Oscillations Test

Result

Oscillations Test - 20

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Weekly Quiz Competition

Question 1
4 / -1

Two pendulum of lengths 1m and 1.21 m respectively start swinging together with same amplitude. The number of vibrations that will be executed by the longer pendulum before the two will swing together again are

A
9

B
10

C
11

D
12

Solution
Question 2
4 / -1

A system consists of two cubes of masses m₁ and m₂ respectively connected by a spring of force constant k. The force (F) that should be applied to the upper cube for which the lower one just lifts after the force is removed is

A

B

C

D

Solution
Question 3
4 / -1

A weightless rigid rod with a small ball, at the end is hinged at point A to the wall so that it can rotate in all directions. The rod is kept in the horizontal position by a vertical inextensible thread of length l, fixed at its mid – point. The ball receives a momentum in the direction perpendicular to the plane of the Fig. The period of small oscillations of the system is

A

B

C

D

Solution
Question 4
4 / -1

A solid cylinder of mass M, radius R is attached to a horizontal mass less spring of spring constant k, so that it can roll without slipping along a horizontal surface. If the cylinder is slightly displaced and released, the time period of the SHM it executes is

A

B

C

D
Question 5
4 / -1

A person standing in a stationary lift measures the periodic time of a simple pendulum inside the lift to be equal to T. Now, if the lift moves along the vertically upward direction with an acceleration of g/3, then the periodic time of the lift will now be .........

A

B

C

D

Solution
Question 6
4 / -1

If the equation for displacement of two particles executing S.H.M. is given by y₁ = 2Sin(10t + è) and y₂ = 3Cos10t respectively, then the phase difference between the velocity of two particles will be ...........

A
– è

B
è

C

D

Solution
Question 7
4 / -1

When a body having mass m is suspended from the free end of two springs suspended from a rigid support, as shown in figure, its periodic time of oscillation is T. If only one of the two springs are used, then the periodic time would be .........

A

B

C

D
2T

Solution
Question 8
4 / -1

If the maximum velocity of two springs ( both has same mass ) executing S.H.M. and having force constants k₁ and k₂ respectively are same, then the ratio of their amplitudes will be ..........

A

B

C

D

Solution
Question 9
4 / -1

The bob of a simple pendulum having length ‘l’ is displaced from its equilibrium position by an angle of è and released. If the velocity of the bob, while passing through its equilibrium position is v, then v = ...........

A

B

C

D

Solution
Question 10
4 / -1

When an elastic spring is given a displacement of 10mm, it gains an potential energy equal to U. If this spring is given an additional displacement of 10 mm, then its potential energy will be ........

A
U

B
2U

C
4U

D
U/4

Solution