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The dimensions of (1)/(2) in(0) E^(2), w...

The dimensions of `(1)/(2) in_(0) E^(2)`, where `in_0` is permittivity of free space and E is electric field, is :-

A

`[ML^(2)T^(-2)]`

B

`[ML^(-1)T^(-2)]`

C

`[ML^(2)T^(-1)]`

D

`[MLT^(-1)]`

Text Solution

Verified by Experts

The correct Answer is:
B
Energy density of an electric field E is `u_(E)= (1)/(2)epsilon_(0)E^(2)`
Where `epsilon_(0)` is permittivity of free space
`mu_(E)= ("Energy")/("Volume")= ([ML^(2)T^(-2)])/([L^(3)])= [ML^(-1)T^(-2)]`
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