COMEDK · Physics · 27. Dual Nature of Matter
A monochromatic beam of photons of intensity to 1.5 \(Wm^{-2}\) and energy 11.2 eV is incident on a material of work function 4.8 eV. What is the maximum speed of photoelectrons emitted due to photoelectric effect if, only 0.53% of the incident photons eject photoelectrons. Given mass of electron \(m = 9 \times 10^{-31}\) kg.
- A \(1.3 \times 10^6\ ms^{-1}\)
- B \(1.2 \times 10^6\ ms^{-1}\)
- C \(1.4 \times 10^6\ ms^{-1}\)
- D \(1.5 \times 10^6\ ms^{-1}\)
Answer & Solution
Correct Answer
(D) \(1.5 \times 10^6\ ms^{-1}\)
Step-by-step Solution
Detailed explanation
Using Einstein's photoelectric equation: \(K_{\max} = E - \Phi\) Substituting the given values for the energy of the incident photon and the work function: \(K_{\max} = 11.2 \text{ eV} - 4.8 \text{ eV} = 6.4 \text{ eV}\) Converting the maximum kinetic energy into Joules:…
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