Dual Nature Of Light Question 257

Question: A photo cell is receiving light from a source placed at a distance of 1 m. If the same source is to be placed at a distance of 2 m, then the ejected electron [MNR 1986; UPSEAT 2000, 01]

Options:

A) Moves with one-fourth energy as that of the initial energy

B) Moves with one-fourth of momentum as that of the initial momentum

C) Will be half in number

D) Will be one-fourth in number

Show Answer

Answer:

Correct Answer: D

Solution:

Number of ejected electrons $ \propto \text{(Intensity)}\propto \frac{1}{{{(Distance)}^{2}}} $ Therefore an increment of distance two times will reduce the number of ejected electrons to $ \frac{1}{4}th $ of the previous one.