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JEE Main 202429 JanuaryEvening Shift
Exam
JEE Main
Year
2024
Date
29 January
Shift
Evening Shift
Subject
Physics
Chapter
Electromagnetic Waves

JEE Main 2024 · 29 January · Evening Shift · Physics · Electromagnetic Waves

A plane electromagnetic wave of frequency 35MHz travels in free...

A plane electromagnetic wave of frequency 35MHz35MHz travels in free space along the XX-direction. At a particular point (in space and time) \overset{\to}{E} = 9 . 6\overset{^}{j}V{m}^{- 1}. The value of magnetic field at this point is:

Options

  1. A3 . 2 \times {10}^{- 8}\overset{^}{k}T
  2. B3 . 2 \times {10}^{- 8}\overset{^}{i}
  3. C9 . 6\overset{^}{j}T
  4. D9 . 6 \times {10}^{- 8}\overset{^}{k}T

Correct answer

A. 3 . 2 \times {10}^{- 8}\overset{^}{k}T

Step-by-step solution

At every instant, the ratio of the magnitude of the electric field to the magnitude of the magnetic field in an electromagnetic wave equals the speed of light.

Therefore, EB=c\dfrac{E}{B} = c

⇒EB=3×108⇒ \dfrac{E}{B} = 3 \times {10}^{8}

⇒B=E3×108=9.63×108⇒ B = \dfrac{E}{3 \times {10}^{8}} = \dfrac{9 . 6}{3 \times {10}^{8}}

⇒B=3.2×10−8T⇒ B = 3 . 2 \times {10}^{- 8}T

Now, direction of magnetic field can be calculated as

\overset{^}{B} = \overset{^}{v} \times \overset{^}{E}

= \overset{^}{i} \times \overset{^}{j} = \overset{^}{k}

So, \overset{\to}{B} = 3 . 2 \times {10}^{- 8}\overset{^}{k}T

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