Physics Electron, Photon, Photoelectric Effect and X-rays NEET Previous Year Question - Dule Nature of Radiation MCQ (Single Correct)

A 5 watt source emits monochromatic light of wavelength 5000Å. When placed 0.5 away, it liberates photoelectrons from a photosensitive metallic surface. When the source is moved to a distance of 1.0 , the number of photoelectrons liberated will be reduced by a factor of

A
8
B
16
C
2
D
4

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The correct answer is:
D

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

where we assume light to spread out uniformly in all directions i.e., it is a spherical source.

or

or,

or, or,

In a photoelectric emission, the number of photoelectrons liberated per second from a photosensitive metallic surface is proportional to the intensity of the light. When a intensity of source is reduced by a factor of four, the number of photoelectrons is also reduced by a factor of 4.

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