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A photon of energy 4 eV is incident on a...

A photon of energy `4 eV` is incident on a metal surface whose work function is `2 eV`. The minimum reverse potential to be applied for stopping the emission of electrons is

A

2V

B

4V

C

6V

D

8V

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The correct Answer is:
A

When stopping potential is applied no electron will reach the cathode and the current will becomes zero
`therefore eV_(0)=(1)/(2)mv_max^(2)`
Also,`(1)/(2)mv_(max)^(2)`=hv-work fuction,
4 eV-2eV=2eV
`implieseV_(0)=2 eVimplies` stopping potential=2 V.
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