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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Photoelectric Effect and Wave–Particle Duality

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Photoelectric Effect and Wave–Particle Duality

Determine the maximum kinetic energy of the photoelectrons emitted...

Determine the maximum kinetic energy of the photoelectrons emitted when light of wavelength 350 nm350 \text{ nm} strikes a cesium surface. The work function of cesium is 1.9 eV1.9 \text{ eV}.

Options

  1. A3.5 eV3.5 \text{ eV}
  2. B1.6 eV1.6 \text{ eV}
  3. C2.4 eV2.4 \text{ eV}
  4. D5.4 eV5.4 \text{ eV}

Correct answer

B. 1.6 eV1.6 \text{ eV}

Step-by-step solution

The energy of the incident photon is given by E=hcλE = \dfrac{hc}{\lambda}

Using hc≈1240 eV nmhc \approx 1240 \text{ eV nm} and λ=350 nm\lambda = 350 \text{ nm}:

E=1240350≈3.54 eVE = \dfrac{1240}{350} \approx 3.54 \text{ eV}

According to Einstein's photoelectric equation, the maximum kinetic energy of the emitted photoelectrons is:

K_{\text\max} = E - \Phi

Substituting the values of EE and the work function Φ=1.9 eV\Phi = 1.9 \text{ eV}:

K_{\text\max} = 3.54 \text{ eV} - 1.9 \text{ eV} = 1.64 \text{ eV}

The closest value among the given options is 1.6 eV1.6 \text{ eV}.
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