A cesium photocell, with a steady potential difference of $60 v o l t$ across it, is illuminated by a small bright light placed $50 c m$ away. When the same light is placed one meter away the electrons crossing the photocell-

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Are one quarter as numerous

Each carry one quarter of their previous momentum

Each carry one quarter of their previous energy

Are half as numerous

answer is D.

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Detailed Solution

The intensity of light (I), after being moved from 50 cm to 100 cm, becomes ${(\frac{50}{100})}^{2}$ or $\frac{1}{4}$ th of its previous value. Therefore the number of electrons emitted per second (n) also becomes $\frac{1}{4} t h$ of its previous value as n is proportional to I.

There is no change in the energy or momentum of the emitted electrons as they depend on frequency of incident light and are independent of intensity.

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