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Solution
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
Which of the following is incorrect ?
If a = b (mod m) and x is an integer, then
Which of the following is incorrect ?
If a = b (mod m) and x is an integer, then
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
Inverse of a diagonal non-singular matirx is
Inverse of a diagonal non-singular matirx is
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
If ax4+bx3+cx2+dx+e = |
x3+3xx−1x+3
x+1−2xx−4
x−3x+43x
|,then e =
If ax4+bx3+cx2+dx+e = |
x3+3xx−1x+3
x+1−2xx−4
x−3x+43x
|,then e =
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
If
→
a
,
→
b
 and
→
c
 are three non-coplanar vectors and
→
p
,
→
q
, and
→
r
 are vectors defined
→
p
=
(
→
b
×
→
c
)
[
→
a
→
b
→
c
]
,
→
q
=
(
→
c
×
→
a
)
[
→
a
→
a
→
c
]
,
→
r
=
(
→
a
×
→
b
)
[
→
a
→
b
→
c
]
, then the value of
(
→
a
+
→
b
).
→
p
+(
→
b
+
→
c
).
→
q
 + (
→
c
+
→
a
).
→
r
=
If
→
a
,
→
b
 and
→
c
 are three non-coplanar vectors and
→
p
,
→
q
, and
→
r
 are vectors defined
→
p
=
(
→
b
×
→
c
)
[
→
a
→
b
→
c
]
,
→
q
=
(
→
c
×
→
a
)
[
→
a
→
a
→
c
]
,
→
r
=
(
→
a
×
→
b
)
[
→
a
→
b
→
c
]
, then the value of
(
→
a
+
→
b
).
→
p
+(
→
b
+
→
c
).
→
q
 + (
→
c
+
→
a
).
→
r
=
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
If (
→
a
×
→
b
)2+(
→
a
.
→
b
)2 = 144 and |
→
a
|=4, then |
→
b
|=
If (
→
a
×
→
b
)2+(
→
a
.
→
b
)2 = 144 and |
→
a
|=4, then |
→
b
|=
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
Which of the following is false ?
Which of the following is false ?
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
2cos−1x = sin−1(2x√(1−x2)) is valid for all values of x satisfying
2cos−1x = sin−1(2x√(1−x2)) is valid for all values of x satisfying
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
If α is a complex number such that α2−α+1=0, then α2011
If α is a complex number such that α2−α+1=0, then α2011
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
if cosα+2cosβ+3cosγ=0,sinα+2sinβ+3sinγ=0 and α+β+γ=π, then
sin3α+8sin3β+27sin3γ=
if cosα+2cosβ+3cosγ=0,sinα+2sinβ+3sinγ=0 and α+β+γ=π, then
sin3α+8sin3β+27sin3γ=
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
If conjugate of (x+iy)(1−2i) isv 1 + i, then
If conjugate of (x+iy)(1−2i) isv 1 + i, then
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
If the straight line 3x+4y=k touches the circle x2+y2=16x, then the value of k
If the straight line 3x+4y=k touches the circle x2+y2=16x, then the value of k
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
The locus of the point of intersection of perpendicular tangents to the ellipse is called
The locus of the point of intersection of perpendicular tangents to the ellipse is called
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
If msin−1x=loge y,then (1−x2)y"−y′=
If msin−1x=loge y,then (1−x2)y"−y′=
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
If y=elog9[1+x+x2+...] and |x|<1, then ‌
dy
dx
=
If y=elog9[1+x+x2+...] and |x|<1, then ‌
dy
dx
=
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
Length of the subtangent at (x1,y1) on xnym=am+n, m,n > 0, is
Length of the subtangent at (x1,y1) on xnym=am+n, m,n > 0, is
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
If a ball is thrown vertically upwards and the height ‘s’ reached in time ‘t’ is given by s=22t−11t2, then the total distance travelled by the ball is
If a ball is thrown vertically upwards and the height ‘s’ reached in time ‘t’ is given by s=22t−11t2, then the total distance travelled by the ball is
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
The sum of two positive numbers is given. If the sum of their cubes is minimum, then
The sum of two positive numbers is given. If the sum of their cubes is minimum, then
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
π
3
∫
π
6
sin3x
sin3x+cos3x
dx=
π
3
∫
π
6
sin3x
sin3x+cos3x
dx=
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
lt
x→0
x2x−x
1−cosx
=
lt
x→0
x2x−x
1−cosx
=
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
if
3x+1
(x−1)(x+3)
=
A
x−1
+
B
x+3
, then sin−1
A
B
=
if
3x+1
(x−1)(x+3)
=
A
x−1
+
B
x+3
, then sin−1
A
B
=
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
If α,β,γ are the roots of the equation x3+4x+2=0, α3+β3+γ3=
If α,β,γ are the roots of the equation x3+4x+2=0, α3+β3+γ3=
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
The value of 10C1+10C2+10C3+.......+10C9 is
The value of 10C1+10C2+10C3+.......+10C9 is
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
p→~q can also be written as
p→~q can also be written as
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
If f : ℝ→ℝ is defined by f(x)=2x+3, then f−1(x)
If f : ℝ→ℝ is defined by f(x)=2x+3, then f−1(x)
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
sin‌70°+cos‌40°
cos‌70°+sin‌40°
 =
sin‌70°+cos‌40°
cos‌70°+sin‌40°
 =
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
The points (11,9), (2,1), and (2,-1) are the midpoints of the sides of the triangle. Then the centroid is
The points (11,9), (2,1), and (2,-1) are the midpoints of the sides of the triangle. Then the centroid is
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
