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Which of the following units denotes the...

Which of the following units denotes the dimensions `[ML^(2)//Q^(2)]`, where Q denotes the electric charge?

A

`Wbm^(-2)`

B

Henry (H)

C

`Hm^(-2)`

D

Weber (Wb)

Text Solution

Verified by Experts

The correct Answer is:
B
As, magnetic energy
`=(1)/(2)Li^(2)=(LQ^(2))/(2t^(2))`
where, L=inductance, and
i=current
Energy has the dimensions `[ML^(2)T^(-2)]`
Equation the dimensions, we have
`[ML^(2)T^(-1)]=["henry"]xx([Q^(2)])/([T^(2)])`
`implies"henry"=([ML^(2)])/([Q^(2)])`
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