A hollow metal sphere has an inner radius, R1=5cm, and an outer radius,R2=6cm. 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 220 nm, resulting in the emission of photoelectrons. The work function of the metal is 4.70 eV. (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=4*10-12 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. A hollow metal sphere has an inner radius, R = 5 cm, and an outer radius, R, = 6 cm. Themetal sphere is initially uncharged and a net charge, +Q, exists in its hollow region, as shownin Figure 1. The sphere is then illuminated from outside by ultraviolet light of wavelength2 = 220 nm, resulting in the emission of photoelectrons. The work function of the metal is4.70 eV.R,R2Figure 1(i)If no photoelectrons emitted by the metal sphere can reach infinity, find the minimumamount of net charge Q that should be located in the hollow region.(ii)If Q = 4×102C, determine the amount of charge induced on the inner and outersurfaces of the metal sphere, and estimate the number of photoelectrons that can reachinfinity.

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Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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A hollow metal sphere has an inner radius, R1=5cm, and an outer radius,
R2=6cm. 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 220 nm, resulting in the emission of photoelectrons. The work function of the metal is 4.70 eV.

(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=4*10^-12C, 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,
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 = 4×102C, 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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