Q6 / 55 · KVPY 2020 (SA) · Chemistry

A certain metal has a work function of Φ=2eV. It is irradiated first with 1 W of 400nm light and later with 1 W of 800nm light. Among the following, the correct statement is: [Given:Planck constant h=6.626×10-34 m2kgs-1 Speed of light (c)=3×108 ms-1]

  • A
    Both colors of light give rise to same number of photoelectrons.
  • B
    400nm light gives rise to less energetic photoelectrons than 800nm light.
  • Correct answer
    C
    400nm light leads to more photoelectrons.
  • D
    800nm light leads to more photoelectrons.

Solution

Work function of metal ϕ=2eV

Energy of photon λ=400nm=hcλ=3.105eV

Energy of photon λ=800nm=hcλ=1.5525eV

Hence, photon with λ=400nm will emit photoelectrons while photon with λ=800nm will not emit photoelectrons.

Hence, the correct answer is option: 'C'.

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