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Q.

Which of the following does not have the dimensions of velocity? (Given ε0 is the permittivity of free space, μ0 is the permittivity of free space, v is frequency, λ is wavelength, P is the pressure, and ρ is density, k is wave number, ω is the angular frequency) 

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a

ωk

b

νλ

c

1ε0μ0

d

Pρ

answer is A.

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Detailed Solution

Here ω×k=T1L1, which are not the dimensions of velocity.

All others have got the dimensions of velocity. 

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