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What is the dimensional formula of (1)/(...

What is the dimensional formula of `(1)/(mu_(0)epsilon_(0))` where the symbols have their usual meanings?

A

`[M^(0)L^(2)T^(2)]`

B

`[M^(0)L^(2)T^(-2)]`

C

`[M^(0)L^(-1)T^(2)]`

D

`[M^(0)L^(1)T^(-1)]`

Text Solution

Verified by Experts

The correct Answer is:
b
The velocity of light `C=(1)/(sqrt(mu_(0)epsilon_(0))) therefore C^(2)=(1)/(mu_(0)epsilon_(0))`
`therefore` The dimensions of `(1)/(mu_(0)epsilon_(0))` are the same as that of `C^(2)`. `[C^(2)]=[(L)/(T)]^(2)=[M^(0)L^(2)T^(-2)]`
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