Consider three quantities (`x= E/B, y= (sqrt(1/((mu_0)(epsilon_0)))) and z=(l/(CR))`. Here, `l` is the length of a wire, C is a capacitance and R is a resistance. All other symbols have standard meanings.

Options

A. x,y have the same dimensions
B. x,z have the same dimensions
C. y,z have the dimensions
D. all of the three pairs have the same dimensions.

Answer

D

Explanation

`x=(lxx"potential")/("current"xx"time"xx"resistance")=(lxxI)/(Ixxt)=` Velocity or `X=E/B=(MLT^(-3)A^(-1))/(MT^(-2)A^(-1))`