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A quantity x is defined by the equation ...

A quantity `x` is defined by the equation `x=3C^(2)B^(2),` where `C` is capacitance in farads and `B` is magnetic field in tesla, the dimension of `x` are :

A

`ML^(-2)`

B

`ML^(-2)T^(-2)A`

C

`L^(-4)T^(4)A^(2)`

D

`L^(-1)A^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A

Here `x=C^(2)B^(2)=(q^(2))/(W)xx(F^(2))/(q^(2)v^(2))`
`x=(M^(2)L^(2)T^(-4))/(ML^(2)T^(-2)L^(2)T^(-2))=ML^(-2)`
Hence correct choice is `(a)`.
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