A plane electromagnetic wave having a frequency v = 23.9 GHz… | JEE Main 2019 (12 Apr, Shift 2)

Q65JEE Main 2019 · 12 APR · SHIFT 2Medium

Nature of EM Waves & Wave Equation

A plane electromagnetic wave having a frequency v = 23.9 GHz propagates along the positive z- direction in free space. The peak value of the Electric Field is 60 V/m. Which among the following is the acceptable magnetic field component in the electromagnetic wave?

Show answer and solution

Answer: (d)

$\omega = 2\pi\times23.9\times10^{9} \approx 1.5\times10^{11}$ rad/s, $k = \omega/c = 0.5\times10^{3}$ m $^{-1}$ .
$B_0 = \dfrac{60}{3\times10^{8}} = 2\times10^{-7}$ T.
Travel along $+z$ needs phase $(kz - \omega t)$ and $\vec B\perp\hat z$ ; $\hat i$ is fine.
So the answer is (d) $2\times10^{-7}\sin(0.5\times10^{3}z - 1.5\times10^{11}t)\hat i$ .

Report a mistake

More questions on Nature of EM Waves & Wave Equation

The electric field of a plane electromagnetic wave is given by E = E₀ i cos (kz) cos (ω…JEE Main 2019 (10 Apr, Shift 1)
The magnetic field of an electromagnetic wave is given by:- B = 1.6 × 10⁻⁶ cos (2 × 10⁷ z…JEE Main 2019 (8 Apr, Shift 2)
The electric field of a plane polarized electromagnetic wave in free space at time t = 0…JEE Main 2019 (10 Jan, Shift 2)
The magnetic field of a plane electromagnetic wave is given by: B = B₀ i [cos (kz - ω t)]…JEE Main 2019 (9 Apr, Shift 1)
An EM wave is propagating in a medium with a velocity v = vi. The instantaneous…NEET 2018
A plane electromagnetic wave of wavelength λ has an intensity I. It is propagatting along…JEE Main 2018 (16 Apr, Shift 1)
A monochromatic beam of light has a frequency ν = 3/2π × 10¹² Hz and is propagating along…JEE Main 2018 (15 Apr, Shift 1)
A plane polarized monochromatic EM wave is traveling in vacuum along z direction such…JEE Main 2018 (15 Apr, Shift 2)

Nature of EM Waves & Wave Equation question from JEE Main 2019 (12 Apr, Shift 2)

More questions on Nature of EM Waves & Wave Equation