A simple pendulum of length 25 cm has a time period of 1 s and another pendulum of length 100cm has a time period of 2s. The time period of a simple pendulum of length 125 cm will be
A. 3 s
B. 2.5 s
C. `sqrt(5) s`
D. `sqrt(7) s`

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1 Answers

Correct Answer - C
`(T_(2))/(T_(1))=sqrt((l_(2))/(l_(1)))=sqrt((125)/(25))=sqrt(5)`
`T_(2)=T_(1)sqrt(5)=1xxsqrt(5)=sqrt(5)`

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