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The distance between a light source and photoelectric cell is d. If the distance is decreased to `(d)/(2)` then

A

the emission of electron per second will be four times

B

maximum kinetic energy of photoelectrons will be four times

C

stopping potential will remain same

D

the emission of electron per second will be doubled

Text Solution

Verified by Experts

The correct Answer is:
A, C

The intensity of light incident on the photoelectric cell,
`I prop (1)/(d^(2))`,
when the distance between the light source and photoelectric cell is d.
Again, number of photoelectrons emitted, `n prop I`
`:. n prop (1)/(d^(2)) or, (n_(2))/(n_(1)) = ((d_(1))/(d_(2)))^(2)`
`or, n_(2) = n_(1) xx ((d_(1))/(d_(2)))^(2) = n_(1) ((d)/((d)/(2)))^(2) = 4n_(1)`
Maximum kinetic energy of photoelectrons,
`E_("max") = eV_(0) = hf - W_(0)`
As the frequency (f) of incident light remains same, so the maximum kinetic energy `(E_("max"))` and stopping potential `(V_(0))` will remain unchanged.
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