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

The maximum velocity of the photoelectrons emitted from the surface is \(v\) when light of frequency \(n\) falls on a metal surface. If the incident frequency is increased to \(3n\) , the maximum velocity of the ejected photoelectrons will be 

  1. A less than \(\sqrt 3 v\,\)
  2. B \(v\)
  3. C more thanequal \(\sqrt 3 v\,\)
  4. D equal to \(\sqrt 3 v\,\)
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Answer & Solution

Correct Answer

(C) more thanequal \(\sqrt 3 v\,\)

Step-by-step Solution

Detailed explanation

As the metal surface is same, work function \((\phi)\) is same for both the case. Initially \(\mathrm{KE}_{\max }=\mathrm{nh}-\phi\) ..... \((i)\) After increase \(\mathrm{KE}_{\mathrm{max}}^{\prime}=3 \mathrm{nh}-\phi\) ..... \((ii)\) For work function \(\phi-\) not to be…
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