If the mass attached to a spring-mass system is quadrupled (increased by 4 times), its time period of oscillation becomes:
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Question

If the mass attached to a spring-mass system is quadrupled (increased by 4 times), its time period of oscillation becomes:

Accepted Answer

The time period of a spring-mass system is $T = 2\pi \sqrt{\frac{m}{k}}$. If mass becomes $4m$, then $T' = 2\pi \sqrt{\frac{4m}{k}} = 2 T$. Thus, time period is doubled.

Oscillations

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