Question

Consider three quantities `x=E/B, y=sqrt(1/(mu_(0)epsilon_(0)))` and `z=1/(RC)`, Here, `l`is the length of a wire, `C` is capacitance and `R` is a resistance. All other symbols have standard meanings.
A. `x,y` have the same dimensions
B. `y,z` have the same dimensions
C. `z,x` have the same dimensions
D. `x,y` and `z`have the same dimensions

Answer 1

Correct Answer - A
`x=E/B:(N//C)/(N//A.M)=(A.m)/(A.s)=m/s`
`y=sqrt(1/(mu_(0)epsilon_(0))):sqrt(1/(N/(A^(2)).(C^(2))/(N.m^(2))))=(A.m)/(A.s)=m/s`
`z=1/(RC)=m/s`
`x`, and `y` and `z` have same dimensions