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NEET 2011
Exam
NEET
Year
2011
Subject
Physics
Chapter
Dual Nature of Matter

NEET 2011 · Physics · Dual Nature of Matter

The threshold frequency for a photo-sensitive metal is 3.3 × 10^ 14...

The threshold frequency for a photo-sensitive metal is 3.3×1014 Hz3.3 \times 10^{14} \mathrm{~Hz}. If light of frequency 8.2×1014 Hz8.2 \times 10^{14} \mathrm{~Hz} is incident on this metal, the cut-off voltage for the photo-electric emission is nearly

Options

  1. A2 V2 \mathrm{~V}
  2. B3 V3 \mathrm{~V}
  3. C5 V5 \mathrm{~V}
  4. D1 V1 \mathrm{~V}

Correct answer

A. 2 V2 \mathrm{~V}

Step-by-step solution

V0=E−Ve=h(v−v0)e=6.62×10−34(8.2×1014−3.3×1014)1.6×10−19=6.62×10−341.6×4.9×1033=6.62×4.9×10−11.6\begin{aligned}V_0 & =\frac{E-V}{e}\\ & =\frac{h\left(v-v_0\right)}{e}\\ & =\frac{6.62 \times 10^{-34}\left(8.2 \times 10^{14}-3.3 \times 10^{14}\right)}{1.6 \times 10^{-19}}\\ & =\frac{6.62 \times 10^{-34}}{1.6} \times4.9 \times10^{33} \\ & =\frac{6.62 \times 4.9 \times 10^{-1}}{1.6} \end{aligned}V_0=2  volt \text{ volt }
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