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Radiations of two different frequencies whose photon energies are 3.4 eV and 8.2 eV successively illuminate a metal surface whose work function is 1.8eV. The ratio of the maximum speeds of the emitted electrons will be

a
1 : 1
b
1 : 2
c
1 : 3
d
1 : 4

detailed solution

Correct option is B

12mv2=E−w vαE−w v1:v2=E1−w:E2−w            =3.4−1.8:8.2−1.8=1.6:6.4            =1:4            =1:2

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