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Home
Motion in a Plane Test - 34
Motion in a Plane Test - 34
Result
Motion in a Plane Test - 34
/
Score
-
Rank
Time Taken:
-
Question
1/10
4 / -1
A body crosses the topmost point of a vertical circle with critical speed. Its centripetal acceleration, when the string is horizontal will be
Correct
Wrong
Skipped
A
6 g
Correct
Wrong
Skipped
B
3 g
Correct
Wrong
Skipped
C
2 g
Correct
Wrong
Skipped
D
g
Solutions
Question
2/10
4 / -1
A simple pendulum oscillates in a vertical plane. When it passes through the mean position, the tension in the string is 3 times the weight of the pendulum bob. What is the maximum displacement of the pendulum with respect to the vertical?
Correct
Wrong
Skipped
A
30
o
Correct
Wrong
Skipped
B
45
o
Correct
Wrong
Skipped
C
60
o
Correct
Wrong
Skipped
D
90
o
Solutions
Question
3/10
4 / -1
A particle is moving in a vertical circle. The tension in the string when passing through two positions at angles 30
o
and 60
o
from vertical (lowest position) are T
1
and T
2
respectively, then
Correct
Wrong
Skipped
A
T
1
= T
2
Correct
Wrong
Skipped
B
T
2
< T
1
Correct
Wrong
Skipped
C
T
1
> T
2
Correct
Wrong
Skipped
D
Tension in the string always remains the same
Solutions
Question
4/10
4 / -1
A particle is kept at rest at the top of a sphere of diameter 42 m. When disturbed slightly, it slides down. At what height \'h\' from the bottom, the particle will leave the sphere
Correct
Wrong
Skipped
A
14 m
Correct
Wrong
Skipped
B
28 m
Correct
Wrong
Skipped
C
35 m
Correct
Wrong
Skipped
D
7 m
Solutions
Question
5/10
4 / -1
The angle turned by a body undergoing circular motion depends on time as θ = θ
0
+ θ
1
t + θ
2
t
2
. Then, the angular acceleration of the body is
Correct
Wrong
Skipped
A
θ
1
Correct
Wrong
Skipped
B
θ
2
Correct
Wrong
Skipped
C
2θ
1
Correct
Wrong
Skipped
D
2θ
2
Solutions
Question
6/10
4 / -1
A small disc is on the top of a hemisphere of radius R. What is the smallest horizontal velocity v that should be given to the disc for it to leave the hemisphere and not slide down it? [There is no friction]
Correct
Wrong
Skipped
A
Correct
Wrong
Skipped
B
Correct
Wrong
Skipped
C
Correct
Wrong
Skipped
D
Question
7/10
4 / -1
A body of mass 0.4 kg is whirled in a vertical circle making 2 rev/sec. If the radius of the circle is 2 m, then tension in the string when the body is at the top of the circle, is
Correct
Wrong
Skipped
A
41.56 N
Correct
Wrong
Skipped
B
89.86 N
Correct
Wrong
Skipped
C
109.86 N
Correct
Wrong
Skipped
D
115.86 N
Solutions
Question
8/10
4 / -1
The maximum and minimum tension in the string whirling in a circle of radius 2.5 n with constant velocity are in the ratio 5:3, the its velocity is
Correct
Wrong
Skipped
A
a and d
Correct
Wrong
Skipped
B
a and c
Correct
Wrong
Skipped
C
only a
Correct
Wrong
Skipped
D
only b
Solutions
Question
9/10
4 / -1
A particle moves in a circular path with decreasing speed. Choose the correct statement
Correct
Wrong
Skipped
A
Angular momentum remains constant
Correct
Wrong
Skipped
B
Correct
Wrong
Skipped
C
Particle moves in a spiral path with decreasing
Correct
Wrong
Skipped
D
The direction of angular momentum remains constant
Question
10/10
4 / -1
A bridge is in the form of a semi circle of radius 40m. The greatest with which a motor cycle can cross the bridge without leaving the ground at the highest point is (g = 10m/s
–2
)
(frictional force is negligibly small)
Correct
Wrong
Skipped
A
40 m/s
–1
Correct
Wrong
Skipped
B
20 m/s
–1
Correct
Wrong
Skipped
C
30 m/s
–1
Correct
Wrong
Skipped
D
15 m/s
–1
Solutions
Re-attempt
-
Correct (
-
)
Wrong (
-
)
Skipped (
-
)
1
2
3
4
5
6
7
8
9
10
Re-attempt
-
Correct (
-
)
Wrong (
-
)
Skipped (
-
)
1
2
3
4
5
6
7
8
9
10
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