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Assertion: the quantity (1//sqrt(mu(0) e...

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.

Text Solution

Verified by Experts

The correct Answer is:
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.
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