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  • A lamp emits monochromatic green light uniformly in all directions. The lamp is 3% efficient in converting electrical power to electromagnetic waves and consumes 100W of power. The amplitude of the

A lamp emits monochromatic green light uniformly in all directions. The lamp is 3% efficient in converting electrical power to electromagnetic waves and consumes 100W of power. The amplitude of the electric field associated with the electromagnetic radiation at a distance of 10m from the lamp will be:

Option: 1

1.34 V/m


Option: 2

2.68 V/m


Option: 3

5.36 V/m


Option: 4

9.37 V/m


Answers (1)

best_answer

\mathrm{\begin{aligned} & \mathrm{S}_{\mathrm{av}}=\frac{\mathrm{P}}{4 \pi \mathrm{R}^2}=\frac{1}{2} \varepsilon_0 \mathrm{cE}_0^2 \\ & \therefore \mathrm{E}_0 \sqrt{\frac{\mathrm{P}}{2 \pi \mathrm{R}^2 \varepsilon_0 \mathrm{c}}}=\sqrt{\frac{3}{2 \times 3.14 \times 100 \times 8.85 \times 10^{-12 \times 3 \times 10^8}}}=1.34 \mathrm{~V} / \mathrm{m} \end{aligned}}

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shivangi.bhatnagar

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