1.

Which one of the following is dimensionally incorrect ?

Answer»

Capcitance `C=[M^(-1)L^(-2)T^(4)A^(2)]`
Maagnetic field inducation `B=[ML^(0)T^(-2)A^(-1)]`
Coefficient of self - INDUCTION `L=[ML^(2)T^(-2)A^(-1)]`
Specific RESISTANCE `P=[ML^(3)T^(-3)A^(-2)]`

Solution :Here `C=(q^(2))/("work")=M^(-1)L^(-2)T^(4)A^(2)`
`B=(F)/(q.v)=ML^(0)T^(-2)A^(-2)`
`L=(EPSILON)/(di//dt)=(Wt)/(QI)=ML^(2)T^(-2)A^(-2)( :.q=It)`
`rho=(R.a)/(e)=ML^(3)T^(-3)A^(-2)`
`:.L`is wrongly represented. `(c )` is correct choice.
HENCE correct choice is `(c )`.


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