Please wait...

Solution
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
PART - I (PHYSICS)
The distance of the centres of moon and earth is D. The mass of earth is 81 times the mass of the moon. At what distance from the centre of the earth, the gravitational force will be zero?
PART - I (PHYSICS)
The distance of the centres of moon and earth is D. The mass of earth is 81 times the mass of the moon. At what distance from the centre of the earth, the gravitational force will be zero?
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
Two wires A and B are of the same material. Their lengths are in the ratio of 1:2 and the diameter are in the ratio 2:1. If they are pulled by the same force, then increase in length will be in the ratio of
Two wires A and B are of the same material. Their lengths are in the ratio of 1:2 and the diameter are in the ratio 2:1. If they are pulled by the same force, then increase in length will be in the ratio of
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
If x=at+bt2, where x is the distance travelled by the body in kilometers while t is the time in seconds, then the unit of b is
If x=at+bt2, where x is the distance travelled by the body in kilometers while t is the time in seconds, then the unit of b is
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
A soap bubble of radius r1 is placed on another soap bubble of radius r2(r1<r2). The radius R of the soapy film separating the two bubbles is
A soap bubble of radius r1 is placed on another soap bubble of radius r2(r1<r2). The radius R of the soapy film separating the two bubbles is
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
A charge q is moving with a velocity v parallel to a magnetic field B. Force on the charge due to magnetic field is
A charge q is moving with a velocity v parallel to a magnetic field B. Force on the charge due to magnetic field is
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
Two spheres A and B of masses m and 2m and radii 2R and R respectively are placed in contact as shown. The COM of the system lies

Two spheres A and B of masses m and 2m and radii 2R and R respectively are placed in contact as shown. The COM of the system lies

Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
Identify the correct statement.
Identify the correct statement.
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
The distance travelled by a particle starting from rest and moving with an acceleration
4
3
ms2
, in the third second is:
The distance travelled by a particle starting from rest and moving with an acceleration
4
3
ms2
, in the third second is:
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
Photoelectric work function of a metal is 1eV. Light of wavelength λ=3000A falls on it. The photo electrons come out with a maximum velocity of :
Photoelectric work function of a metal is 1eV. Light of wavelength λ=3000A falls on it. The photo electrons come out with a maximum velocity of :
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
The coefficient of apparent expansion of mercury in a glass vessel is 153×106°Cand in a steel vessel is 144×106°C. If α for steel is 12×106°C , then that of glass is
The coefficient of apparent expansion of mercury in a glass vessel is 153×106°Cand in a steel vessel is 144×106°C. If α for steel is 12×106°C , then that of glass is
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
A step-up transformer operates on a 230 V line and supplies a load of 2 ampere. The ratio of the primary and secondary windings is 1:25. The current in the primary is
A step-up transformer operates on a 230 V line and supplies a load of 2 ampere. The ratio of the primary and secondary windings is 1:25. The current in the primary is
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
Two bodies of same mass are projected with the same velocity at an angle 30° and 60° respectively. The ratio of their horizontal ranges will be
Two bodies of same mass are projected with the same velocity at an angle 30° and 60° respectively. The ratio of their horizontal ranges will be
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
Two point charges +3 μC and +8 μC repel each other with a force of 40N. If a charge of - 5 μC is added to each of them, then the force between them will become
Two point charges +3 μC and +8 μC repel each other with a force of 40N. If a charge of - 5 μC is added to each of them, then the force between them will become
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
A sphere rolls down on an inclined plane of inclination θ. What is the acceleration as the sphere reaches the bottom?
A sphere rolls down on an inclined plane of inclination θ. What is the acceleration as the sphere reaches the bottom?
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
A given ray of light suffers minimum deviation in an equilateral prism P. Additional prisms Q and R of identical shape and of same material as that of P are now combined as shown in figure. The ray will now suffer

A given ray of light suffers minimum deviation in an equilateral prism P. Additional prisms Q and R of identical shape and of same material as that of P are now combined as shown in figure. The ray will now suffer

Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
The current in the 1Ω resistor shown in the circuit is

