The velocity v of waves produced in water depends on their wavelength `lambda`, the density of water d, and acceleration due to gravity g. These quantities are related as (where k is a dimensionless constant)

Options

A. `v^(2)= klambda^(-1)g^(-1)d^(-1)`
B. `v^(2)= klambdag`
C. `v^(2)klambdadg`
D. `v^(2)lambda^(3g^(-1)d^(-1)`

Answer

B

Explanation

`klambdag= [L][LT^(-2)]= [L^(2)T^(-2)]= [LT^(-1)]^(2)= v^(2)`