An object with a mass M is suspended from an elastic spring with a spring constant k. The object oscillates with period T. If the mass of oscillations is quadrupled, how it will change the period of oscillations?

The period is increased by factor two

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The period is increased by factor four

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The period is decreased by factor two

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The period remains the same

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Solution

The correct option is A The period is increased by factor two
The time period of oscillations is given by the formula $T = 2 π \sqrt{(} \frac{M}{K})$
If the mass is quadrupled (i.e 4M), then time period becomes doubled

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