The current in the 1Ω resistor shown in the circuit is

Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
The root mean square velocity of hydrogen molecules at 300 K is 1930 metre/sec. Then the r.m.s velocity of oxygen molecules at 1200 K will be
The root mean square velocity of hydrogen molecules at 300 K is 1930 metre/sec. Then the r.m.s velocity of oxygen molecules at 1200 K will be
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
Lenz's law gives
Lenz's law gives
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
A parallel plate capacitor with air between the plates has a capacitance of 8pF. Calculate the capacitance if the distance between the plates is reduced by half and the space between them is filled with a substance of dielectric constant. ( k=6)
A parallel plate capacitor with air between the plates has a capacitance of 8pF. Calculate the capacitance if the distance between the plates is reduced by half and the space between them is filled with a substance of dielectric constant. ( k=6)
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
For a particle executing S.H.M. the displacement x is given by x=Acosωt. Identify the graph which represents the variation of potential energy (P.E.) as a function of time t and displacement x.

For a particle executing S.H.M. the displacement x is given by x=Acosωt. Identify the graph which represents the variation of potential energy (P.E.) as a function of time t and displacement x.

Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
A radioactive sample contains 103kg each of two nuclear species A and B with half-life 4 days and 8 days respectively. The ratio of the amounts of A and B after a period of 16 days is
A radioactive sample contains 103kg each of two nuclear species A and B with half-life 4 days and 8 days respectively. The ratio of the amounts of A and B after a period of 16 days is
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
A string of 7 m length has a mass of 0.035 kg. If tension in the string is 60.5 N, then speed of a wave on the string is
A string of 7 m length has a mass of 0.035 kg. If tension in the string is 60.5 N, then speed of a wave on the string is
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
The following circuit represents

