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JEE Main 202122 JulyMorning Shift
Exam
JEE Main
Year
2021
Date
22 July
Shift
Morning Shift
Subject
Physics
Chapter
Electromagnetic Waves

JEE Main 2021 · 22 July · Morning Shift · Physics · Electromagnetic Waves

Intensity of sunlight is observed as 0 . 092 Wm ^ - 2 at a point in...

Intensity of sunlight is observed as 0.092Wm−20 . 092{Wm}^{- 2} at a point in free space. What will be the peak value of magnetic field at that point ? (ε0=8.85×10−12C2N−1m−2)\left({ε}_{0} = 8 . 85 \times {10}^{- 12}{C}^{2}{N}^{- 1}{m}^{- 2}\right)

Options

  1. A2.77×10−8T2 . 77 \times {10}^{- 8}T
  2. B1.96×10−8T1 . 96 \times {10}^{- 8}T
  3. C8.31T8 . 31T
  4. D5.88T5 . 88T

Correct answer

A. 2.77×10−8T2 . 77 \times {10}^{- 8}T

Step-by-step solution

Iavg=B02C2μ0 and 1μ0=ϵ0C2{I}_{avg} = \dfrac{{B}_{0}^{2}C}{2{\mu}_{0}} \text{ and } \dfrac{1}{{\mu}_{0}} = {ϵ}_{0}{C}^{2}
I=B022ϵ0C3I = {B}_{0}^{2}2{ϵ}_{0}{C}^{3}
B0=2Iϵ0C3{B}_{0} = \sqrt{\dfrac{2I}{{ϵ}_{0}{C}^{3}}}
B0=2.77×10−8T{B}_{0} = 2 . 77 \times {10}^{- 8}T
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