Electromagnetic waves travel in a medium with speed of 1.5 × 10⁸ m s⁻¹. The relative permeability of the medium is 2.0. The relative permittivity will be: (a) 4 (b) 1 (c) 2 (d) 5

Answer: (c). v = (c)/(√(μrεr)) ⇒ μrεr = (c/v)² = (3 × 10⁸1.5 × 10⁸)² = 4. εr = 4/2.0 = 2. So the answer is (c) 2.

Electromagnetic waves travel in a medium with speed of 1.5 × 10⁸ m… | JEE Main 2024 (6 Apr, Shift 1)

Q6JEE Main 2024 · 6 APR · SHIFT 1Easy

Speed of EM Waves in a Medium

Electromagnetic waves travel in a medium with speed of $1.5 \times 10^{8}\text{ m s}^{-1}$ . The relative permeability of the medium is 2.0. The relative permittivity will be:

Show answer and solution

Answer: (c)

$v = \dfrac{c}{\sqrt{\mu_r\varepsilon_r}} \Rightarrow \mu_r\varepsilon_r = \left(\dfrac{c}{v}\right)^2 = \left(\dfrac{3 \times 10^{8}}{1.5 \times 10^{8}}\right)^2 = 4$ .
$\varepsilon_r = \dfrac{4}{2.0} = 2$ .
So the answer is (c) 2.

Report a mistake

More questions on Speed of EM Waves in a Medium

If the ratio of relative permeability and relative permittivity of a uniform medium is 1…NEET 2024
Which of the following are true? A. Speed of light in vacuum is dependent on the…JEE Main 2023 (29 Jan, Shift 1)
In a medium the speed of light wave decreases to 0.2 times to its speed in free space…JEE Main 2023 (31 Jan, Shift 1)
An electromagnetic wave, whose wave normal makes an angle of 45° with the vertical…MHT CET 2023 (11 May, Shift 2)
When light propagates through a material medium of relative permittivity ε r and relative…NEET 2022 (Phase 1)
Given below are two statements: Statement I: A time varying electric field is a source of…JEE Main 2022 (27 Jun, Shift 2)
The electromagnetic waves travel in a medium at a speed of 2.0 × 108 m/s. The relative…JEE Main 2022 (25 Jun, Shift 2)
A radar sends an electromagnetic signal of electric field (E0) = 2.25 V/m and magnetic…JEE Main 2022 (28 Jun, Shift 1)

Speed of EM Waves in a Medium question from JEE Main 2024 (6 Apr, Shift 1)

More questions on Speed of EM Waves in a Medium