The reflection of the point (1,1) along the line y=−x is
The reflection of the point (1,1) along the line y=−x is
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
The number of circles that touch the co-ordinate axes and the line whose slope is -1 and y-intercept is 1, is
The number of circles that touch the co-ordinate axes and the line whose slope is -1 and y-intercept is 1, is
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
If f(x) is an even function , then f'(x) is
If f(x) is an even function , then f'(x) is
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
The perimeter of sector is a constant. If its area is to be maximum, then the sectorial angle is
The perimeter of sector is a constant. If its area is to be maximum, then the sectorial angle is
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
The last digit of number 7886 is
The last digit of number 7886 is
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
If (24,92) = 24m+92n, then (m,n) is
If (24,92) = 24m+92n, then (m,n) is
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
The characteristic equation of a matrix A is λ3−5λ2−3λ+2=0 then |adj(A)|=
The characteristic equation of a matrix A is λ3−5λ2−3λ+2=0 then |adj(A)|=
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
If
∧
i
+
∧
j
−
∧
k
 and the 2
∧
i
−3
∧
j
+
∧
k
 are adjacent sides of parallelogram, then the lengths of its diagonals are
If
∧
i
+
∧
j
−
∧
k
 and the 2
∧
i
−3
∧
j
+
∧
k
 are adjacent sides of parallelogram, then the lengths of its diagonals are
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
If the volume of the parallelopiped formed by three non-coplanar vectors
→
a
,
→
b
 and
→
c
 is 4 cubic units , then [
→
a
×
→
b
 
→
b
×
→
c
 
→
c
×
→
a
] =
If the volume of the parallelopiped formed by three non-coplanar vectors
→
a
,
→
b
 and
→
c
 is 4 cubic units , then [
→
a
×
→
b
 
→
b
×
→
c
 
→
c
×
→
a
] =
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
Which of the following is a subgroup of the group G = {2n|n ∊ Z} under multiplication ?
Which of the following is a subgroup of the group G = {2n|n ∊ Z} under multiplication ?
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
In the group G = {1,2,3,4,5,6} under ⊗7, the solution of 4⊗7x=5 is
In the group G = {1,2,3,4,5,6} under ⊗7, the solution of 4⊗7x=5 is
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
The number of real solutions of the equation tan−1√x(x+1)+sin−1√x2+x+1=
π
2
 is
The number of real solutions of the equation tan−1√x(x+1)+sin−1√x2+x+1=
π
2
 is
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
If sin2x=cos4x, then x=
If sin2x=cos4x, then x=
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
If α and β are different complex numbers with |β|=1, then |
β−α
1−
−
α
β
| is equal to
If α and β are different complex numbers with |β|=1, then |
β−α
1−
−
α
β
| is equal to
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
If equations of the two tangents from (-5,-6) to the circle x2+y2+4x+6y+8=0
If equations of the two tangents from (-5,-6) to the circle x2+y2+4x+6y+8=0
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
If x=t2+2 and y=2t represent the parametric equation of the parabola
If x=t2+2 and y=2t represent the parametric equation of the parabola
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
if x−y=1 is a tangent to the hyperbola
x2
4
−
y2
3
=1,the point of contact is
if x−y=1 is a tangent to the hyperbola
x2
4
−
y2
3
=1,the point of contact is
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
If y=tan−1(
1
1+x+x2
)+tan−1(
1
x2+2x+3
)+tan−1(
1
x2+5x+7
)+.......n terms, then y'(0) is
If y=tan−1(
1
1+x+x2
)+tan−1(
1
x2+2x+3
)+tan−1(
1
x2+5x+7
)+.......n terms, then y'(0) is
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
If f(x)=sin[π2]x+cos[π2]x then f′(0) is, here [π2] and [−π2] greatest integer function not greater than its value
If f(x)=sin[π2]x+cos[π2]x then f′(0) is, here [π2] and [−π2] greatest integer function not greater than its value
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
The tangent to the curve xy = 25 at any point on it cuts the coordinate axes at A and B, then the area of the triangle OAB is
The tangent to the curve xy = 25 at any point on it cuts the coordinate axes at A and B, then the area of the triangle OAB is
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
The length of the sub-tangent, ordinate and the sub-normal are in
The length of the sub-tangent, ordinate and the sub-normal are in
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
The maximum value of xe−x is
The maximum value of xe−x is
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
If [x] is the greatest integer function not greater than x, then
11
∫
0
[x]dx=
If [x] is the greatest integer function not greater than x, then
11
∫
0
[x]dx=
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
If n ∊ N and In=∫(logx)ndx, then In+nIn−1=
If n ∊ N and In=∫(logx)ndx, then In+nIn−1=
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
Solution e
dy
dx
=x when x = 1 and y = 0 is
Solution e
dy
dx
=x when x = 1 and y = 0 is
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
If f(x)={
x2−(a+2)x+a
x−2
x≠2
2x=2
$ is continuous at x=2, then the value of a is
