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ExamsJEE MainPhysics

A source of monochromatic green light radiates equally in every direction. If it converts only 3% of the 100 W electrical power it uses into electromagnetic radiation, then the electric-field amplitude of the emitted wave at a point 5 m away from the source is closest to:

  1. 1.34 V/m
  2. 2.68 V/m
  3. 4.02 V/m
  4. 5.36 V/m

Correct answer: 2.68 V/m

Solution

Radiated power = 3% of 100 W = 3 W. Intensity at 5 m: I = 3/(4*pi*5^2) = 9.55e-3 W/m^2. From I = (1/2)*e0*c*E0^2, E0 = sqrt(2I/(e0 c)) = 2.68 V/m.

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