An isolated conducting sphere of radius 5.0 cm has work function 2.0 eV. It is illuminated continuously with monochromatic radiation of wavelength 300 nm. As photoelectrons escape, the sphere becomes positively charged, and emission eventually stops when even the fastest photoelectrons can no longer escape. Take hc = 1240 eV·nm, 1 ÷ (4πε₀) = 9×10⁹ N·m²·C⁻² and e = 1.6×10⁻¹⁹ C. If the number of electrons emitted before photoemission stops is approximately N×10⁷, find N to the nearest integer.
Physics · Photoelectric effect and dual nature of matter · question based on photoelectric effect
An isolated conducting sphere of radius 5.0 cm has work function 2.0 eV. It is illuminated continuously with monochromatic radiation of wavelength 300 nm. As photoelectrons escape, the sphere becomes positively charged, and emission eventually stops when even the fastest photoelectrons can no longer escape. Take hc = 1240 eV·nm, 1 ÷ (4πε₀) = 9×10⁹ N·m²·C⁻² and e = 1.6×10⁻¹⁹ C. If the number of electrons emitted before photoemission stops is approximately N×10⁷, find N to the nearest integer.