If f(x)={
x2−(a+2)x+a
x−2
x≠2
2x=2
$ is continuous at x=2, then the value of a is
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
If log2(9x−1+7)−log2(3x−1+1)=2, then x values are
If log2(9x−1+7)−log2(3x−1+1)=2, then x values are
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
If x−1 is factor of x5−4x3+2x2−3x+k=0, then k is
If x−1 is factor of x5−4x3+2x2−3x+k=0, then k is
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
If A and B have n elements in common, then the number of elements common to A×B and B×A is
If A and B have n elements in common, then the number of elements common to A×B and B×A is
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
The 13th term in the expansion of (x2+
2
x2
)n is independent of x then the sum of the divisors of n is
The 13th term in the expansion of (x2+
2
x2
)n is independent of x then the sum of the divisors of n is
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
If one of the slopes of the pair of lines ax2+2hxy+by2=0 is n times the other then
If one of the slopes of the pair of lines ax2+2hxy+by2=0 is n times the other then
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
If f(x)=|
sinxcosxtanx
x3x2x
2x1x
| then
lt
x→0
f(x)
x2
=
If f(x)=|
sinxcosxtanx
x3x2x
2x1x
| then
lt
x→0
f(x)
x2
=
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
The number of solutions of the equation z2+
−
z
=0 where z ∊ C are
The number of solutions of the equation z2+
−
z
=0 where z ∊ C are
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
The least and the greatest distances of the point (10,7) from the circle x2+y2−4x−2y−20=0 are
The least and the greatest distances of the point (10,7) from the circle x2+y2−4x−2y−20=0 are
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
The dimensional formula of physical quantity is MaLbTc.Then that physical quantity is
The dimensional formula of physical quantity is MaLbTc.Then that physical quantity is
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
A person throws balls into air vertically upward in regular intervals of time of one second.The next ball is thrown when the velocity of the ball thrown earlier becomes zero.The height to which the balls rise is....
(Assume , g=10ms−2)
A person throws balls into air vertically upward in regular intervals of time of one second.The next ball is thrown when the velocity of the ball thrown earlier becomes zero.The height to which the balls rise is....
(Assume , g=10ms−2)
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
The circular motion of a particle with constant speed is
The circular motion of a particle with constant speed is
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
A planet moving around sun sweeps area A1 in 2 days,A2 in 3 days and A3 in 6 days. Then the relation between A1,A2 and A3 is
A planet moving around sun sweeps area A1 in 2 days,A2 in 3 days and A3 in 6 days. Then the relation between A1,A2 and A3 is
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
A,B, and C are three identical conductors but made from different materials .They are kept in contact as shown.
Their thermal conductivities are K,2K and
K
2
.The free end of A is at 100° C and the free end of C is at 0° C. During steady state, the temperature of the junction of A and B is nearly.....°C
A,B, and C are three identical conductors but made from different materials .They are kept in contact as shown.
Their thermal conductivities are K,2K and
K
2
.The free end of A is at 100° C and the free end of C is at 0° C. During steady state, the temperature of the junction of A and B is nearly.....°C
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
One mole of an ideal gad is taken from A to B, from B to C and then back to A. The variation of its volume with temperature for that change is as shown .Its pressure at A is P0,volume is V0.Then ,the internal energy
One mole of an ideal gad is taken from A to B, from B to C and then back to A. The variation of its volume with temperature for that change is as shown .Its pressure at A is P0,volume is V0.Then ,the internal energy
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
Which of the following is incorrect ?
Which of the following is incorrect ?
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
Intensity level of sound whose intensity is 10−8wm−2 is....dB
Intensity level of sound whose intensity is 10−8wm−2 is....dB
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
A point source of light us kept below the surface of water (nw=
4
3
) at a depth of √7m. The radius of the circular bright patch of light noticed on the surface water is....m
A point source of light us kept below the surface of water (nw=
4
3
) at a depth of √7m. The radius of the circular bright patch of light noticed on the surface water is....m
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
A monochromatic beam of light is travelling from medium A of refractive index n1 to a medium B of refractive index n2.In the medium A,here are x number of waves in certain distance . In the medium B ,there are y number of waves in the same distance.Then, refractive index of medium A with respect to medium B is....
