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Question
The work function of a metal is 4.2 eν. If radiations of 2000oA fallon the metal, then the kinetic energy of the fastest photoelectron is
The work function of a metal is 4.2 eν. If radiations of 2000oA fallon the metal, then the kinetic energy of the fastest photoelectron is
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Solution
The correct option is C
We know from Einstein's photoelectron equation,
KE = [Energy of radiation - Work function]
= [hν − hν0] = [hc−1 − 4.ev]
= [6.625 × 10−34Js × 3 × 108m2000 × 10−10m − 4.2 × 1.602 × 10−19]
= (9.9 × 10−19J) − (6.7 × 10−19J)
= 3.2 × 10−19J
We know from Einstein's photoelectron equation,
KE = [Energy of radiation - Work function]
= [hν − hν0] = [hc−1 − 4.ev]
= [6.625 × 10−34Js × 3 × 108m2000 × 10−10m − 4.2 × 1.602 × 10−19]
= (9.9 × 10−19J) − (6.7 × 10−19J)
= 3.2 × 10−19J
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