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Question

A point of source of 6 watts emits monochromatic light of wavelength 5000˙A. The number of photons striking normally per second per unit area of the surface distant 5 m from the source will be
  1. 4.82 × 1016
  2. 4.82
  3. 4.82 × 106
  4. 4.82 × 104

A
4.82 × 1016
B
4.82 × 104
C
4.82
D
4.82 × 106
Solution
Verified by Toppr

The photons will be emitted symmetrically in all directions.
Power of Source = 6W

Energy=nhν=nhcλ where n is no.of photons emitted per second.

Soving the above equation we get n.

The no.of photons falling on 1m2 area is equal to n4πd2 where d is the distance of the point.

No.of photons=1.51×10194π(5)2=4.82×1016

So, the answer is option (D).

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