A monochromatic beam of light is travelling from medium A of refractive index n1 to a medium B of refractive index n2.In the medium A,here are x number of waves in certain distance . In the medium B ,there are y number of waves in the same distance.Then, refractive index of medium A with respect to medium B is....
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
In Young's double slit experiment ,fringes of width β are produced on a screen kept at a distance of 1 m from the slit.When the screen is moved away by 5×10−2m,fringe width changes by 3×10−5m.The separation between the slits is 1×10−3m.The wavelength of the light used is ...........nm.
In Young's double slit experiment ,fringes of width β are produced on a screen kept at a distance of 1 m from the slit.When the screen is moved away by 5×10−2m,fringe width changes by 3×10−5m.The separation between the slits is 1×10−3m.The wavelength of the light used is ...........nm.
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
For sustained interference fringes in double slit experiment, essential condition/s is/are
(a) sources must be coherent
(b) the intensities of the two sources must be equal
Here, the correct option/s is/are
For sustained interference fringes in double slit experiment, essential condition/s is/are
(a) sources must be coherent
(b) the intensities of the two sources must be equal
Here, the correct option/s is/are
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
In single slit experiment, the width of slit is reduced. Then, the linear width of the principal maxima.....
In single slit experiment, the width of slit is reduced. Then, the linear width of the principal maxima.....
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
In the uniform electric field of E=1×104NC−1, an electron is accelerated from rest. The velocity of electron when it has travelled a distance of 2×10−2m is nearly .......ms−1
(
e
m
 of electron ≂ 1.8×1011Ckg−1)
In the uniform electric field of E=1×104NC−1, an electron is accelerated from rest. The velocity of electron when it has travelled a distance of 2×10−2m is nearly .......ms−1
(
e
m
 of electron ≂ 1.8×1011Ckg−1)
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
In this diagram, the P.D. between A and B is 60V, The P.D. across 6µF capacitor is.......V
In this diagram, the P.D. between A and B is 60V, The P.D. across 6µF capacitor is.......V
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
In this circuit, when certain current flows, the heat produced in 5Ω is 4.05J in a time t. The heat produced in 2Ω coil in the same time interval is
In this circuit, when certain current flows, the heat produced in 5Ω is 4.05J in a time t. The heat produced in 2Ω coil in the same time interval is
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
In this circuit, the value of I2 is
In this circuit, the value of I2 is
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
A straight current carrying conductor is kept, along the axis of circular loop carrying current. The force exerted by the straight conductor on the loop is__________
A straight current carrying conductor is kept, along the axis of circular loop carrying current. The force exerted by the straight conductor on the loop is__________
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
A resistor of 500Ω, an induced of 0.5H are in series with an a.c. which is given by V=100√2sin(100t).The power factor of the combination is
A resistor of 500Ω, an induced of 0.5H are in series with an a.c. which is given by V=100√2sin(100t).The power factor of the combination is
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
Pick out the WRONG statement.
Pick out the WRONG statement.
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
A proton and an alpha particle are accelerated under the same potential difference . The ratio of de-Broglie wavelengths of the proton and the alpha particle is
A proton and an alpha particle are accelerated under the same potential difference . The ratio of de-Broglie wavelengths of the proton and the alpha particle is
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
Spectrum of sunlight is an example for
Spectrum of sunlight is an example for
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
In hydrogen atom, electron excites from ground sate to higher energy state and its orbital velocity is reduced to
1
3rd
 of its initial value. The radius of the orbit in the ground state is R. The radius if the orbit in that higher energy state is.....
In hydrogen atom, electron excites from ground sate to higher energy state and its orbital velocity is reduced to
1
3rd
 of its initial value. The radius of the orbit in the ground state is R. The radius if the orbit in that higher energy state is.....
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
Decay constants of two radio-active samples A and B are 15x and 3x respectively. They have equal number of initial nuclei. The ratio of the number of nuclei left in A and B after a time
1
6x
 is
Decay constants of two radio-active samples A and B are 15x and 3x respectively. They have equal number of initial nuclei. The ratio of the number of nuclei left in A and B after a time
1
6x
 is
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
Mass number of the elements A,B,C and D are 30, 60, 90 and 120 respectively. The specific binding energy of them are 5 MeV, 8.5 MeV, 8 MeV, and 7 MeV respectively. Then, in which of the following reaction/s energy is released?
(a)D→2B
(b)C→B+A
(c) B→2A
Mass number of the elements A,B,C and D are 30, 60, 90 and 120 respectively. The specific binding energy of them are 5 MeV, 8.5 MeV, 8 MeV, and 7 MeV respectively. Then, in which of the following reaction/s energy is released?
