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JEE Main202310 Apr 2023Morning ShiftPhysicsElectromagnetic InductionActual

The energy of an electromagnetic wave contained in a small volume oscillates with

Options

  1. ADouble the frequency of the wave
  2. BThe frequency of the wave
  3. CHalf the frequency of the wave
  4. DZero frequency

Correct answer

A. Double the frequency of the wave

Step-by-step solution

The formula to calculate the energy confined within the electric component of an electromagnetic wave can be written as u E = 1 2 ε 0 E 2 d V       . . . 1 Let's assume that the equation of the electric component is given by E = E 0   sin ω t + ϕ       . . . 2 Substitute the expression for the electric field component from equation (2) into equation (1) and simplify to obtain the expression for the energy confined within the small volume d V . u E = 1 2 ε 0

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