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Two pendulums A and B of length 9m and 1...

Two pendulums A and B of length 9m and 16 m, respectively are made to oscillate on the Earth's surface then the ratio of their frequency is ____

A

`3 : 4`

B

`9 : 16`

C

`16 : 9`

D

`4 : 3`

Text Solution

Verified by Experts

The correct Answer is:
D
`T prop sqrtl, (T_(A))/(sqrt(l_(A))) = (T_(B))/(sqrt(l_(b))), (T_(A))/(T_(B)) = sqrt((l_(A))/(l_(B))) = sqrt((9)/(16)) = (3)/(4)`
`T_(A): T_(B) = 3 :4` But `(T_(1))/(T_(2)) = ((1)/(n_(1)))/((1)/(n_(2))) rArr (n)/(n2) = 4 :3`
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