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AP EAMCET20228 Jul 2022Morning ShiftPhysicsDual Nature of MatterActual

Two light waves of wavelengths 600 ~nm and 200 ~nm incident on a metal surface. The maximum velocity of photoelectrons produced due to one wavelength is 1 3 of the maximum velocity of the photoelectrons produced due to the other wavelength, then the work function of the metal is

Options

  1. Ahc 8 10^7 ~J
  2. B8 hc 10^7 ~J
  3. Chc 4 10^7 ~J
  4. Dhc 9 10^7 ~J

Correct answer

A. hc 8 10^7 ~J

Step-by-step solution

By Einstein photoelectric equation aligned & hc ₁ = + 1 2 mV ^2, where ₁=200 ~nm & hc ₂ = + 1 2 ~m ( V 3 )^2, where ₂=600 ~nm aligned Subtracting (ii) from (i), we get hc ₁ - hc ₂ - =9 aligned & hc ₁ - = 9 hc ₂ -9 & 8 = hc ( 9 ₂ - 1 ₁ ) & = hc 8 ( 9 600 - 1 200 ) 1 10⁻⁹ & = hc 8 ( 9-3 600 ) 1 10⁻⁹ & = hc 8 10^7 ~J aligned

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