Question

Which of the following do not have the same dimensional
formula as the velocity?
Given that μ₀ = permeability of free space, ℰ₀ = permittivity
of free space, ν = frequency, λ = wavelength, P = pressure, ⍴
= density, ⍵ = angular frequency, k = wave number,
(a) √μ₀ ℰ₀ (b) vλ
(c) √P/⍴ (d) ⍵k

Answer 1

Answer:

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Explanation:

Other than option D which has the dimension [ωk]=

T

1

×

L

1

=[L

−1

T

−1

], the dimensions of the quantities in option A,B,C are of velocity =[LT

−1

]

Hence, ωk do not have the same dimensional formula as the velocity.