Em Waves Question 76

Question: The rms value of the electric field of the light coming from sun is 720 N/C. The average energy density of the emf is

Options:

A) $ 3.3\times {{10}^{-3}}J/m^{3} $

B) $ 4.58\times {{10}^{-6}}J/m^{3} $

C) $ 6.37\times {{10}^{-9}}J/m^{3} $

D) $ 81.35\times {{10}^{-12}}J/m^{3} $

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Answer:

Correct Answer: B

Solution:

[b] In electromagnetic waves, electric energy density is equal to magnetic energy density. Total energy density $ =2\times \text{electric}\text{energy} $

$ =2( \frac{1}{2}{\varepsilon _{0}}E^{2} ) $

$ =2\times 12\times 8.854\times {{10}^{-12}}\times {{(720)}^{2}} $

$ =4.58\times {{10}^{-6}}J\text{/}m^{3} $