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The velocity of water wave v may depend ...

The velocity of water wave `v` may depend on their wavelength `lambda`, the density of water `rho` and the acceleration due to gravity `g`. The method of dimensions gives the relation between these quantities as

A

`V^(2) prop g^(-1) gamma^(-1)`

B

`V^(2) prop g lambda`

C

`V^(2) prop g lambda rho`

D

`V^(2) prop g^(-1) lambda^(-3)`

Text Solution

Verified by Experts

The correct Answer is:
b

See question 38 above.
`v prop sqrt(g lambda)rArr v^(2) prop g lambda`
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