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If n R and n V denote the number of photons emitted by a red bulb and violet bulb of equal power in a given time, then

Options

  1. An R = n V
  2. Bn R > n V
  3. Cn R < n V
  4. Dn R ≤ n V

Correct answer

B. n R > n V

Step-by-step solution

Energy possessed by a photon is given by E = h f = h c λ If power of each bulb is P then energy given out in time t equal to P t . Let the number of photons be n , then n = P t E = P t ( h c / λ ) = P t λ h c For red light, n R = P t λ R h c For violet light, n V = P t λ V h c ∴ n R n V = λ R λ V As λ R > λ V So, n R > n V

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