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Dual Nature of Radiation and Matter question

2007 · Q124
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Dual Nature of Radiation and Matter question

2007 · Q124

NEETPhysicsDual Nature of Radiation and MatterMCQ+4 / −1
A 5 watt source emits monochromatic light of wavelength 5000 A∘\mathop A\limits^ \circA∘​. When placed 0.5 m away, it liberates photoelectrons from a photosensitive metallic surface. When the source is moved to a distance of 1.0 m, the number of photoelectrons liberated will be reduced by a factor of
  1. A
    8
  2. B
    16
  3. C
    2
  4. D
    4
View written solutionFree

Correct answer: D

For a light source of power P watt, the intensity at a distance d is given by

I = P4πd2{P \over {4\pi {d^2}}}4πd2P​

∴\therefore∴ No. of photoelectrons or intensity ∝\propto∝ 1(distan⁡ce)2{1 \over {{{\left( {dis\tan ce} \right)}^2}}}(distance)21​

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