Q170 / 180 · COMEDK 2023 (Morning Shift) · Physics

The ratio of amplitude of magnetic field to the amplitude of electric field of an electromagnetic wave propagating in vacuum is

  • A
    inversely proportional to the frequency of the electromagnetic wave
  • B
    the speed of light in vacuum
  • C
    proportional to frequency of the electromagnetic wave
  • Correct answer
    D
    reciprocal of speed of light in vacuum

Solution

For an electromagnetic wave propagating in vacuum, the relationship between the amplitude of the electric field $E_0$ and the amplitude of the magnetic field $B_0$ is given by the equation $E_0 = c B_0$, where $c$ is the speed of light in vacuum.

The ratio of the amplitude of the magnetic field to the amplitude of the electric field is $\dfrac{B_0}{E_0} = \dfrac{1}{c}$.

Since $c = \dfrac{1}{\sqrt{\mu_0 \epsilon_0}}$, the ratio $\dfrac{B_0}{E_0}$ is the reciprocal of the speed of light in vacuum.

Answer: reciprocal of speed of light in vacuum

Hence, the correct answer is option: 'D'.

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