Light of wavelength λ ph falls on a cathode plate inside a vacuum tube as shown in the…

Physics · JEE Advanced · NTA ExamsDual Nature of Matter and Radiation

Light of wavelength λph falls on a cathode plate inside a vacuum tube as shown in the figure. The work function of the cathode surface is φ and the anode is a wire mesh of conducting material kept at a distance d from the cathode. A potential difference V is maintained between the electrodes. If the minimum de Broglie wavelength of the electrons passing through the anode is λe, which of the following statement(s) is(are) true?
  1. For large potential difference (V > > f/e), le is approximately halved if V is made four times
  2. le decreases with increase in f and lph
  3. le increases at the same rate as lph for lph < hc/f
  4. le is approximately halved, if d is doubled

Answer

(A) For large potential difference ( V > > f / e ), l e is approximately halved if V is made four times

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