Which of the following combinations has the dimension of electrical resistance ( ϵ 0 is the…

Which of the following combinations has the dimension of electrical resistance (ϵ0 is the permittivity of vacuum and μ0 is the permeability of vacuum)?
  1. ϵ0μ0
  2. ϵ0μ0
  3. μ0ϵ0
  4. μ0ϵ0

Solution

Resistance=VoltAmpere=ML2T-3A-1A=ML2T-3A-2
We know, μ0=MLT-2A-2    ε0=M-1L-3T4A2
Hence,
μ0ε0=μ0ε0=MLT-2A-2M-1L-3T4A21/2
=M2L4T-6A-41/2=ML2T-3A-2

Asked in: JEE Main 2019 (12 Apr Shift 1)

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