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CUET · PHYSICS · PYQ PAPER 2023

Two photons of equal energy 8 MeV each, strikes two different metal sheets having work functions 4 MeV and 6 MeV, respectively. The ratio of maximum velocity of electrons emitted from two metal sheets respectively is :

  1. A \(1:2\)
  2. B \(2:1\)
  3. C \( \sqrt{2} : 1 \)
  4. D \( 1 : \sqrt{2} \)
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Answer & Solution

Correct Answer

(C) \( \sqrt{2} : 1 \)

Step-by-step Solution

Detailed explanation

\(KE_1 = E - \phi_1 = 8 \text{ MeV} - 4 \text{ MeV} = 4 \text{ MeV}\) \(KE_2 = E - \phi_2 = 8 \text{ MeV} - 6 \text{ MeV} = 2 \text{ MeV}\) \(\frac{v_1}{v_2} = \sqrt{\frac{KE_1}{KE_2}} = \sqrt{\frac{4 \text{ MeV}}{2 \text{ MeV}}} = \sqrt{2}\) \(v_1 : v_2 = \sqrt{2} : 1\)
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