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AP EAMCET · PHYSICS · Dual Nature of Matter

The longest wavelength of light that can initiate photo electric effect in the metal of work function 9 eV is

  1. A \(1.37 \times 10^{-7} \mathrm{~m}\)
  2. B \(1.5 \times 10^{-7} \mathrm{~m}\)
  3. C \(3.7 \times 10^{-7} \mathrm{~m}\)
  4. D \(4 \times 10^{-7} \mathrm{~m}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(1.37 \times 10^{-7} \mathrm{~m}\)

Step-by-step Solution

Detailed explanation

for metal, \(\phi_0=9 e^v\) \(\therefore \phi_{\mathrm{o}}=\frac{\mathrm{h}_{\mathrm{c}}}{\lambda_{\mathrm{o}}} \Rightarrow \lambda_{\mathrm{o}}=\frac{1240 \mathrm{~eV}-\mathrm{nm}}{9 \mathrm{~eV}}=1.37 \times 10^{-7} \mathrm{~m}\)
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