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

A body which executes simple harmonic motion has its period being

independent of its amplitude and inversely proportional to its acceleration.

The formula for the period of a simple harmonic motion is given below

T= 2π√l/g

where T is period, l is the length of the pendulum and g is acceleration due to gravity.

The formula shows that the period is inversely proportional to the

acceleration. It also shows the period is independent of the amplitude as it's

not included in the formula used to determine the period.

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