Question

Assertion : The quantities `(1sqrt(mu_(0) epsilon_(0)))` is dimensionally equal to velocity and numericallyy equal of light.
Reason : `mu_(0)` is permeability of free space and `epsilon_(0)` is the permittivity of free space.
A. If both the asseration and reason are true and reason is a true explanation of the asseration.
B. If both the asseration and reason are true but the reason is not the correct explanation of asseration.
C. If the asseration is ture but reason is false.
D. If both the asseration and reason are false.

Answer 1

Correct Answer - b
Both asertion and reason are true but reason is not the correct explanation of assertion
`[epsilon_(0)] = [M^(-1) L^(-3)T^(4)I^(2)] , [mu_(0)] = [MLT^(-2)I^(-2)]`
`rArr (1)/(sqrt((mu_(0)// 4 pi ) xx 4 pi epsilon_(0)))= sqrt(( 9 xx 10^(9))/(10^(-7))`
`= sqrt(9 xx 10^(16))`
`= 3 xx 10^(8)m//s`
Therefore `(1)/(sqrt(mu_(0)epsi_(0)))` has dimension of velocity and numerically equal of light.