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Question

A seconds pendulum is suspended in a car that is traveling with a constant speed of 10 m/s round a circle of radius 10 m. If the pendulum undergoes small oscillations, the time period will be

A
2 s
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B
4 s
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C
less than 2 s
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D
greater than 2 s but less than 4 s
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Solution

The correct option is D less than 2 s
The time period of a second pendulum is 2 s. When it is rotated in a circle, a centripetal acceleration also acts on pendulum towards center. So, the effective acceleration due to gravity g increases to g2+a2, and we know that T1g, So the time period of the pendulum will decrease, i.e., time period will be less than 2 s.

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