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The ratio of frequencies of two pendulum...

The ratio of frequencies of two pendulums are 2 : 3, then their length are in ratio

A

`sqrt((2)/(3))`

B

`sqrt((3)/(2))`

C

`(4)/(9)`

D

`(9)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
(d) Frequency , `nprop (1)/(sqrt(l))`
`implies (n_(1))/(n_(2))=sqrt((l_(2))/(l_(1)))implies (l_(2))/(l_(1))=(n_(1)^(2))/(n_(2)^(2))implies (l_(2))/(l_(1))=((2)^(2))/((3)^(2))`
`(l_(2))/(l_(1))=(4)/(9)implies(l_(1))/(l_(2))=(9)/(4)`
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