JEE Main202427 Jan 2024Morning ShiftPhysicsElectromagnetic WavesActual
A plane electromagnetic wave propagating in x -direction is described by E y = 200 V m - 1 sin 1 . 5 × 10 7 t - 0 . 05 x ; The intensity of the wave is : (Use ϵ 0 = 8 . 85 × 10 - 12 C 2 N - 1 m - 2 )
Options
- A35 . 4 W m - 2
- B53 . 1 W m - 2
- C26 . 6 W m - 2
- D106 . 2 W m - 2
Correct answer
B. 53 . 1 W m - 2
Step-by-step solution
The magnitude of the electric field component of the electromagnetic wave is given by E 0 = 200 V m - 1 The formula to calculate the intensity of the electromagnetic wave is given by I = 1 2 ε 0 c E 0 2 . . . 1 From equation (1), it follows that I = 1 2 × 8 . 85 × 10 - 12 × 3 × 10 8 × 200 2 W m - 2 = 53 . 1 W m - 2