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MHT CET · Physics · Dual Nature of Matter

When a light of wavelength \(\lambda\) falls on the emitter of a photocell, maximum speed of emitted photoelectrons is V. If the incident wavelength is changed to \(2 \lambda / 3\), maximum speed of emitted photoelectrons will be

  1. A \(\sqrt{3} \mathrm{~V}\)
  2. B \(\frac{V}{2}\)
  3. C V
  4. D \(\sqrt{\frac{3}{2}} \mathrm{~V}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\sqrt{\frac{3}{2}} \mathrm{~V}\)

Step-by-step Solution

Detailed explanation

\( \frac{hc}{\lambda} = \frac{1}{2}mV^2 \) \( \frac{hc}{2\lambda/3} = \frac{1}{2}mV'^2 \)
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