The following circuit represents

Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
A straight section PQ of a circuit lies along the X-axis from x=
a
2
to x=
a
2
and carries a steady current i. The magnetic field due to the section PQ at a point X=+a will be
A straight section PQ of a circuit lies along the X-axis from x=
a
2
to x=
a
2
and carries a steady current i. The magnetic field due to the section PQ at a point X=+a will be
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
A source producing sound of frequency 170 Hz is approaching a stationary observer with a velocity 17ms1. The apparent change in the wavelength of sound heard by the observer is (speed of sound in air=340ms1 )
A source producing sound of frequency 170 Hz is approaching a stationary observer with a velocity 17ms1. The apparent change in the wavelength of sound heard by the observer is (speed of sound in air=340ms1 )
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
PART - II (CHEMISTRY)
Consider the following reactions:
NaCl+K2Cr2O7+H2SO4 (Conc.) (A)+ Side products
(A) +NaOH (B) + Side products
(B) +H2SO4 (dilute) +H2O2 (C)+ Side products
The sum of the totalnumber of atoms in one molecule each of (A), (B) and (C) is __________.
PART - II (CHEMISTRY)
Consider the following reactions:
NaCl+K2Cr2O7+H2SO4 (Conc.) (A)+ Side products
(A) +NaOH (B) + Side products
(B) +H2SO4 (dilute) +H2O2 (C)+ Side products
The sum of the totalnumber of atoms in one molecule each of (A), (B) and (C) is __________.
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
Xenon hexafluoride on partial hydrolysis produces compounds 'X' and 'Y'. Compounds 'X', 'Y' and the oxidation state of Xe are respectively :
Xenon hexafluoride on partial hydrolysis produces compounds 'X' and 'Y'. Compounds 'X', 'Y' and the oxidation state of Xe are respectively :
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
The edge length of unit cell of a metal having molecular weight 75 g/mol is 5Å which crystallizes in cubic lattice. If the density is 2 g/cc then find the radius of metal atom. (NA=6×1023). Give the answer in pm.
The edge length of unit cell of a metal having molecular weight 75 g/mol is 5Å which crystallizes in cubic lattice. If the density is 2 g/cc then find the radius of metal atom. (NA=6×1023). Give the answer in pm.
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
Consider the following statements:
I. Increase in concentration of reactant increases the rate of a zero order reaction.
II. Rate constant k is equal to collision frequency A if Ea=0.
III. Rate constant k is equal to collision frequency A if Ea=.
IV. In k vs T is a straight line.
V. In k vs 1/T is a straight line.
Correct statements are
Consider the following statements:
I. Increase in concentration of reactant increases the rate of a zero order reaction.
II. Rate constant k is equal to collision frequency A if Ea=0.
III. Rate constant k is equal to collision frequency A if Ea=.
IV. In k vs T is a straight line.
V. In k vs 1/T is a straight line.
Correct statements are
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
To deposit 0.634 g of copper by electrolysis of aqueous cupric sulphate solution, the amount of electricity required (in coulombs) is
To deposit 0.634 g of copper by electrolysis of aqueous cupric sulphate solution, the amount of electricity required (in coulombs) is
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
In the following skew conformation of ethane, HCCH" dihedral angle is :
In the following skew conformation of ethane, HCCH" dihedral angle is :
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
What is the product of following reaction?
Hex3ynal
(i)NaBH4
(ii)PBr3,(iii)Mgether,(iv)CO2H3O+
?
What is the product of following reaction?
Hex3ynal
(i)NaBH4
(ii)PBr3,(iii)Mgether,(iv)CO2H3O+
?
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
In the following sequence of reactions,
CH3CH2OH
P+I2
A
Mg
ether
B
HCHO
C
H2O
D
the compound D is
In the following sequence of reactions,
CH3CH2OH
P+I2
A
Mg
ether
B
HCHO
C
H2O
D
the compound D is
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
Which of the following reactions can produce aniline as main product?
Which of the following reactions can produce aniline as main product?
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
Secondary structure of protein refers to
Secondary structure of protein refers to
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
The increasing order for the values of em (charge/mass) is
The increasing order for the values of em (charge/mass) is
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
In which of the following pairs both the ions are coloured in aqueous solutions ?
In which of the following pairs both the ions are coloured in aqueous solutions ?
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
The total number of possible isomers for square - planar [Pt(Cl)(NO2)(NO3)(SCN)]2 is:
The total number of possible isomers for square - planar [Pt(Cl)(NO2)(NO3)(SCN)]2 is:
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
For the reaction, 2SO2(g)+O2g)2SO3(g),
ΔH=57.2kJmol1 and Kc=1.7×1016
Which of the following statement is INCORRECT?
For the reaction, 2SO2(g)+O2g)2SO3(g),
ΔH=57.2kJmol1 and Kc=1.7×1016
Which of the following statement is INCORRECT?
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
The half-life of a reaction is inversely proportional to the square of the initial concentration of the reactant. Then the order of the reaction is
The half-life of a reaction is inversely proportional to the square of the initial concentration of the reactant. Then the order of the reaction is
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
A galvanic cell is set up from electrodes A and B
Electrode A:Cr2O72Cr3+,E°red=+1.33V
Electrode B:Fe3+Fe2+,E°red=0.77V
Which of the following statements is false ?
A galvanic cell is set up from electrodes A and B
Electrode A:Cr2O72Cr3+,E°red=+1.33V
Electrode B:Fe3+Fe2+,E°red=0.77V
Which of the following statements is false ?
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
Keto - enol tautomerism is observed in :
Keto - enol tautomerism is observed in :
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
In a set of reactions, ethylbenzene yield a product D.

Identify D :
In a set of reactions, ethylbenzene yield a product D.

