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Question

Question: A photo cell is receiving light from a source placed at a distance of 1 *m.* If the same source is t...

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

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

Answer

Will be one-fourth in number

Explanation

Solution

Number of photons ∝ Intensity ∝ 1( distance )2\frac { 1 } { ( \text { distance } ) ^ { 2 } }

N1N2=(d2d1)2\frac { N _ { 1 } } { N _ { 2 } } = \left( \frac { d _ { 2 } } { d _ { 1 } } \right) ^ { 2 }N2=N14N _ { 2 } = \frac { N _ { 1 } } { 4 }.