Light of wavelength λ p h 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 a

Question

Light of wavelength λ p h 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 λ e , which of the following statement(s) is(are) true ?

TestHub · Accepted Answer

K m a x = h c λ P h - ϕ Kinetic energy of e - reaching the anode will be K = h c λ P h - ϕ + e V Now λ e = h 2 m K = h 2 m h c λ P h - ϕ + e V If e V ≫ ϕ λ e = h 2 m h c λ P h + e V If V f = 4 V i λ e f ≃ λ e i 2

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