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In SI units, the dimensions of sqrt((eps...

In `SI` units, the dimensions of `sqrt((epsilon_(0))/(mu_(0))` is:

A

`AT^(-3)ML^(3//2)`

B

`A^(-1)TML^3`

C

`AT^2M^-1L^-1`

D

`A^2T^3M^-1L^-2`

Text Solution

Verified by Experts

The correct Answer is:
D
We know `c=1/sqrt(mu_0epsilon_0)impliescin_0=sqrt((in_0)/(mu_0))`
`F=1/(4piin_0)(q_1q_2)/(r^2)" "[in_0]=([q_1q_2])/([f][r^2])=([A^2T^2])/[MLT^(-2)[L^2])=[M^-1L^-3T^4A^2]`
`:.[cin_0]=[LT^-1][M^-1L^-3T^4A^2]=[M^-1L^-2T^3A^2]`
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