1. 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. R1 -e Vo Ve 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=4x10-12 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.

1. 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. R1 -e Vo Ve 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=4x10-12 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.