1.

Which of the following units denotes the dimension M^1 L^2 Q^(-2) ? (where Q denotes the electric charge)

Answer»

`H/m^2`
WB
`(Wb)/m^2`
H(Henry)

SOLUTION :Energy stored in inductor ,
`U=1/2LI^2`
`therefore L=(2U)/I^2`
`therefore` Dimension of L=`"Dimension of U"/("Dimension of" I^2)`
`=(M^1L^2T^(-2))/(Q^1T^(-1))^2`
`=(M^1L^2 T^(-2))/(Q^2T^(-2))`
`=M^1 L^2 Q^(-2) =H`


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