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Question: Answered & Verified by Expert

A plane electromagnetic wave propagating in x-direction is described by
Ey=200 V m-1sin1.5×107t-0.05x; The intensity of the wave is :
(Use ϵ0=8.85×10-12 C2 N-1 m-2)

PhysicsElectromagnetic WavesJEE MainJEE Main 2024 (27 Jan Shift 1)
Options:
  • A 35.4 W m-2
  • B 53.1 W m-2
  • C 26.6 W m-2
  • D 106.2 W m-2
Solution:
2185 Upvotes Verified Answer
The correct answer is: 53.1 W m-2

The magnitude of the electric field component of the electromagnetic wave is given by

E0=200 V m-1

The formula to calculate the intensity of the electromagnetic wave is given by

I=12ε0cE02   ...1

From equation (1), it follows that

I=12×8.85×10-12×3×108×2002 W m-2=53.1 W m-2

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