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Speed of an EM wave in a medium from its relative permittivity and permeability

This type of question, asked 5 times: 25 Jun 2022, 31 Jan 2023, 6 Apr 2024, 4 Apr 2025, 23 Jan 2026 S2. All 5 questions below, oldest first.

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  1. Question 1

    25 Jun 2022

    103
    The electromagnetic waves travel in a medium at a speed of 2.0×108 m/s2.0 \times10^{8}\text{ }m/s. The relative permeability of the medium is 1.0. The relative permittivity of the medium will be:

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  2. Question 2

    31 Jan 2023

    21
    In a medium the speed of light wave decreases to 0.2 times to its speed in free space The ratio of relative permittivity to the refractive index of the medium is x:1x:1. The value of xx is (Given speed of light in free space =3×108 m s−1= 3 \times10^{8}\text{ }m{\text{ }s}^{- 1} and for the given medium μr=1\mu_{r}= 1 )

  3. Question 3

    6 Apr 2024

    5
    Electromagnetic waves travel in a medium with speed of 1.5×108 ms−11.5 \times10^{8}{\text{ }ms}^{- 1}. The relative permeability of the medium is 2.0. The relative permittivity will be:

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  4. Question 4

    4 Apr 2025

    98
    If an optical medium possesses a relative permeability of 10π\frac{10}{\pi} and relative permittivity of 10.0885\frac{1}{0.0885}, then the velocity of light is greater in vacuum than that in this medium by ____\_\_\_\_ times. (μ0=4π×10−7H/m,ϵ0=8.85×10−12 F/m)\left( \mu_{0} = 4\pi \times 10^{- 7}H/m,\epsilon_{0} = 8.85 \times 10^{- 12}\text{ }F/m \right), c=3×108 m/sc = 3 \times 10^{8}\text{ }m/s ).

  5. Question 5

    23 Jan 2026 S2

    18
    The ratio of speeds of electromagnetic waves in vacuum and a medium, having dielectric constant k=3k = 3 and permeability of μ=2μ0\mu = 2\mu_{0}, is ( μ0=\mu_{0}= permeability of vacuum)

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