JEE MainPhysicsElectromagnetic Waves
A plane electromagnetic wave is propagating through a transparent dielectric medium. The electric field is given by E = 400 (kx - t) V/m. If the amplitude of the corresponding magnetic field is 2 10⁻⁶ T, the refractive index of the medium is (Take the speed of light in vacuum as c = 3 10^8 m/s)
Options
- A0.67
- B1.5
- C1.0
- D2.0
Correct answer
B. 1.5
Step-by-step solution
Given, amplitude of electric field, E₀ = 400 V/m Amplitude of magnetic field, B₀ = 2 10⁻⁶ T The speed of the electromagnetic wave in the medium is given by v = E₀ B₀ = 400 2 10⁻⁶ = 2 10^8 m/s The refractive index of the medium is n = c v = 3 10^8 2 10^8 = 1.5 Answer: 1.5