A hollow metal sphere has an inner radius, R =5 cm, and an outer radius, R, = 6 cm. The metal sphere is initially uncharged and a net charge, +Q, exists in its hollow region, as shown in Figure 1. The sphere is then illuminated from outside by ultraviolet light of wavelength 2 = 220 nm, resulting in the emission of photoelectrons. The work function of the metal is 4.70 eV. R, Vo Va R2 Figure 1 (i) If no photoelectrons emitted by the metal sphere can reach infinity, find the minimum amount of net charge Q that should be located in the hollow region. (ii) If Q = 4x10 C, determine the amount of charge induced on the inner and outer surfaces of the metal sphere, and estimate the number of photoelectrons that can reach infinity.
A hollow metal sphere has an inner radius, R =5 cm, and an outer radius, R, = 6 cm. The metal sphere is initially uncharged and a net charge, +Q, exists in its hollow region, as shown in Figure 1. The sphere is then illuminated from outside by ultraviolet light of wavelength 2 = 220 nm, resulting in the emission of photoelectrons. The work function of the metal is 4.70 eV. R, Vo Va R2 Figure 1 (i) If no photoelectrons emitted by the metal sphere can reach infinity, find the minimum amount of net charge Q that should be located in the hollow region. (ii) If Q = 4x10 C, determine the amount of charge induced on the inner and outer surfaces of the metal sphere, and estimate the number of photoelectrons that can reach infinity.
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Transcribed Image Text:A hollow metal sphere has an inner radius, R =5 cm, and an outer radius, R, = 6 cm. The
metal sphere is initially uncharged and a net charge, +Q, exists in its hollow region, as shown
in Figure 1. The sphere is then illuminated from outside by ultraviolet light of wavelength
2 = 220 nm, resulting in the emission of photoelectrons. The work function of the metal is
4.70 eV.
R,
Vo
Va
R2
Figure 1
(i)
If no photoelectrons emitted by the metal sphere can reach infinity, find the minimum
amount of net charge Q that should be located in the hollow region.
(ii)
If Q = 4x10 C, determine the amount of charge induced on the inner and outer
surfaces of the metal sphere, and estimate the number of photoelectrons that can reach
infinity.
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