Question

JEE MAINS PHYSICS QUESTION SEPTEMBER 2020

Answer 1

Given that $x=\frac{1}{\sqrt{\epsilon_0\mu_0}}$ , $y=\frac{E}{B}$ and $Z=\frac{1}{RC}$. which of the following in correct.

1. dimension of x and z will be same
2. dimension of y and z will be same
3. dimension of x and y will be same
4. dimension of x , y and z is different.

solution : we know, $c=\frac{1}{\sqrt{\epsilon_0\mu_0}}$

c is velocity of light, $\epsilon_0$ is permittivity of medium and $\mu_0$ is permeability of medium.

also, c = E/B

where B is magnetic field and E is electric field

and 1/T = 1/RC

where T is time period, R is resistance of resistor and C is capacitance of capacitor.

here we see only dimensions of x and y are same.

Therefore the correct option is (3).