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MHT CET · Physics · Dual Nature of Matter

Sodium and copper have work functions \(2.3 \mathrm{~ev}\) and \(4.5 \mathrm{~ev}\) respectively. The ratio of threshold wavelength of sodium to that of copper is nearest to

  1. A \(1: 4\)
  2. B \(4 : 1\)
  3. C \(1 : 2\)
  4. D \(2: 1\)
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Correct Answer

(D) \(2: 1\)

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Detailed explanation

\( \phi = \frac{hc}{\lambda_0} \implies \lambda_0 \propto \frac{1}{\phi} \) \( \frac{\lambda_{0, \text{sodium}}}{\lambda_{0, \text{copper}}} = \frac{\phi_{\text{copper}}}{\phi_{\text{sodium}}} \)
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