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What is the length of a simple pendulum ...

What is the length of a simple pendulum which ticks second?

A

0.5 m

B

1 m

C

1.5 m

D

2 m

Text Solution

Verified by Experts

The correct Answer is:
B

The time period of a simple pendulum is
`T=2pisqrt((L)/(g))`
where L is length of the pendulum
or `L=(gT^(2))/(4pi^(2))` . . . (i)
the time period of the simple pendulum which ticks seconds is 2 s.
`thereforeT=2s`
Substitution in (i), we get
`L=((9.8ms^(-2))(2s)^(2))/(4xx(3.14)^(2))=1m`
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