(a) Explanation Write the expression for the work function. W 0 = h c λ − K max (I) Here, W 0 is the work function, h is the Planck’s constant, c is the speed of light , K max is the kinetic energy of the ejected electron, and λ is the threshold wave length. The kinetic energy of the ejected photoelectrons is zero at at threshold wavelength Use 0 for K max in (I) to rewrite it. W 0 = h c λ (II) Conclusion: Substitute 520 nm for λ min , 6 (b) To determine The stopping voltage required.

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Chapter 37, Problem 16P

(a)

To determine

The work function of the material.

(b)

To determine

The stopping voltage required.

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Chapter 37, Problem 15P

Chapter 37, Problem 17P

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(4) (i) Light shining on a metal surface produces photoelectrons with a maximum kinetic energy of 2.0 eV. The light intensity is then doubled. Now what is the maximum kinetic energy of the photoelectrons, in eV? (ii) The detector in an ordinary digital camera is made of silicon. This detector works by the photoelectric effect. The longest wavelength of light that an ordinary digital camera can detect has a wavelength of 1 micron (where 1 micron = 10^-6 m). What is the work function of silicon, in eV? (iii) Infrared cameras don't use detectors made of silicon. For an infrared camera to detect infrared radiation with a wavelength of 22 microns, its detector must be made of a dierent material. What is the maximum possible work function of this material, in eV?

(i) Define the term ‘threshold frequency’ as used in photoelectric effect. (ii) Plot a graph showing the variation of photoelectric current as a function of anode potential for two light beams having the same frequency but different intensities I1 and I2 (I1 > I2 ).

(i) How does one explain the emission of electrons from a photosensitive surface with the help of Einstein’s photoelectric equation? (ii) The work function of the following metals is given : Na = 2.75 eV, K = 2.3 eV, Mo = 4.17 eV and Ni 5.15 eV. Which of these metals will not cause photoelectric emission for radiation of wavelength 3300 A from a laser source placed 1 m away from these metals? What happens if the laser source is brought nearer and placed 50 cm away?

Chapter 37 Solutions

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The work function of the material.

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