1.

A quantity X is given by epsilon_(0)L(DeltaV)/(Deltat)where epsilon_(0) is the permittivity of free space, L is a length, DeltaV is a potential difference and Deltat is a time interval. The dimensional formula for X is the same as that of

Answer»

resistance
charge
voltage
CURRENT

Solution :As `C= (Deltaq)/(DELTAV)` or `epsilon_(0)(A)/(L)= (Deltaq)/(DeltaV)( :.C= (epsilon_(0)A)/(L))`
or `epsilon_(0)= ((Deltaq)L)/(A(DeltaV))`
`:. X= epsilon_(0)L((DeltaV))/(Deltat)= ((Deltaq)L)/(A(DeltaV))L((DeltaV))/(Deltat)` (using (i))
but `[A]= [L]^(2)`
`:. X= (Deltaq)/(Deltat)= "current"`


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