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A light source when kept at a distance of 1 m from the photocell, ejects N electrons. If the same source is kept at a distance of 4 m, then the number of ejected electrons will be
1. decreased by \(\frac{1}{4}\) times
2. increased by 8 times
3. decreased by \(\frac{1}{16}\) times
4. increased by 4 times

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Correct Answer - Option 3 : decreased by \(\frac{1}{16}\) times

The correct answer is option 3) i.e. decreased by \(\frac{1}{16}\) times

CONCEPT:

  • Photocell:  A photocell is used as a resistor that varies its resistance when light is incident on it. The energy of photons of incident light causes the emission of electrons thereby, decreasing the resistance.
    • It converts light energy into electrical energy.
    • It works on the principle of the photoelectric effect.

The intensity of ejected electrons in a photocell (n) depends on its distance from the source of light (d) as follows:

n ∝ \(\frac{1}{d^2}\)

EXPLANATION:

The number of ejected electrons when the distance between the source and photocell is 1 m,

 \(N = \frac{1}{1^2} = 1\)

The number of ejected electrons when the distance between the source and photocell is 4 m,

\(N' = \frac{1}{4^2} = \frac{1}{16} = \frac{N}{16}\)

Therefore, the number of electrons ejected will be decreased by \(\frac{1}{16}\) times​.

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