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The time period of a simple pendulum is ...

The time period of a simple pendulum is 1.2 s. If the length of the pendulum is doubled, the new time period will be

A

1.0s

B

1.4s

C

1.7s

D

2.4s

Text Solution

Verified by Experts

The correct Answer is:
C
`As, T = 2pi sqrt(l/g) rArr T prop sqrtl`
Now, `T_1/T_2 = sqrt(l_1/l_2)`
Then, `1.2/T_2 = sqrt(l/(2l)) rArr 1.2/T_2 = 1/sqrt2`
`rArr T_2 = 12 sqrt 2 = 1.7 s`
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