Identify D :
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
What will be the final product in the following reaction sequence -
CH3CH2CN
H+H2O
CH3CH2COOH
(A)
NH3
Δ
CH3CH2CONH2
(B)
NaoBr
C
What will be the final product in the following reaction sequence -
CH3CH2CN
H+H2O
CH3CH2COOH
(A)
NH3
Δ
CH3CH2CONH2
(B)
NaoBr
C
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
In a set of reactions acetic acid yielded a product D.
CH3COOH
SOCl2
(A)
Benzene
AlCl3
(B)
HCN
(C)
HOH
(D)
The structure of (D) would be -
In a set of reactions acetic acid yielded a product D.
CH3COOH
SOCl2
(A)
Benzene
AlCl3
(B)
HCN
(C)
HOH
(D)
The structure of (D) would be -
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
In fructose, the possible optical isomers are
In fructose, the possible optical isomers are
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
The position of both, an electron and a helium atom is known within 1.0nm. Further the momentum of the electron is known within 5.0 ×1026kgms1. The minimum uncertainty in the measurement of the momentum of the helium atom is
The position of both, an electron and a helium atom is known within 1.0nm. Further the momentum of the electron is known within 5.0 ×1026kgms1. The minimum uncertainty in the measurement of the momentum of the helium atom is
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
The value of log10K for a reaction AB is
(Given : ΔrH°298K=54.07kJmol1,
ΔrS°298K=10JK1mol1 and R=8.314JK1 mol1;
(2.303×8.314×298=5705 )
The value of log10K for a reaction AB is
(Given : ΔrH°298K=54.07kJmol1,
ΔrS°298K=10JK1mol1 and R=8.314JK1 mol1;
(2.303×8.314×298=5705 )
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
If C(s)+O2(g)CO2(g);ΔH=R and
CO(g)+
1
2
O2
(g)
CO2(g)
;ΔH=S
,
then heat of formation of CO is:
If C(s)+O2(g)CO2(g);ΔH=R and
CO(g)+
1
2
O2
(g)
CO2(g)
;ΔH=S
,
then heat of formation of CO is:
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
Which of the following compounds does not follow Markownikoff's law ?
Which of the following compounds does not follow Markownikoff's law ?
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
PART - III (MATHEMATICS)
The value of c in Rolle's Theorem for the function f(x)=exsinx,x[0,π] is
PART - III (MATHEMATICS)
The value of c in Rolle's Theorem for the function f(x)=exsinx,x[0,π] is
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
The equations 2x+3y+4=0;3x+4y+6=0 and 4x+5y+8=0 are
The equations 2x+3y+4=0;3x+4y+6=0 and 4x+5y+8=0 are
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
The shortest distance between the lines x=y+2=6z6 and x+1=2y=12z is
The shortest distance between the lines x=y+2=6z6 and x+1=2y=12z is
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
If the tangent at P(1,1) on y2=x(2x)2 meets the curve again at Q, then Q is
If the tangent at P(1,1) on y2=x(2x)2 meets the curve again at Q, then Q is
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
If f(x)=x+
x
1+x
+
x
(1+x)2
+...
to , then at x=0,f(x)
If f(x)=x+
x
1+x
+
x
(1+x)2
+...
to , then at x=0,f(x)
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
Radius of the circle (x+5)2+(y3)2=36 is
Radius of the circle (x+5)2+(y3)2=36 is
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
If
a
=2
^
i
2
^
j
+
^
k
and
c
=
^
i
+2
^
k
then
|c|
.
a
is equal to :
If
a
=2
^
i
2
^
j
+
^
k
and
c
=
^
i
+2
^
k
then
|c|
.
a
is equal to :
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
If (4,5) is one vertex and 7xy+8=0 is one diagonal of a square, then the equation of second diagonal is
If (4,5) is one vertex and 7xy+8=0 is one diagonal of a square, then the equation of second diagonal is
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
p ⇒ q can also be written as
p ⇒ q can also be written as
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
Let
x
1
2
1x3
d
x
=
2
3
g
f
(x)
+C
, then
Let
x
1
2
1x3
d
x
=
2
3
g
f
(x)
+C
, then
Q.61 Correct
Q.61 In-correct
Q.61 Unattempt
Which one of the following is an infinite set?
Which one of the following is an infinite set?
Q.62 Correct
Q.62 In-correct
Q.62 Unattempt
The domain of the function
x25x+6+2x+8x2 is
The domain of the function
x25x+6+2x+8x2 is
Q.63 Correct
Q.63 In-correct
Q.63 Unattempt
Area bounded by the curve y=logx and the coordinate axes is
