A photon of energy ‘2’ ev is incident on a metal, The minimum de-Broglie wave length of the emitted electrons is λ. When the wave length of the incident radiation is reduced by 60% the minimum de-Broglie wave length of the emitted electrons is λ2 The work function of the metal is
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a
1.0 ev
b
0.5 ev
c
0.75 ev
d
1.5 ev
answer is A.
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Detailed Solution
if de Broglie wavelength becomes halved momentum becomes doubled and kinetic energy becomes 4 times and if incident wavelength decreases by 60% it means it becomes 40% λ becomes 410λ frequency becomes 104ν Eienstein equation hν =w+k----1 second time h 104ν = w+4k----2 solving w=0.5 hν here hν= 2ev