Experiments reveal that the velocity `v` of water waves may depend on their wavelength `lambda`, density of water `rho`, and acceleration due to gravity `g`. Establish a possible relation between `v and lambda , g, rho`.

Options

A. `upsilon^2 = k lambda^(-1) g^(-1) d^(-1)`
B. `upsilon^2 = k lambda g`
C. `upsilon^2 = k lambda dg`
D. `upsilon^2 = k lambda^3 g^(-1) d^(-1)`

Answer

(b)

Explanation

`k lambda g= L (LT^(-2)) = L^2 T^(-2) = (LT^(-1))^2 = L^2 T^(-2) = (LT^(-1))^2 = upsilon^2`