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AP EAMCET202422 May 2024Morning ShiftPhysicsDual Nature of MatterActual

The surface of a metal is first illuminated with a light of wavelength 300 nm and later illuminated by another light of wavelength 500 nm . It is observed that the ratio of maximum velocities of photo electrons in two cases is 3. The work function of metal value is close to

Options

  1. A6.48 eV
  2. B1.23 eV
  3. C4.17 eV
  4. D2.28 eV

Correct answer

D. 2.28 eV

Step-by-step solution

₁=300 ~nm , ₂=500 ~nm , v ₁ v ₂ =3 By Einstein photoelectric equation, ( E = ₀+ 1 2 mv ^2 ) ( ( v ₁ v ₂ )^2= E ₁- ₀ E ₂- ₀ = ( 1240 ₁ - ₀ ) ( 1240 ₂ - ₀ ) ) ( 9= ( 1240 300 - ₀ ) ( 1240 500 - ₀ ) 9 ( 124 50 - ₀ )= ( 124 30 - ₀ ) ) ( ₀ 2.28 eV )

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