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Q.

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

v2λg-1ρ-1

 

b

v2gλ

c

v2λgρ

d

v2g-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

 

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