Final answer:
The kinetic energy of photoelectrons in the photoelectric effect is proportional to the frequency of the incident light above the threshold frequency and is given by the formula KE = h(v - v0), making option (b) the correct answer.
Step-by-step explanation:
The question posed relates to the phenomenon known as the photoelectric effect, where light of a certain frequency, v, when incident upon a photosensitive surface with a threshold frequency, v0, results in the emission of electrons. According to the theory proposed by Albert Einstein, which built upon Planck's quantum hypothesis, the kinetic energy (KE) of the emitted photoelectrons is directly proportional to the frequency of the incident light. Specifically, the kinetic energy is given by KE = h(v - v0), where h is Planck's constant.
Therefore, as the frequency of the incident light increases above the threshold frequency, the kinetic energy of the emitted electrons increases linearly with the frequency. This relationship stands in contrast to classical physics predictions, which did not account for the threshold frequency and predicted that kinetic energy would solely depend on the intensity, not the frequency, of light.
From the options given, the correct answer to the question of what the value of kinetic energy of the emitted photoelectrons is (b) Proportional to v - v0.