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The velocity of water waves may depend o...

The velocity of water waves may depend on their wavelength `lamda`, the density of warter `rho` and the acceleration due to gravity `g`. The method of dimensions gives the relations between these quantities as
where `k` is a dimensionless constant

A

`v^(2)=klamda^(-1)d^(-1)`

B

`v^(2)=k lamdag`

C

`v^(2)=k lamda dg`

D

`v^(2)=k lamda^(3)g^(-1)d^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
`K lamdag=L(LT^(-2))=L^(2)T^(-2)=(LT^(-1))^(2)=v^(2)`
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