The velocity of water waves v may depend on their wavelength λ the density of water p and the acceleration due to gravity ‘g’, the method of dimensions gives the relation between quantities as _______
A. v² ∝ λ gρ
B. γl = \(\frac{p}{2 \ell} \sqrt{\frac{T}{m}} \rho^{-1}\)
C. v² ∝ g λ
D. v² ∝ ρ λ
Answer:C
The velocity of water waves v may depend on their wavelength λ the density of water p and the acceleration due to gravity ‘g’, the method of dimensions gives the relation between quantities as _______
A. v² ∝ λ gρ B. γl = \(\frac{p}{2 \ell} \sqrt{\frac{T}{m}} \rho^{-1}\) C. v² ∝ g λ D. v² ∝ ρ λ