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Time Period Independent of Amplitude

Question

The time period of simple harmonic motion depends upon the
amplitude.
energy
phase constant
mass

A

amplitude.

B

energy

C

phase constant

D

mass

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Solution

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The time period of simple harmonic motion depends upon the mass.
For example:- Simple pendulum,
The time period of the simple pendulum is given by
$T = 2 π \sqrt{\frac{m}{k}}$ . . . .. . . .(1)
From the above equation we can conclude that,
1) $T \propto \sqrt{m}$ (mass of the particle)
2) $T \propto \frac{1}{\sqrt{k}}$ $(k = f o r c e c o n s t a n t)$
The correct option is D.

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