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The photosensitive surface is receiving the light of wavelength 5000   A ∘ at the rate of 10 - 8   J  s - 1 .  The number of photons received per second is ( h = 6 . 62 × 10 - 34   J   s ,   c = 3 × 10 8   m   s - 1 )

Options

  1. A2.5 × 10 10
  2. B2.5 × 10 11
  3. C2.5 × 10 12
  4. D2.5 × 10 9

Correct answer

A. 2.5 × 10 10

Step-by-step solution

Energy of photon E = h c λ Given, λ = 5000 Å = 5 × 10 - 7 m ∴ E = 6.6 × 10 - 34 × 3 × 10 8 5 × 10 - 7 = 3.96 × 10 - 19 J Energy received per second = 10 - 8 J s - 1 ∴ Number of photon's received per second = E n e r g y r e c e i v e d p e r s e c o n d E n e r g y o f o n e p h o t o n = 10 - 8 3.96 × 10 - 19 = 2.5 × 10 10

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