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NEET 2005
Exam
NEET
Year
2005
Subject
Physics
Chapter
Dual Nature of Matter

NEET 2005 · Physics · Dual Nature of Matter

The photosensitive metallic surface has work function h v_0 fall on...

The photosensitive metallic surface has work function hv0h v_0 fall on this surface, the electrons come out with a maximum velocity of 4×106 m/s4 \times 10^6 \mathrm{~m} / \mathrm{s}. When the photon energy is increased 5hv05 h v_0. Then maximum velocity of photoelectrons will be:

Options

  1. A2×107 m/s2 \times 10^7 \mathrm{~m} / \mathrm{s}
  2. B2×106 m/s2 \times 10^6 \mathrm{~m} / \mathrm{s}
  3. C8×106 m/s8 \times 10^6 \mathrm{~m} / \mathrm{s}
  4. D8×105 m/s8 \times 10^5 \mathrm{~m} / \mathrm{s}

Correct answer

C. 8×106 m/s8 \times 10^6 \mathrm{~m} / \mathrm{s}

Step-by-step solution

According to the question 2hv0=hv0+12m(4×106)25hv0=hv0+12mv2⇒4×12m(4×106)⇒12mv2v=8×106 m/s\begin{gathered}2 h v_0=h v_0+\frac{1}{2}m\left(4 \times10^6\right)^2 \\ 5 h v_0=h v_0+\frac{1}{2}m v² \\ \Rightarrow 4 \times \frac{1}{2}m\left(4 \times10^6\right) \\ \Rightarrow \frac{1}{2}mv² \\ v=8 \times10^6 \mathrm{~m}/ \mathrm{s} \end{gathered}
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