Intensity of sunlight is observed as 0.092, {Wm}^{-2} at a point in free space. What will be peak va

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8.Electromagnetic waves

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Intensity of sunlight is observed as $0.092\, {Wm}^{-2}$ at a point in free space. What will be the peak value of magnetic field at that point? $\left(\sigma_{0}=8.85 \times 10^{-12}\, {C}^{2} \,{N}^{-1} \,{m}^{-2}\right.$ )

A

$8.31\, {T}$

B

$5.88 \,{T}$

C

$1.96 \,\times 10^{-8} {T}$

D

$2.77 \,\times 10^{-8} {T}$

(JEE MAIN-2021)

Solution

$I_{\text {avg }}=\frac{B_{0}^{2} C}{2 \mu_{0}} \& \frac{1}{\mu_{0}}=\epsilon_{0} C^{2}$

$I=\frac{B_{0}^{2}}{2} \in_{0} C^{3}$

$B_{0}=\sqrt{\frac{2 I}{\epsilon_{0} C^{3}}}$

$B_{0}=2.77 \times 10^{-8}\, {T}$

Standard 12

Physics

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