1.

Which is the dimensional formula for conductance from the given below ?

Answer»

`M^(1) L^(2) T^(-3) A^(-2)`
`M^(-1) L^(-2) T^(3) A^(2)`
`M^(1) L^(3) T^(-3) A^(-2)`
`M^(-1) L^(-3) T^(3) A^(2)`

SOLUTION :`M^(-1) L^(-2) T^(3) A^(2)`
CONDUCTANCE = `(1)/(R)`
`= (1)/(V) = (QI)/(J) = (I^(2) t)/(J)`
`therefore |G| = ([J^(2) ] [t])/([J]) = (A^(2) T^(1))/(M^(1) L^(2) T^(-2))`
` = M^(-1) L^(-2) T^(3) A^(2)`


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