Question

For the radiation of a frequency greater than the threshold frequency, photoelectric current is proportional to the intensity of the radiation.

Reason (R): Greater the number of energy quanta available, greater is the number of electrons absorbing the energy quanta, and greater is the number of electrons coming out of the metal.

Options:
a. Both statement and reason are true, and the reason is the correct explanation of the statement.
b. Both statement and reason are true, but the reason is not the correct explanation of the statement.
c. Statement is true, but the reason is false.
d. Statement is false, but the reason is true.

Answer 1

Correct option (a): Both statement and reason are true, and the reason is the correct explanation of the statement.

Both the statement and reason regarding the proportionality of photoelectric current to the intensity of radiation above the threshold frequency are true, and the reason is the correct explanation.

Step-by-step explanation:

The correct answer is option (a): Both statement and reason are true, and the reason is the correct explanation of the statement.

If the frequency of incoming radiation is greater than the threshold frequency, the number of electrons emitted is proportional to the intensity of the radiation, which in turn is proportional to the number of photons per unit area per unit time.

As the intensity of the radiation increases, more photons strike the metal surface per unit time, and thus, there is a higher probability that more electrons will absorb these photons, leading to a greater number of electrons being ejected.

The photoelectric current, which is the flow of these ejected electrons, is therefore 'proportional' to the radiation's intensity above the threshold frequency, as more ejected electrons result in a higher