`A` quantity` X` is given by `epsilon_(p) L(delta V)/(delta t)` , where `epsilon_(p)` is the permitivity of free space ,L is a length , `delta V` is a potential diffrence and ` deltat ` is a time interval . The dimensional formula for `X` is the seme as that of

Options

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

Answer

D

Explanation

`C = (Delta q)/(Delta V) = (epsilon_(0)A)/(d)`
or ` epsilon_(0) = (A)/(L) = (Delta q)/(DeltaV) `
or ` epsilon_(0) = ((Delta q) L)/(A(Delta V))`
` X = epsilon_(0) L (Delta V)/(Delta t)`
` = ((Delta q)L)/(A(DeltaV)) L (Delta V)/(Delta t) `
but ` [A] = [L^(2)]`
:.` X = (Delta q)/(Delta t) = current`