Ultraviolet light of wavelength is incident on a clean sodium surface inside a vacuum…

PHYSICS · Multi-part · CBSE · Physics · Dual Nature of Radiation and Matter · Dual Nature of Radiation and Matter

Problem

Ultraviolet light of wavelength 250 nm250\,\text{nm} is incident on a clean sodium surface inside a vacuum chamber. The work function of sodium is 2.28 eV2.28\,\text{eV}. Assume the emitted electrons are non-relativistic. Constants that may be useful: speed of light c=3.00×108 m s−1c = 3.00\times 10^{8}\,\text{m}\,\text{s}^{-1}, elementary charge e=1.60×10−19 Ce = 1.60\times 10^{-19}\,\text{C}, electron mass me=9.11×10−31 kgm_e = 9.11\times 10^{-31}\,\text{kg}, Planck’s constant h=6.63×10−34 J sh = 6.63\times 10^{-34}\,\text{J}\,\text{s}. (a) Determine the maximum kinetic energy of the emitted electrons in both joules and electron-volts. (b) Calculate the maximum speed of the emitted electrons and express your answer to two significant figures.

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