The velocity of water waves may depend on their wavelength λ , the density of water ρ and the acceleration due to gravity g. The method of dimensional analysis gives the relation between these quantities as : (where K is a dimensionless constant)
A
B
v 2 = K λ g
C
v 2 = K λ g ρ
D
v 2 = K λ 3 g –1 ρ –1
Text Solution
Verified by ExpertsThe correct answer is:
B
∴ b = 0 a = 1/2
a – 3b + c = 1 ⇒ b = 0
– 2c = – 1 c = ½
or 
where K is constant.
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