JEE Main202225 Jun 2022Evening ShiftPhysicsElectromagnetic WavesActual
The electromagnetic waves travel in a medium at a speed of 2 . 0 × 10 8 m s - 1 . The relative permeability of the medium is 1 . 0 . The relative permittivity of the medium will be
Options
- A2 . 25
- B4 . 25
- C6 . 25
- D8 . 25
Correct answer
A. 2 . 25
Step-by-step solution
Here, v = 2 × 10 8   m   s − 1 and μ r = 1 The speed of electromagnetic waves in a medium is given by v = 1 μ ε     . .. i where μ and ε are absolute permeability and absolute permittivity of the medium. Now, μ = μ 0 μ r and ε = ε 0 ε r Then, we have, v = 1 μ 0 μ r × ε 0 ε r = 1 μ 0 ε 0 × 1 μ r ε r = c μ r ε r o r ε r = c 2 v 2 μ r = 3 × 10 8 2 2 × 1