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NEET · Physics · STD 12 - 11. Dual nature of radiation and matter
An electromagnetic wave of wavelength \(\lambda\) is incident on a photosensitive surface of negligible work function. If \(m\) mass is of photoelectron emitted from the surface has de-Broglie wavelength \(\lambda_{\mathrm{d}}\), then
- A \(\lambda=\left(\frac{2 \mathrm{m}}{\mathrm{hc}}\right) \lambda_{\mathrm{d}}^{2}\)
- B \(\lambda_{\mathrm{d}}=\left(\frac{2 \mathrm{mc}}{\mathrm{h}}\right) \lambda^{2}\)
- C \(\lambda=\left(\frac{2 \mathrm{mc}}{\mathrm{h}}\right) \lambda_{\mathrm{d}}^{2}\)
- D \(\lambda=\left(\frac{2 \mathrm{h}}{\mathrm{mc}}\right) \lambda_{\mathrm{d}}^{2}\)
Answer & Solution
Correct Answer
(C) \(\lambda=\left(\frac{2 \mathrm{mc}}{\mathrm{h}}\right) \lambda_{\mathrm{d}}^{2}\)
Step-by-step Solution
Detailed explanation
\(\frac{\mathrm{hc}}{\lambda}=\mathrm{k}_{\max }+\phi[\) given \(\phi\) is negligible \(]\) \(\text { So, } \frac{h c}{\lambda}=K_{\max }\)
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