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How is the time period of a simple pendu...

How is the time period of a simple pendulum affected, if at all, in the following situation
the length is made four times.

Text Solution

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Time period (T) `prop` square root of Length of the pendulum (l)
`T prop sqrt1`
`therefore T_1/T_2=sqrtl_1/sqrtl_2`
Length is quadrupled,
So, `l_2=4l_1`
`T_1/T_2=sqrtl_1/sqrt(4l_1)`
`T_1/T_2=sqrt1/sqrt4`
`therefore T_2=2T_1`
The time period will be doubled.
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