A photon of energy h v is absorbed by a free electron of a metal having work-function $ϕ < h v .$ Choose th correct option(s).

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Number of electrons coming out depends o magnitude of v

The electron is sure to come out with a kinetic energy $h v - ϕ$

Either the electron does not come out or it comes out with a kinetic energy $h v - ϕ$

It may come out with a kinetic energy less than and equal to $h v - ϕ$

answer is D.

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Detailed Solution

When a photon's energy exceeds the work function ( $ϕ$ ), the electron absorbs the extra energy as kinetic energy. Consequently, the highest kinetic energy is

${KE}_{max} = h v - ϕ$ . As a result, choice (D).

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