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JEE Main 202126 FebruaryMorning Shift
Exam
JEE Main
Year
2021
Date
26 February
Shift
Morning Shift
Subject
Physics
Chapter
Electromagnetic Waves

JEE Main 2021 · 26 February · Morning Shift · Physics · Electromagnetic Waves

A radiation is emitted by 1000W bulb and it generates an electric...

A radiation is emitted by 1000W1000W bulb and it generates an electric field and magnetic field at PP, placed at a distance of 2m2m. The efficiency of the bulb is 1.251 . 25 %. The value of peak electric field at PP is x×10−1Vm−1x \times {10}^{- 1}V{m}^{- 1}. Value of xx is (Rounded-off to the nearest integer) [Take ε0=8.85×10−12C2N−1m−2,c=3×106ms−1{ε}_{0} = 8 . 85 \times {10}^{- 12}{C}^{2}{N}^{- 1}{m}^{- 2}, c = 3 \times {10}^{6}m{s}^{- 1}]

Correct answer

0

Step-by-step solution

Iavg=12ε0E02c{I}_{avg} = \dfrac{1}{2}{ε}_{0}{E}_{0}^{2}c

1.25100×10004π(2)2=12×8.85×10−12×3×108×E02\dfrac{1 . 25}{100} \times \dfrac{1000}{4\pi{\left(2\right)}^{2}} = \dfrac{1}{2} \times 8 . 85 \times {10}^{- 12} \times 3 \times {10}^{8} \times {E}_{0}^{2}

E02=187.4{E}_{0}^{2} = 187 . 4

∴E0=13.689Vm−1∴ {E}_{0} = 13 . 689V{m}^{- 1}

=136.89×10−1Vm−1= 136 . 89 \times {10}^{- 1}V{m}^{- 1}

∴x=136.89∴ x = 136 . 89

Rounding off to nearest integer x=137x = 137

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