Question Details

The property which is not of an electromagnetic wave travelling in free space is that :

Options

A

they are transverse in nature.

B

the energy density in electric field is equal to energy density in magnetic field.

C

they travel with a speed equal to  1 μ 0 ε 0

D

they originate from charges moving with uniform speed.

Show Answer

Correct Answer :

Option D

they originate from charges moving with uniform speed.

they originate from charges moving with uniform speed.

Solution :

The correct answer is they originate from charges moving with uniform speed.

An electromagnetic (EM) wave in free space is a solution of Maxwell’s equations when no charges or currents are present. The wave‑equation derived from Maxwell’s equations in vacuum is:

∂²Et2=c2∇²E

where c=1μ0ε0 is the speed of light in vacuum. The same equation holds for the magnetic field B.

From these equations we obtain several characteristic properties of EM waves in free space:

  • They are transverse: the electric field E and magnetic field B are perpendicular to the direction of propagation and to each other.
  • The energy density stored in the electric field equals the energy density stored in the magnetic field: u_E=ε0E2 and u_B=B2μ0, and for a plane wave u_E=u_B.
  • They propagate with speed c=1μ0ε0, a universal constant in vacuum.

The statement “they originate from charges moving with uniform speed” does not describe a property of the wave itself. In vacuum there are no charges to “originate” the wave; the wave can be generated by accelerating charges (e.g., an oscillating dipole), but a charge moving with constant velocity does not radiate electromagnetic energy. According to the Larmor formula, radiation requires acceleration, not uniform motion. Therefore this option is not a property of an EM wave traveling in free space.

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