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MHT CET · Physics · Dual Nature of Matter

Radiations of two photons having energies twice and five times the work function of metal are incident successively on metal surface. The ratio of the maximum velocity of photo electrons emitted in the two cases will be

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

(D) \(1: 4\)

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Detailed explanation

\(\begin{aligned} & \frac{K_1 E_{\max }}{K \cdot E_{\operatorname{man} 2}}=\frac{E_1-\phi_0}{E_2-\phi_0}=\frac{2 \phi_0-\phi_0}{5 \phi_0-\phi_a} \\ & \therefore \quad \frac{K \cdot E_{\max }}{K \cdot E_{\max 2}}=\frac{1}{4} \\ & \end{aligned}\)
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