(a)D→2B
(b)C→B+A
(c) B→2A
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
Copper and Germanium are cooled from room temperature to 100K. Then the resistance of
Copper and Germanium are cooled from room temperature to 100K. Then the resistance of
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
The most stable particle in the Baryon group is
The most stable particle in the Baryon group is
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
Frequencies of light incident on a system of scattering particles are in the ratio of 1 : 2, Then, the intensity of scattered light in a particular direction is..................
Frequencies of light incident on a system of scattering particles are in the ratio of 1 : 2, Then, the intensity of scattered light in a particular direction is..................
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
Th ratio of the magnetic dipole moment to the angular momentum of the electron in the 1st orbit of hydrogen atom is
Th ratio of the magnetic dipole moment to the angular momentum of the electron in the 1st orbit of hydrogen atom is
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
Milk is an example for
Milk is an example for
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
A body of mass ′m′ is travelling with a velocity ′u′ . When a constant retarding force ′F′ is applied, it comes to rest after travelling a distance ‘s1’.If the initial velocity is 2u, with the same force F, the distance traveled before it comes to rest is ‘s2’.Then
A body of mass ′m′ is travelling with a velocity ′u′ . When a constant retarding force ′F′ is applied, it comes to rest after travelling a distance ‘s1’.If the initial velocity is 2u, with the same force F, the distance traveled before it comes to rest is ‘s2’.Then
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
A block kept on a rough surface starts sliding when the inclination of the surface is ‘θ’ with respect to the horizontal . The coefficient of static friction between the block and the surface is
A block kept on a rough surface starts sliding when the inclination of the surface is ‘θ’ with respect to the horizontal . The coefficient of static friction between the block and the surface is
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
Two bodies of masses m1 and m2 are acted upon by a constant force F for a time t.They start from rest and acquire kinetic energies E1 and E2 respectively. Then
E1
E2
 is
Two bodies of masses m1 and m2 are acted upon by a constant force F for a time t.They start from rest and acquire kinetic energies E1 and E2 respectively. Then
E1
E2
 is
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
The X and Y components of a force F acting at 30° to x-axis are respectively
The X and Y components of a force F acting at 30° to x-axis are respectively
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
Spheres of iron and lead having same mass are completely immersed in water. Density of lead is more than that of iron. Apparent loss of weight is W1 for iron sphere and W2 for lead sphere
W1
W2
 is
Spheres of iron and lead having same mass are completely immersed in water. Density of lead is more than that of iron. Apparent loss of weight is W1 for iron sphere and W2 for lead sphere
W1
W2
 is
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
A hot body is allowed to cool. The surrounding temperature is constant at 30°C. The body takes time t1 to cool from 90°C to 89°C and t2 to cool from 60°C to 59.5°C. Then,
A hot body is allowed to cool. The surrounding temperature is constant at 30°C. The body takes time t1 to cool from 90°C to 89°C and t2 to cool from 60°C to 59.5°C. Then,
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
A particle executes SHM with amplitude 0.2m and the time period 24s. The time required for it to move from the mean position to a point 0.1m from the mean position is
A particle executes SHM with amplitude 0.2m and the time period 24s. The time required for it to move from the mean position to a point 0.1m from the mean position is
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
White light is incident normally on a glass slab. Inside the glass slab,
White light is incident normally on a glass slab. Inside the glass slab,
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
Two thin plano-convex lenses each of focal length f are placed as shown in the figure. The ratio of their effective focal lengths in the three cases is
Two thin plano-convex lenses each of focal length f are placed as shown in the figure. The ratio of their effective focal lengths in the three cases is
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
If the two slits in Young's double slit experiment are unequal width, then
If the two slits in Young's double slit experiment are unequal width, then
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
The phenomenon of polarization shows that light has ________nature.
The phenomenon of polarization shows that light has ________nature.
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
Acceleration of a charged particle of charge ‘q’ and mass ‘m’ moving in a uniform electric field of strength ‘E’ is
Acceleration of a charged particle of charge ‘q’ and mass ‘m’ moving in a uniform electric field of strength ‘E’ is
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
Two fixed charges A and B of 5µC each are separated by a distance of 6m. C is the mid point of the line joining A and B. A charge Q of −5µC is shot perpendicular to the line joining A and B through C with a kinetic energy of 0.064 J. The charge ‘Q’ comes to rest at a point D. The distance CD is
Two fixed charges A and B of 5µC each are separated by a distance of 6m. C is the mid point of the line joining A and B. A charge Q of −5µC is shot perpendicular to the line joining A and B through C with a kinetic energy of 0.064 J. The charge ‘Q’ comes to rest at a point D. The distance CD is
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
A capacitor of capacitance 10µF is charged to 10V. The energy stored in it is
A capacitor of capacitance 10µF is charged to 10V. The energy stored in it is
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
Which of the following graphs correctly represents the variation of heat energy (U) produced in a metallic conductor in a given time as a function of potential difference (V) across the conductor ?
