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The velocity of water waves v may depend upon their wavelength λ the density of water ρ and the acceleration due to gravity g. The method of dimensions gives the relation between these quantities as
Options:
A .  v2 rg
B .  v2∝gλρ
C .  v2∝ g λ
D .  v2∝g−1λ−3
Answer: Option C
:
C
Letvx=kgyλzρδ
Now by substituting the dimensions of each quantities and equating the powers of M,L and T, we get δ = 0 and x = 2,y = 1,z = 1.

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