KCET · Physics · Dual Nature of Matter
n photons of wavelength \(\lambda\) are absorbed by a black body of mass \(\mathrm{m}\). The momentum gained by the body is
- A \(\frac{\mathrm{nh}}{\lambda}\)
- B \(\frac{h}{m \lambda}\)
- C \(\frac{\mathrm{mnh}}{\lambda}\)
- D \(\frac{n h}{m \lambda}\)
Answer & Solution
Correct Answer
(A) \(\frac{\mathrm{nh}}{\lambda}\)
Step-by-step Solution
Detailed explanation
Momentum gained ion absorption of on photon,
\[
\mathrm{p}=\frac{\mathrm{h}}{\lambda}
\]
\(\therefore\) Total momentum gained \(=\mathrm{nh}=\frac{\mathrm{nh}}{\lambda}\)
\[
\mathrm{p}=\frac{\mathrm{h}}{\lambda}
\]
\(\therefore\) Total momentum gained \(=\mathrm{nh}=\frac{\mathrm{nh}}{\lambda}\)
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