If photons of frequency v are incident on the surfaces of metals. A & B of threshold frequencies v/2 and v/3 respectively, the ratio of the maximum kinetic energy of electrons emitted from A to that from B is
(a) 2:3
(d)1:3
(c) 3:4
(b) √3:√2
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Answer:
2:3
Explanation:
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Answer:
Given :
Frequency of photons , v .
Threshold frequency of metal A & B of threshold frequencies v/2 and v/3 respectively.
We need to find the ratio of the maximum kinetic energy of electrons emitted from A to that from B.
We know , K.E is given by :
K.E=h\nu-h\nu_oK.E=hν−hνo { Here \nu_oνo is threshold frequency }
So , Kinetic energy of object A , K.E_A=h\nu-h\dfrac{\nu}{2}=\dfrac{h\nu}{2}K.EA=hν−h2ν=2hν .
Kinetic energy of object A , K.E_B=h\nu-h\dfrac{\nu}{3}=\dfrac{2h\nu}{3}K.EB=hν−h3ν=32hν .
Dividing them we get there ration as :
3 : 4 .
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