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Question

If electron charge e, electron mass m, speed of light in vacuum c and Planck's constant h are taken as fundamental constant h are taken as fundamental quantities, the permeability of vacuum μ0 can be expressed in units of
  1. (mc2he2)
  2. (hme2)
  3. (hcme2)
  4. (hce2)

A
(mc2he2)
B
(hcme2)
C
(hme2)
D
(hce2)
Solution
Verified by Toppr

The fine structure constant is defined as α=e24πϵ0c and is dimensionless where =h2π

α=e2c4πϵ0c2=e2cϵ0μ04πϵ0 where c=1ϵ0μ0

μ0=e2c

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