Area bounded by the curve y=logx and the coordinate axes is
Q.64 Correct
Q.64 In-correct
Q.64 Unattempt
The angle of intersection to the curve y=x2, 6y=7x3 at (1,1) is :
The angle of intersection to the curve y=x2, 6y=7x3 at (1,1) is :
Q.65 Correct
Q.65 In-correct
Q.65 Unattempt
Angle formed by the positive Y - axis and the tangent to
y=x2+4x17 at (
5
2
,
3
4
)
is
Angle formed by the positive Y - axis and the tangent to
y=x2+4x17 at (
5
2
,
3
4
)
is
Q.66 Correct
Q.66 In-correct
Q.66 Unattempt
The value of (1+i)4(1+
1
i
)
4
is
The value of (1+i)4(1+
1
i
)
4
is
Q.67 Correct
Q.67 In-correct
Q.67 Unattempt
The relation R defined on the set A={1,2,3,4,5} by R={(x,y):x2y2|<16} is given by
The relation R defined on the set A={1,2,3,4,5} by R={(x,y):x2y2|<16} is given by
Q.68 Correct
Q.68 In-correct
Q.68 Unattempt
2dx
(ex+ex)2
=
2dx
(ex+ex)2
=
Q.69 Correct
Q.69 In-correct
Q.69 Unattempt
The value of tan1(1)+tan1(0)+tan1(2)+tan1(3) is equal to
The value of tan1(1)+tan1(0)+tan1(2)+tan1(3) is equal to
Q.70 Correct
Q.70 In-correct
Q.70 Unattempt
In a culture the bacteria count is 1,00,000 . The number is increased by 10% in 2 hours. In how many hours will the count reach 2,00,000 if the rate of growth of bacteria is proportional to the number present.
In a culture the bacteria count is 1,00,000 . The number is increased by 10% in 2 hours. In how many hours will the count reach 2,00,000 if the rate of growth of bacteria is proportional to the number present.
Q.71 Correct
Q.71 In-correct
Q.71 Unattempt
What is the angle between the two straight lines
y=(23)x+5 and y=(2+3)x7?
What is the angle between the two straight lines
y=(23)x+5 and y=(2+3)x7?
Q.72 Correct
Q.72 In-correct
Q.72 Unattempt
If the angle θ between the line
x+1
1
=
y1
2
=
z2
2
and the plane 2xy+λz+4=0 is such that sintheta=
1
3
then the value of λ is
If the angle θ between the line
x+1
1
=
y1
2
=
z2
2
and the plane 2xy+λz+4=0 is such that sintheta=
1
3
then the value of λ is
Q.73 Correct
Q.73 In-correct
Q.73 Unattempt
The distance of the point (1,5,10) from the point of intersection of the line r=
^
2i
^
j
+
^
2k
+λ(
^
3i
+
^
4j
+
^
2k
)
and the plane r.(
^
i
^
j
+
^
k
)
=5
is
The distance of the point (1,5,10) from the point of intersection of the line r=
^
2i
^
j
+
^
2k
+λ(
^
3i
+
^
4j
+
^
2k
)
and the plane r.(
^
i
^
j
+
^
k
)
=5
is
Q.74 Correct
Q.74 In-correct
Q.74 Unattempt
logπ
logπ2
e2x
sec2
(
1
3
e2x
)
d
x
is equal to
logπ
logπ2
e2x
sec2
(
1
3
e2x
)
d
x
is equal to
Q.75 Correct
Q.75 In-correct
Q.75 Unattempt
If
|x+3|+x
x+2
>1
, then x
If
|x+3|+x
x+2
>1
, then x
Q.76 Correct
Q.76 In-correct
Q.76 Unattempt
Potential F.A.S.T. members can attend less than half of F.A.S.T. drills if they
Potential F.A.S.T. members can attend less than half of F.A.S.T. drills if they
Q.77 Correct
Q.77 In-correct
Q.77 Unattempt
Which of the following is the main subject of the passage?
Which of the following is the main subject of the passage?
Q.78 Correct
Q.78 In-correct
Q.78 Unattempt
Applicants must be available for training
Applicants must be available for training
Q.79 Correct
Q.79 In-correct
Q.79 Unattempt
Jatin starting from a fixed point, goes 15 m towards North and then after turning to his right, he goes 15 m. Then, he goes 10 m, 15 m and 15 m after turning to his left each time. How far is he from his starting point ?
Jatin starting from a fixed point, goes 15 m towards North and then after turning to his right, he goes 15 m. Then, he goes 10 m, 15 m and 15 m after turning to his left each time. How far is he from his starting point ?
Q.80 Correct
Q.80 In-correct
Q.80 Unattempt
Examine the following statements:
1. All members of Mohan's family are honest.
2. Some members of Mohan's family are not employed.
3. Some employed persons are not honest.
4. Some honest persons are not employed.
Which one of the following inferences can be drawn from the above statements?
Examine the following statements:
1. All members of Mohan's family are honest.
2. Some members of Mohan's family are not employed.
3. Some employed persons are not honest.
4. Some honest persons are not employed.
Which one of the following inferences can be drawn from the above statements?
Get latest Exam Updates
& Study Material Alerts!
No, Thanks
Click on Allow to receive notifications
×
Open Now