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JEE Main 202224 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
24 June
Shift
Evening Shift
Subject
Physics
Chapter
Electromagnetic Waves

JEE Main 2022 · 24 June · Evening Shift · Physics · Electromagnetic Waves

An electric bulb is rated as 200W . What will be the peak magnetic...

An electric bulb is rated as 200W200W. What will be the peak magnetic field at 4m4m distance produced by the radiations coming from this bulb? Consider this bulb as a point source with 3.53 . 5 % efficiency.

Options

  1. A1.19×10−8T1 . 19 \times {10}^{- 8}T
  2. B1.71×10−8T1 . 71 \times {10}^{- 8}T
  3. C0.84×10−8T0 . 84 \times {10}^{- 8}T
  4. D3.36×10−8T3 . 36 \times {10}^{- 8}T

Correct answer

B. 1.71×10−8T1 . 71 \times {10}^{- 8}T

Step-by-step solution

Intensity of light is I=PowerArea=200×3.51004π(4)2=0.034Wm−2I = \dfrac{Power}{Area} = \dfrac{200 \times \dfrac{3 . 5}{100}}{4\pi{\left(4\right)}^{2}} = 0 . 034W{m}^{- 2}

Using the relation between magnetic field and intensity, I=B02c2μ0I = \dfrac{{B}_{0}^{2}c}{2{\mu}_{0}}

We have, magnetic field as B0=I×2μ0c=0.034×2×4π×10−73×108=1.69×10−8T≈1.71×10−8T{B}_{0} = \sqrt{\dfrac{I \times 2{\mu}_{0}}{c}} = \sqrt{\dfrac{0 . 034 \times 2 \times 4\pi \times {10}^{- 7}}{3 \times {10}^{8}}} = 1 . 69 \times {10}^{- 8}T \approx 1 . 71 \times {10}^{- 8}T

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