The velocity v of water waves may depend on their wavelength
2 density of water p and the acceleration due to gravity g. Find
relation between these quantities by the method of dimension?
Name physical quantities whose units are electron volt and pscal
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Answer:
Explanation:
Let v = k * λ^a ρ^b g^c
v = [L] [T]⁻¹ λ = [ L] ρ = density = [M] [L]⁻³ g = [ L] [T]⁻²
Hence [L][T]⁻¹ = [M]^b [L]^{a-3b+c} [T]^{-2c}
Comparing the dimensions:
b = 0. c = 1/2 => a = 1/2
So v = k √(gλ)
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