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

Options

A. resistance
B. charge
C. voltage
D. current

Answer

D

Explanation

`"Dimensionally "epsilon_(0)L=C" where C "="capacitance"`
Now the given expression reduces to `C DeltaV//Deltat`
Dimensionally `CDeltaV=q` where q is charge.
Again the given expression reduces to `q//Deltat`.
Dimensionally `(q)/(Deltat)=I` where I is current