If C is capacitance, Vis potential, `rho` is specific resistance and `epsilon_(0)` is permittivity of free space, then the dimensions of `(CV)/(rhoepsilon_(0))` are same as that of

Options

A. charge
B. current
C. time
D. frequency

Answer

B

Explanation

`[C]= [M^(-1)L^(-2)T^(4)A^(2)], [V]= [ML^(2)T^(-3)A^(-1)]`
`[rho]= [ML^(3)T^(-3)A^(-2)], [epsilon_(0)]= [M^(-1)L^(-3)T^(4)A^(2)]`
`:. [(CV)/(rhoepsilon_(0))]= ([C][V])/([rho][epsilon_(0)])= ([M^(-1)L^(-2)T^(4)A^(2)][ML^(2)T^(-3)A^(-1)])/([ML^(3)T^(-3)A^(-2)][M^(-1)L^(-3)T^(4)A^(2)])= ([AT])/([T])= [A]= ["Current"]`