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NEET 2013
Exam
NEET
Year
2013
Subject
Physics
Chapter
Dual Nature of Matter

NEET 2013 · Physics · Dual Nature of Matter

For photoelectric emission from certain metal the cut-off frequency...

For photoelectric emission from certain metal the cut-off frequency is vv. If radiation of frequency 2v2 \mathrm{v} impinges on the metal plate, the maximum possible velocity of the emitted electron will be ( mm is the electron mass)

Options

  1. Ahv(2m)\sqrt{\frac{h v}{(2 m)}}
  2. Bhvm\sqrt{\frac{h v}{m}}
  3. C2hvm\sqrt{\frac{2 h v}{m}}
  4. D2hvm2 \sqrt{\frac{h v}{m}}

Correct answer

C. 2hvm\sqrt{\frac{2 h v}{m}}

Step-by-step solution

As12mvmax⁡2=hv⇒vmax⁡2=2mNm∴vmax⁡=2h V m\begin{aligned}& \mathrm{As} \frac{1}{2}m v_{\max }^2=h v \\ & \Rightarrow \quad v_{\max }^2=\frac{2 \mathrm{mN}}{m}\\ & \therefore \quad v_{\max }=\sqrt{\frac{2 h \mathrm{~V}}{\mathrm{~m}}}\\ & \end{aligned}
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