AP EAMCET · PHYSICS · Dual Nature of Matter
When photons of energy \(8 \times 10^{-19} \mathrm{~J}\) incident on a photosensitive material, the de Broglie wavelength of the photoelectrons emitted with maximum kinetic energy is \(10 Å\). The work function of the photosensitive material is nearly
- A 3.5 eV
- B 2.5 eV
- C 2.0 eV
- D 1.5 eV
Answer & Solution
Correct Answer
(A) 3.5 eV
Step-by-step Solution
Detailed explanation
\(K_{max} = \frac{h^2}{2m_e \lambda^2}\) \(K_{max} = \frac{(6.626 \times 10^{-34} \mathrm{~J \cdot s})^2}{2 \times 9.109 \times 10^{-31} \mathrm{~kg} \times (10 \times 10^{-10} \mathrm{~m})^2} \approx 2.409 \times 10^{-19} \mathrm{~J}\) \(\phi = E - K_{max}\)…
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