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JEE Main 20203 SeptemberMorning Shift
Exam
JEE Main
Year
2020
Date
3 September
Shift
Morning Shift
Subject
Physics
Chapter
Electromagnetic Waves

JEE Main 2020 · 3 September · Morning Shift · Physics · Electromagnetic Waves

The magnetic field of a plane electromagnetic wave is → B = 3 × 10...

The magnetic field of a plane electromagnetic wave is B→=3×10−8sin\overset{\to}{B} = 3 \times {10}^{- 8}sin\left[200\pi ( y + ct )\right]\overset{^}{i}T.Where,. Where,c = 3 \times {10}^{8}m{s}^{- 1} is the speed of light the corresponding electric filed is :

Options

  1. A\overset{\to}{E} = 9sin [ 200\pi ( y + ct ) \overset{^}{k}V / m
  2. B\overset{\to}{E} = - {10}^{- 6}sin [ 200\pi ( y + ct ) \overset{^}{k}V / m
  3. C\overset{\to}{E} = 3 \times {10}^{- 8}sin [ 200\pi ( y + ct ) \overset{^}{k}V / m
  4. D\overset{\to}{E} = - 9sin [ 200\pi ( y + ct ) \overset{^}{k}V / m

Correct answer

A. \overset{\to}{E} = 9sin [ 200\pi ( y + ct ) \overset{^}{k}V / m

Step-by-step solution

E0=cB0{E}_{0} = c{B}_{0}

∴ \overset{\to}{E} \times \overset{\to}{B} ‖ \overset{\to}{C} ⇒ \overset{^}{k} \times \overset{^}{i} = \overset{^}{j}

\overset{\to}{E} = 3 \times {10}^{8} \times 3 \times {10}^{- 8}sin [ 200\pi\left(y + ct\right) ( - \overset{^}{k} ) = 9sin [ 200\pi\left(y + ct\right) ] ( - \overset{^}{k} )

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