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JEE Mains · Physics · STD 12 - 11. Dual nature of radiation and matter

Light is incident normally on a completely absorbing surface with an energy flux of \(25\,W\,cm^{-2}.\) If the surface has an area of \(25\,cm^2,\) the maximum momentum transferred to the surface in \(40\,min\) time duration will be

  1. A \(6.3\times 10^{-4}\,Ns\)
  2. B \(3.5\times 10^{-6}\,Ns\)
  3. C \(5.0\times 10^{-3}\,Ns\)
  4. D \(1.4\times 10^{-6}\,Ns\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(5.0\times 10^{-3}\,Ns\)

Step-by-step Solution

Detailed explanation

\(\mathrm{I}=25 \frac{\mathrm{W}}{\mathrm{cm}^{2}}\) \(=25 \times 10^{4} \mathrm{W} / \mathrm{m}^{2}\) \(P = 25 \times 25;\) \(W = 625\,W\) \(\frac{\mathrm{hc}}{\lambda} \frac{\mathrm{dn}}{\mathrm{dt}}=\mathrm{P}\)…
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