Which of the following graphs correctly represents the variation of heat energy (U) produced in a metallic conductor in a given time as a function of potential difference (V) across the conductor ?
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
A current of 2A is passing though a metal wire of cross sectional area 2×10−6m2. If the number density of free electrons i the wire is 5×1026m−3, the drift speed of the electrons is
(given e=1.6×10−19C)
A current of 2A is passing though a metal wire of cross sectional area 2×10−6m2. If the number density of free electrons i the wire is 5×1026m−3, the drift speed of the electrons is
(given e=1.6×10−19C)
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
Magnetic field at a distance r from an infinitely long straight conductor carrying a steady current varies as
Magnetic field at a distance r from an infinitely long straight conductor carrying a steady current varies as
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
In the loop shown, the magnetic induction at the point ‘O’ is
In the loop shown, the magnetic induction at the point ‘O’ is
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
An α-particle and a proton moving with the same kinetic energy enter a region of uniform magnetic field at right angles to the field. The ratio of the radii of the paths of α-particle to that of the proton is
An α-particle and a proton moving with the same kinetic energy enter a region of uniform magnetic field at right angles to the field. The ratio of the radii of the paths of α-particle to that of the proton is
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
Direction of the current induced in a wire moving in a magnetic field is found using
Direction of the current induced in a wire moving in a magnetic field is found using
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
An ideal resistance R, ideal inductance L, ideal capacitance C and AC volt meters V1,V2,V3 and V4 are connected to an AC source as shown. At resonance,
An ideal resistance R, ideal inductance L, ideal capacitance C and AC volt meters V1,V2,V3 and V4 are connected to an AC source as shown. At resonance,
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
X-rays, gamma rays and microwaves travelling in vacuum have
X-rays, gamma rays and microwaves travelling in vacuum have
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
If n is the orbit number of the electron in a hydrogen atom, the correct statement among the following is
If n is the orbit number of the electron in a hydrogen atom, the correct statement among the following is
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
In a Ruby laser, the colour of laser light is due to___________atom.
In a Ruby laser, the colour of laser light is due to___________atom.
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
The radius of 29Cu64 nucleus in Fermi is
(given R0=1.2×10−15m)
The radius of 29Cu64 nucleus in Fermi is
(given R0=1.2×10−15m)
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
In a radioactive decay, an element ZXA emits four α-particles , three β-particles and eight gamma photons. The atomic number and mass number of the resulting final nucleus are
In a radioactive decay, an element ZXA emits four α-particles , three β-particles and eight gamma photons. The atomic number and mass number of the resulting final nucleus are
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
For a transistor, β = 100. The value of α is
For a transistor, β = 100. The value of α is
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
The following truth table with A and B as inputs for ________gate.

The following truth table with A and B as inputs for ________gate.
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
‘n’ photons of wavelength ‘λ’ are absorbed by a black body of mass ‘m’. The momentum gained by the body is
‘n’ photons of wavelength ‘λ’ are absorbed by a black body of mass ‘m’. The momentum gained by the body is
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
A radioactive nucleus has specific binding energy ′E′1. It emits an α-particle. The resulting nucleus has specific binding energy ′E′2. Then
A radioactive nucleus has specific binding energy ′E′1. It emits an α-particle. The resulting nucleus has specific binding energy ′E′2. Then
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
The mass of a non-volatile solute of molar mass 40gmol−1 that should be dissolved in 114 g of octane to lower its vapour pressure by 20% is
The mass of a non-volatile solute of molar mass 40gmol−1 that should be dissolved in 114 g of octane to lower its vapour pressure by 20% is
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
During the adsorption of a gas on the surface of a solid, which of the following is TRUE ?
During the adsorption of a gas on the surface of a solid, which of the following is TRUE ?
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
The approximate time duration in hours to electroplate 30 g of calcium from molten calcium chloride using a current of 5 amp is
[At. mass of Ca=40]
The approximate time duration in hours to electroplate 30 g of calcium from molten calcium chloride using a current of 5 amp is
[At. mass of Ca=40]
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
The pH pf the solution obtained by mixing 100 ml of a solution of pH = 3 with 400 ml of a solution of pH = 4 is
The pH pf the solution obtained by mixing 100 ml of a solution of pH = 3 with 400 ml of a solution of pH = 4 is
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
The equilibrium constant of the reaction:
A(s)+2B(aq)+⇌A(aq)2++2B(s);E°cell=0.0295V is
[
(2.303RT)
F
=0.059]
The equilibrium constant of the reaction:
A(s)+2B(aq)+⇌A(aq)2++2B(s);E°cell=0.0295V is
[
(2.303RT)
F
=0.059]
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
An oxygen containing organic compound was found to contain 52% carbon and 13% of hydrogen. Its vapour density is 23. The compound reacts with sodium metal to liberate hydrogen. A functional isomer of this compound is
An oxygen containing organic compound was found to contain 52% carbon and 13% of hydrogen. Its vapour density is 23. The compound reacts with sodium metal to liberate hydrogen. A functional isomer of this compound is
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
Which one of the following is NOT true regarding electromeric effect?
