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JEE Main 202227 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
27 June
Shift
Evening Shift
Subject
Physics
Chapter
Electromagnetic Waves

JEE Main 2022 · 27 June · Evening Shift · Physics · Electromagnetic Waves

Given below are two statements : Statement I: A time varying...

Given below are two statements :

Statement I: A time varying electric field is a source of changing magnetic field and vice-versa. Thus a disturbance in electric or magnetic field creates EM waves.

Statement II: In a material medium, the EM wave travels with speed v=1μ0ϵ0v = \dfrac{1}{\sqrt{{\mu}_{0}{ϵ}_{0}}}.

In the light of the above statements, choose the correct answer from the options given below.

Options

  1. ABoth statement I and statement II are true
  2. BBoth statement I and statement II are false
  3. CStatement I is correct but statement II is false
  4. DStatement I is incorrect but statement II is true

Correct answer

C. Statement I is correct but statement II is false

Step-by-step solution

According to the Maxwell’s EM theory, the EM waves propagation contains electric and magnetic field vibration in mutually perpendicular direction. Thus, the changing of electric field give rise to magnetic field.

Also, time varying magnetic field produces electric field. According to Faradays law, when magnetic flux changes in the region surrounded by conductor, it produces electric field (induced emf) in conductor.

In a material medium the EM wave travels with speed given by {v=1μεv=1μ0μr(ε0εr)\begin{cases}v & = \dfrac{1}{\sqrt{\muε}} \\ v & = \dfrac{1}{\sqrt{{\mu}_{0}{\mu}_{r}( {ε}_{0}{ε}_{r} )}}\end{cases}

Thus, statement I is correct but statement II is false.

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