The velocity of water waves may depend on their wavelength l, the density of water r and the acceleration due to gravity g. The method of dimensions gives the relation between these quantities as
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a
v2∞λg-1ρ-1
b
v2∞gλ
c
v2∞λgρ
d
v2∞g-1λ2
answer is B.
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Detailed Solution
LT-1=LxML-3yLT-2z solving we get x=12,y=0 and z=12 v=gλ