Which one of the following is NOT true regarding electromeric effect?
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
Which one of the following is NOT formed when a mixture of methyl bromide and bromobenzene is heated with sodium metal in the presence of dry air
Which one of the following is NOT formed when a mixture of methyl bromide and bromobenzene is heated with sodium metal in the presence of dry air
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
Power alcohol is a mixture of
Power alcohol is a mixture of
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
Identify ‘C’ in the following :
Identify ‘C’ in the following :
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
20 ml of methane is completely burnt using 50 ml of oxygen. Then volume of the gas left after cooling to room temperature is
20 ml of methane is completely burnt using 50 ml of oxygen. Then volume of the gas left after cooling to room temperature is
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
100 ml of 0.1 M acetic acid is completely neutralized using a standard solution of NaOH. The volume of Ethane obtained at STP after the complete electrolysis of resulting solution is
100 ml of 0.1 M acetic acid is completely neutralized using a standard solution of NaOH. The volume of Ethane obtained at STP after the complete electrolysis of resulting solution is
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
Saccharian, an artificial sweetner, is manufactured from
Saccharian, an artificial sweetner, is manufactured from
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
Which of the following is NOT TRUE for SN1 reaction ?
Which of the following is NOT TRUE for SN1 reaction ?
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
Oil of winter green is
Oil of winter green is
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
An organic compound ‘A’ burns with a sooty flame. It is negative towards Tollen's reagent test and positive for Borsche's reagent test. The compound ‘A’ is
An organic compound ‘A’ burns with a sooty flame. It is negative towards Tollen's reagent test and positive for Borsche's reagent test. The compound ‘A’ is
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
For a reaction : A+B→ Products, the rate of the reaction at various concentrations are given below :

The rate law for the above reaction is
For a reaction : A+B→ Products,the rate of the reaction at various concentrations are given below :

The rate law for the above reaction is
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
Which one of the following has NO unpaired electrons ?
Which one of the following has NO unpaired electrons ?
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
The atomic number of cobalt is 27. The EAN of cobalt IN Na3[Co(NO2)4Cl4] is
The atomic number of cobalt is 27. The EAN of cobalt IN Na3[Co(NO2)4Cl4] is
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
The "spin only" magnetic moment of Ni2+ in aqueous solution would be
[At No. of Ni = 28]
The "spin only" magnetic moment of Ni2+ in aqueous solution would be
[At No. of Ni = 28]
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
Impossible orbital among the following is
Impossible orbital among the following is
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
The total number of electrons in 18 ml of water (density -1 g ml−1)
The total number of electrons in 18 ml of water (density -1 g ml−1)
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
The number of moles of hydrogen that can be added to 1 mole of an oil is the highest in
The number of moles of hydrogen that can be added to 1 mole of an oil is the highest in
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
The reaction between sodium and the water can be made less vigorous by
The reaction between sodium and the water can be made less vigorous by
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
All colloidal dispersions have
All colloidal dispersions have
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
Silver iodide is used for producing artificial rain because AgI
Silver iodide is used for producing artificial rain because AgI
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
The equilibrium constant of a reaction is 0.008 at 298K. The standard free energy charge of the reaction at the same temperature is
The equilibrium constant of a reaction is 0.008 at 298K. The standard free energy charge of the reaction at the same temperature is
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
The function of potassium ethyl xanthate in forth floatation process is to make the ore
The function of potassium ethyl xanthate in forth floatation process is to make the ore
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
The correct order of electronegativities of N, O, F & P is
The correct order of electronegativities of N, O, F & P is
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
The s-block element used as a catalyst in the manufacture of Buna-S rubber is
The s-block element used as a catalyst in the manufacture of Buna-S rubber is
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
Which of the following is NOT a characteristic of a covalent compound ?
Which of the following is NOT a characteristic of a covalent compound ?
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
The volume of 0.1 M oxalic acid that can be completely oxidized by 20 ml of 0.025 M KMnO4 solution is
The volume of 0.1 M oxalic acid that can be completely oxidized by 20 ml of 0.025 M KMnO4 solution is
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
A ligand is
A ligand is
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
The vapour pressures of two liquids A and B in their pure states are in the ratio of 1 : 2. A binary solutin of A and B contains A and B in the mole proportion of 1 : 2. The mole fraction of A in the vapour phase of the solution will be
The vapour pressures of two liquids A and B in their pure states are in the ratio of 1 : 2. A binary solutin of A and B contains A and B in the mole proportion of 1 : 2. The mole fraction of A in the vapour phase of the solution will be
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
Which of the following statements is TRUE ?
