Question

When a body executes simple harmonic motion, its period is 1. the reciprocal of its speed. 2. proportional to its amplitude. 3. inversely proportional to its acceleration. 4. proportional to its acceleration. 5. independent of its amplitude.

Answer 1

Answer:

5. independent of its amplitude.

3. inversely proportional to its acceleration

Explanation:

The time period of oscillation is mathematically given as:

$T=2\pi\sqrt{\frac{l}{g} }$

where:

$l=$ length of the string through which the body oscillates.

$g=$ acceleration due to gravity.

So, we can observe that it is independent of amplitude and depends on acceleration due to gravity and the length of the oscillating string.

Answer 2

Answer:

Explanation:

The time period of the simple pendulum executing simple harmonic motion is given by

$T=2\pi \sqrt{\frac{L}{g}}$

So, option 5 is true, that it is independent of the amplitude.