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If lambda1, lambda2 and lambda3 are the ...

If `lambda_1, lambda_2 and lambda_3` are the wavelength of the waves giving resonance to the fundamental, first and second overtone modes respectively in a string fixed at both ends. The ratio of the wavelengths `lambda_1:lambda_2:lambda_3` is

A

`1:2:3`

B

`1:3:5`

C

`1:1/2:1/3`

D

`1:1/3:1/5`

Text Solution

Verified by Experts

The correct Answer is:
C
`f_(1): f_(2): f_(3) = 1:2:3`
`lambda = v/f` or `lambda prop 1/f `
`:. lambda_(1):lambda_(2):lambda_(3) = 1:1/2:1/3`.
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