Which of the following statements is TRUE ?
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
5 ml of 0.4 N NaOH is mixed with 20 ml of 0.1 N HCl. The pH of the resulting solution will be
5 ml of 0.4 N NaOH is mixed with 20 ml of 0.1 N HCl. The pH of the resulting solution will be
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
On adding which of the following, the pH of 20 ml of 0.1 N HCl will not alter ?
On adding which of the following, the pH of 20 ml of 0.1 N HCl will not alter ?
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
Which one of the following has a potential more than zero
Which one of the following has a potential more than zero
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
HCHO was treated with a reagent X. The product formed upon hydrolysis in the presence of an acid gave C2H5OH. The reagent X is
HCHO was treated with a reagent X. The product formed upon hydrolysis in the presence of an acid gave C2H5OH. The reagent X is
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
Benzylamine is a stronger base than aniline because
Benzylamine is a stronger base than aniline because
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
The relative acidic strengths of benzoic acid, o-toluic acid and p-toluic acid is the decreasing order :
The relative acidic strengths of benzoic acid, o-toluic acid and p-toluic acid is the decreasing order :
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
The C-H bond and C-C bond in ethane are formed by which of the following types of overlap ?
The C-H bond and C-C bond in ethane are formed by which of the following types of overlap ?
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
The IUPAC name of

is
The IUPAC name of

is
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
A first order reaction is 60% complete in 20 minutes. How long will the reaction take to be 84% complete ?
A first order reaction is 60% complete in 20 minutes. How long will the reaction take to be 84% complete ?
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
A given sample of milk turns sour at room temperature (27°C) in 5 hours. In a refrigerator at -3°C, it can be stored 10 times longer. The energy of activation for the souring of milk is
A given sample of milk turns sour at room temperature (27°C) in 5 hours. In a refrigerator at -3°C, it can be stored 10 times longer. The energy of activation for the souring of milk is
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
At 300K, a gaseous reaction :
    A → B+ C
was found to follow first order kinetics. Starting with pure A, the total pressure at the end of 20 minutes was 100 mm of Hg. The total pressure after the completion of the reaction is 180 mm of Hg. The partial pressure of A (in mm of Hg) is
At 300K, a gaseous reaction :
    A → B+ C
was found to follow first order kinetics. Starting with pure A, the total pressure at the end of 20 minutes was 100 mm of Hg. The total pressure after the completion of the reaction is 180 mm of Hg. The partial pressure of A (in mm of Hg) is
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
From the Ellingham graphs on carbon, which o the following statements is FLASE ?
From the Ellingham graphs on carbon, which o the following statements is FLASE ?
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
Which of the following is a negatively charged bidentate ligand ?
Which of the following is a negatively charged bidentate ligand ?
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
The secondary valency of platinum in tetra ammine dichloroplatinum (IV) chloride is
The secondary valency of platinum in tetra ammine dichloroplatinum (IV) chloride is
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
Which one of the following has a magnetic moment of 1.75 BM ?
Which one of the following has a magnetic moment of 1.75 BM ?
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
The correct order of ionisation energy of C, N, O & F is
The correct order of ionisation energy of C, N, O & F is
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
The correct set of four quantum numbers for the outermost electron of sodium (Z = 11) is
The correct set of four quantum numbers for the outermost electron of sodium (Z = 11) is
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
The ore that is concentrated by the Forth Floatation process s
The ore that is concentrated by the Forth Floatation process s
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
The equivalent mass of a certain bivalent metal is 20. The molecular mass of its anhydrous chloride is
The equivalent mass of a certain bivalent metal is 20. The molecular mass of its anhydrous chloride is
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
2 moles of N2O4(g) is kept in a closed container at 298 K and under 1 atm pressure. It is heated to 596 K when 20% by mass of N2O4(g) decomposes to NO2. The resulting pressure is
2 moles of N2O4(g) is kept in a closed container at 298 K and under 1 atm pressure. It is heated to 596 K when 20% by mass of N2O4(g) decomposes to NO2. The resulting pressure is
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
Sucrose is NOT a reducing sugar since
Sucrose is NOT a reducing sugar since
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
Which one of the following contains ionic, covalent and co-ordinatecbonds ?
Which one of the following contains ionic, covalent and co-ordinatecbonds ?
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
Dialysis can be used to separate
Dialysis can be used to separate
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
The percentage of p-character of the hybrid orbitals in graphite and diamond are respectively
The percentage of p-character of the hybrid orbitals in graphite and diamond are respectively
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
A gas expands from a volume of 1 m3 to a volume of 2 m3 against an external pressure of 105 Nm−2. The work done by the gas will be
A gas expands from a volume of 1 m3 to a volume of 2 m3 against an external pressure of 105 Nm−2. The work done by the gas will be
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