A particle executes simple harmonic oscillation with an amplitude a. The period of oscillation is T. The minimum time taken by the particle to travel half of the amplitude from the equilibrium position is:

(A)

(B)

(C)

(D)

Question-2

When a damped harmonic oscillator completes 100 oscillations, its amplitude is reduced to of its initial value. What will be its amplitude when it completes 200 oscillations ?

(A)

(B)

(C)

(D)

Question-3

The particle executing simple harmonic motion has a kinetic energy . The maximum values of the potential energy and the total energy are respectively:

(A)

0 and 2K_{0}

(B)

(C)

K_{0} and 2 K_{0}

(D)

K_{0} and K_{0 }

Question-4

A particle is subjected to two mutually perpendicular simple harmonic motions such that is x and y coordinates are given by

The path of the particle will be:

(A)

A straight line

(B)

A circle

(C)

An ellipse

(D)

A parabola

Question-5

Two points are located at a distance of 10m and 15 m from the source of oscillation. The period of oscillation is 0.005 s and the velocity of the wave is 300 m/s. What is the phase difference between the oscillations of two points?

(A)

(B)

(C)

(D)

Question-6

Two simple harmonic motions of angular frequency 100 and 1000 rad s^{-1} have the same displacement amplitude. The ratio of their maximum accelerations is:

(A)

1:10

(B)

1:10^{2}

(C)

1:10^{3}

(D)

1:10^{4}

Question-7

A system exhibiting S.H.M. must possess:

(A)

Elasticity as well as inertia

(B)

Elasticity only

(C)

Inertia only

(D)

Elasticity, inertia and external force

Question-8

A body is executing SHM. When the displacements from the mean position is 4 cm and 5 cm, the corresponding velocities are 10 cm/s and 8cm/s. Then the time period of the body will be :

(A)

(B)

(C)

(D)

Question-9

A particle, with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force F sin. If the amplitude of the particle is maximum for =_{1}, and the energy of the particle is maximum for = _{2}, then:

(A)

_{1} = _{0} and _{2}_{0}

(B)

_{1} = _{0} and _{2} = _{0}

(C)

_{1}_{0} and _{2} = _{0}

(D)

_{1}_{0} and_{2}_{0}

Question-10

A simple pendulum is executing simple harmonic motion with a time period T. If the length of the pendulum is increased by 21%, the increase in the time period is:

(A)

21%

(B)

10%

(C)

30%

(D)

50%

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