Which of the following statements is/are correct?

(a) Electromagnetic waves have different speeds in different mediums.

(b) Sounds have different speeds in different mediums.

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  1. Neither (a) nor (b)
  2. (a) only
  3. (b) only
  4. Both (a) and (b)

Answer (Detailed Solution Below)

Option 4 : Both (a) and (b)
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Detailed Solution

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Concept:

Electromagnetic wave:

  • It can also be said that electromagnetic waves are the composition of oscillating electric and magnetic fields.
  • Electromagnetic waves are shown by a sinusoidal graph.
  • It consists of time-varying electric and magnetic fields which are perpendicular to each other and are also perpendicular to the direction of propagation of waves.
  • The direction of propagation of the electromagnetic waves is given by the Poynting vector.
  • Poynting vector, \(\vec P=\vec E\times \vec B\)

F2 J.K 13.5.20 Pallavi D1

  • Electromagnetic waves travel at c = 3.0×108 m/s in a vacuum but slow down when they pass through a medium because the material has a different value for the permittivity and/or permeability due to the interaction of the wave with the atoms of the material.
  • The relation between the magnitude of the electric field and the magnetic field is given as E0 = B0 c

Sound wave:

  • A sound is a vibration that propagates through a medium in the form of a mechanical wave.
  • The medium in which it propagates can either be a solid, a liquid, or a gas.
  • Sound travels fastest in solids, relatively slower in liquids, and slowest in gases.

Explanation:

  • Electromagnetic waves have different speeds in different mediums because the material has a different value for the permittivity and/or permeability due to the interaction of the wave with the atoms of the material.
  • Sounds have different speeds in different mediums.

Hence, both given statements are true.

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