devarshi-dt-logo

Question:

Which of the following combinations has the dimension of electrical resistance (ε₀ is the permittivity of vacuum and μ₀ is the permeability of vacuum)?

μ₀ε₀

μ₀ε₀

ε₀μ₀

ε₀μ₀

Solution:

Correct option is C. μ₀ε₀
[ε₀]=M⁻¹L⁻³T⁴A²
[μ₀]=MLT⁻²A⁻²
[R]=ML²T⁻³A⁻²
[R]=[μ₀ε₀]