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Lights of two different frequencies, whose photons have energies 1eV and 2.5eV respectively, successively illuminate a metal whose work function is 0.5eV. The ratio of the maximum speeds of the emitted electrons will be

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a
1:5
b
1:4
c
1:2
d
1:1

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detailed solution

Correct option is C

Einstein equation KEmax=E− Work function; ⇒12mv2=E−W∴12mV12max12 mV22max=1−0.52.5−0.5=14 ⇒ V1maxV2max=12

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