Two oscillating systems; a simple pendulum and a vertical spring-mass-system have same time period o

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13.Oscillations

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Two oscillating systems; a simple pendulum and a vertical spring-mass-system have same time period of motion on the surface of the Earth. If both are taken to the moon, then-

A

Time period of the simple pendulum will be more than that of the spring-mass system.

B

Time period of the simple pendulum will be equal is that is of the spring-mass system.

C

Time period of the simple pendulum will be less than of the spring-mass system.

D

Nothing can be said definitely without observation.

Solution

(a)

For simple pendulum: $T =2 \pi \sqrt{\frac{\ell}{ g }}$ As g will decrease on moon, time period will increase

For spring mass system : $T=2 \pi \sqrt{\frac{m}{k}}$

It will not change and remains the same

Standard 11

Physics

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