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Dual Nature of Radiation and Matter · Class 12 · CBSE · Science Physics

The work function of a certain metal is 2.0text{ eV}. If light of frequency 6.0 times 10^{14}text{ Hz} is incident on the metal surface, the maximum…

Practice question from Dual Nature of Radiation and Matter (Class 12 · CBSE · Science Physics), with the correct answer and a step-by-step solution.

medium · MCQ · Q-374665

The work function of a certain metal is 2.0 eV2.0\text{ eV}. If light of frequency 6.0×1014 Hz6.0 \times 10^{14}\text{ Hz} is incident on the metal surface, the maximum kinetic energy of the emitted photoelectrons is approximately: (Given Planck's constant h=6.63×10−34 J sh = 6.63 \times 10^{-34}\text{ J s}, 1 eV=1.6×10−19 J1\text{ eV} = 1.6 \times 10^{-19}\text{ J})

  1. A.0.48 eVCorrect answer
  2. B.2.48 eV
  3. C.4.48 eV
  4. D.1.00 eV

Solution

Energy of incident photon is E=hν=6.63×10−34×6.0×10141.6×10−19 eV≈2.486 eVE = h\nu = \frac{6.63 \times 10^{-34} \times 6.0 \times 10^{14}}{1.6 \times 10^{-19}}\text{ eV} \approx 2.486\text{ eV}. Maximum kinetic energy Kmax=E−ϕ=2.486 eV−2.0 eV=0.486 eV≈0.48 eVK_{\text{max}} = E - \phi = 2.486\text{ eV} - 2.0\text{ eV} = 0.486\text{ eV} \approx 0.48\text{ eV}.

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