A seconds pendulum is suspended in a car that is traveling with a constant speed of 10m/s round a circle of radius 10m. If the pendulum undergoes small oscillations, the time period will be
A
2s
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B
4s
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C
less than 2s
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D
greater than 2s but less than 4s
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Solution
The correct option is D less than 2s The time period of a second pendulum is 2s. 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 T∝1√g′, So the time period of the pendulum will decrease, i.e., time period will be less than 2 s.