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The dimensions of (mu(0)epsilon(0))^(-1/...

The dimensions of `(mu_(0)epsilon_(0))^(-1//2)` are

A

`[L^(1//2)T^(-1//2)]`

B

`[L^(-1)T]`

C

`[LT^(-1)]`

D

`[L^(-1//2)T^(-1//2)]`

Text Solution

Verified by Experts

The correct Answer is:
C

Speed of light `c= (1)/(sqrt(mu_(0)epsilon_(0)))`
Where `mu_(0)` and `epsilon_(0)` are the permeability and permittivity of free space.
`:. [mu_(0)epsilon_(0)^(-1//2)]= [c]= [LT^(-1)]`
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