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COMEDK2022PhysicsDual Nature of Matter

Ultraviolet light of wavelength 99 nm falls on a metal plate of work function 1.0 eV . If the mass of the electron is 9.1 10⁻³¹ kg , the de Broglie wavelength of the fastest photoelectron emitted is

Options

  1. A0.63 ~nm
  2. B0.66 nm
  3. C0.33 ~nm
  4. D0.36 ~mm

Correct answer

D. 0.36 ~mm

Step-by-step solution

E = hc = 1242 , eV·nm 99 , nm 12.54 , eV K_ max = E - = 12.54 - 1.0 = 11.54 , eV Using the de Broglie wavelength formula for electrons: _e = 150 K_ max ( in eV ) , = 150 11.54 , = 13.0 , 3.6 , = 0.36 , nm Correct option: (4)

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