OSCILLATIONS

Assertion: Acceleration is proportional to the displacement. This condition is not sufficient for motion in simple harmonic.

Reason: In simple harmonic motion direction of displacement is also considered.

• Both assertion and reason are true and the reason is the correct explanation of the assertion.

• Both assertion and reason are true but reason is not the correct explanation of the assertion.

• Assertion is true but reason is false.

• Assertion and reason both are false.

Assertion: Sine and cosine functions are periodic functions.

Reason: Sinusoidal functions repeat it values after a definite interval of time.

• Both assertion and reason are true and the reason is the correct explanation of the assertion.

• Both assertion and reason are true but reason is not the correct explanation of the assertion.

• Assertion is true but reason is false.

• Assertion and reason both are false.

Assertion: The periodic time of a hard spring is more as compared to that of a soft spring.

Reason: The periodic time depends upon the spring constant, and spring constant is large for hard spring.

• Both assertion and reason are true and the reason is the correct explanation of the assertion.

• Both assertion and reason are true but reason is not the correct explanation of the assertion.

• Assertion is false but reason is true.

• Assertion and reason both are false.

The maximum speed of a particle executing S.H.M. is 1m/s and its maximum acceleration is 1.57m/sec^2. The time period of the particle will be:

• 1.57 sec

• 2 sec

• 4 sec

• 3.14 sec

To make the frequency double of an oscillator, we have to:

• Double the mass

• Half the mass

• Quadruple the mass

• Reduce the mass to one-fourth

The phase of a particle executing simple harmonic motion is π/2 when it has:

• Maximum velocity

• Maximum energy

• Maximum displacement

• None of these

The equation of S.H.M. is y = a sin (2πnt + α), then its phase at time t is:

• 2πnt

• α

• 2πnt+α

• 2πt

A particle is moving in a circle with uniform speed. Its motion is:

• Periodic and simple harmonic

• Periodic but not simple harmonic

• Simple harmonic

• None of these

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

• Inertia only

• Elasticity as well as inertia

• Elasticity only

• None of these

A particle is executing S.H.M. if its amplitude is 2 m and periodic time 2 seconds. Then the maximum velocity of the particle will be:

• 6π

• 4π

• 2π

• π