Question:
The quantities $x=\frac{1}{\sqrt{\mu_{0} \varepsilon_{0}}}, y=\frac{E}{B}$ and $z=\frac{1}{C R}$ are
defined where $C$-capacitance, $R$-Resistance, $l$-length, $E$-Electric field, $B$-magnetic field and $\varepsilon_{0}, \mu_{0}$, - free space permittivity and permeability respectively. Then :
Correct Option: 1
Solution:
(1) We know that
Speed of light, $c=\frac{1}{\sqrt{\mu_{0} \varepsilon_{0}}}=x$\
Also, $c=\frac{E}{B}=y$
Time constant, $\tau=R c=t$
$\therefore z=\frac{l}{R c}=\frac{l}{t}=$ Speed
Thus, $x, y, z$ will have the same dimension of speed.
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.