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Solve this question JEE mains 2018 .
Surface of certain metal illuminated with light of wavelength L1 = 350nm and then by light of wavelength ,L2 = 540nm . if Is found that the maximum speed of the photo Electrons in the two cases differ by a factor of 2.The work function of the metal (in ev) I'd close to ?
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3
Answer:
1.88
Explanation :-
Given that surface of metal is first illuminated with light of wavelength L1 = 350nm and then L 2 = 540nm . it is found that the maximum speed of photo Electrons In the two cases differ by 2
so first of all let the L1 wavelength' light has speed V
And , E1 = 1240/350ev
E2'= 1240/540ev
so that , L2 wavelength's light will be 2v
Now, according to Einstein photoelectric equation .
E - ¢ = 1/2Mv²
E1- ¢ = 1/mv² _________(1)
E2 - ¢ = 1/2m(2v)² _________(2)
Dividing (1) to (2)
We get,
E1-¢ /E2-¢ = 4
E1-¢ = 4E2 - 4¢
¢ = 4E2 - E1/3
= 1240(4/540-1/350) = 1.88 ev Answer
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