Question

Assertion: the quantity `(1//sqrt(mu_(0) epsilon_(0)))` is dimensionally equal to velocity and numerical equal to velocity of light.
Reason : `mu_(0)` is permeability of free space and `epsilon_(0)` is the permitivity of free space.
A. If both assertion and reason are true and reason is the correct explation of assertion.
B. If both assertion but reason is not the correct explanation of assertion.
C. If assertion is true but reason is false.
D. If both assertion and reason are false.

Answer 1

Correct Answer - b
Both assertion 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 E_(0)) = sqrt((9 xx 10^(9))/(10^(-2))) = sqrt(9 xx 10^(16)`
`= 3 xx 10^(8) m//s`
therefore `(1)/(sqrt(mu_(0) epsilon_(0))` has dimension of velocity and numerical equal to velocity of light.