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6 J

18 J

24 J

36 J

Normal type of MCQ with one correct option Two particles P and Q start from the origin and execute simple harmonic motion along x-axis with the same amplitude and time periods 3 s and 6 s respectively. The ratio of the velocities of P and Q when they meet is

1:2

2:1

2:3

3:2

Normal type of MCQ with one correct option A body is executing simple harmonic motion. At a displacement x, its potential energy is E1 and at a displacement y, its potential energy is E2. The potential energy E at a displacement (x + y) is

A,B

B

B,C

A,B & D

Comprehension If a mass attached to a spring (mass less) is pulled down twice, as far, the force will be twice as much, the resulting acceleration is twice as great, the velocity it acquires in a given time is twice as great, the distance covered in a given time is twice as great, but it has to cover twice as great a distance in order to get back to the origin. In a linear equation the time pattern does not change. If there were no friction, the oscillation stays on with same amplitude. However when there exists a friction of magnitude smaller for small oscillation and larger for larger oscillation the amplitude gets dropped by the same fraction in every cycle. When the displacement from the mean position is doubled, the quantity that will vary will be:

Time period only

Velocity only

Acceleration only

Both (b) and (c).

/

Both A and R are true and R is correct explanation of A

Both A and R are true and R is not correct explanation of A

A is true, R is false

A is false, R is true

Comprehension If a mass attached to a spring (mass less) is pulled down twice, as far, the force will be twice as much, the resulting acceleration is twice as great, the velocity it acquires in a given time is twice as great, the distance covered in a given time is twice as great, but it has to cover twice as great a distance in order to get back to the origin. In a linear equation the time pattern does not change. If there were no friction, the oscillation stays on with same amplitude. However when there exists a friction of magnitude smaller for small oscillation and larger for larger oscillation the amplitude gets dropped by the same fraction in every cycle. To solve the S.H. equation with friction, one must consider each half separately since.

Friction reverses its direction in each cycle

The S.H. equation will not be linear

Friction is independent of the displacement

All of these

Comprehension If a mass attached to a spring (mass less) is pulled down twice, as far, the force will be twice as much, the resulting acceleration is twice as great, the velocity it acquires in a given time is twice as great, the distance covered in a given time is twice as great, but it has to cover twice as great a distance in order to get back to the origin. In a linear equation the time pattern does not change. If there were no friction, the oscillation stays on with same amplitude. However when there exists a friction of magnitude smaller for small oscillation and larger for larger oscillation the amplitude gets dropped by the same fraction in every cycle. In amplitude of an oscillation in a reactive to the proceeding one in a system with initial maximum amplitude A0 oscillating in a damping media, the amplitude just after n oscillations will be:

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