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JEE Mains · Physics · STD 12 - 11. Dual nature of radiation and matter

The light of two different frequencies whose photons have energies \(3.8 \,eV\) and \(1.4 \,eV\) respectively, illuminate a metallic surface whose work function is \(0.6 \,eV\) successively. The ratio of maximum speeds of emitted electrons for the two frequencies respectivly will be

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

Correct Answer

(B) \(2: 1\)

Step-by-step Solution

Detailed explanation

\(\sqrt{\frac{3.8-0.6}{1.4-0.6}}=\sqrt{\frac{3.2}{0.8}}=2\)
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