A plane electromagnetic wave having a frequency propagates along the positive…

PHYSICS · Single correct · CBSE · Physics · Electromagnetic Waves · Electromagnetic Waves

Problem

A plane electromagnetic wave having a frequency

\nu = 23.9 \text{ GHz}

propagates along the positive

z

-direction in free space. The peak value of the Electric Field is

60 \text{ V/m}

. Which among the following is the acceptable magnetic field component in the electromagnetic wave? (1)

\vec{B} = 2 \times 10^{-7} \sin(0.5 \times 10^3 z + 1.5 \times 10^{11} t) \hat{i}

(2)

\vec{B} = 2 \times 10^{-7} \sin(0.5 \times 10^3 z - 1.5 \times 10^{11} t) \hat{i}

(3)

\vec{B} = 60 \sin(0.5 \times 10^3 x + 1.5 \times 10^{11} t) \hat{k}

(4)

\vec{B} = 2 \times 10^{-7} \sin(1.5 \times 10^2 x + 0.5 \times 10^{11} t) \hat{j}