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AP EAMCET · PHYSICS · Dual Nature of Matter

When a light of wavelength \(4900 Å\) falls on a photosensitive metal, a negative \(2 \mathrm{~V}\) potential is required to stop the emitted electrons. Then, the work-function of the material is nearly
( given charge on electron \(=1.602 \times 10^{-19} \mathrm{C}\) and Planck's constant \(=6.625 \times 10^{-34} \mathrm{Js}\) )

  1. A \(1.1 \mathrm{eV}\)
  2. B \(2.2 \mathrm{eV}\)
  3. C \(0.53 \mathrm{eV}\)
  4. D \(1 \mathrm{eV}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(0.53 \mathrm{eV}\)

Step-by-step Solution

Detailed explanation

Given, wavelength of light, \(\lambda=4900 Å\) Stopping potential, \(V=2 \mathrm{~V}\) Energy of the incident light, \[ \begin{aligned} & E=\frac{12400 \mathrm{eV}}{\lambda Å} \\ \therefore \quad & E=\frac{12400}{4900} \mathrm{eV}=2.53 \mathrm{eV} \end{aligned} \] Kinetic…