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  • Two radiations of photons energies and , successively&

Two radiations of photons energies 1 \mathrm{eV} and 2.5 \mathrm{eV}, successively illuminate a photosensitive metallic surface of work function 0.5 \mathrm{eV}. The ratio of the maximum speeds of the emitted electrons is
 

Option: 1

1:4


Option: 2

1:2


Option: 3

1:1


Option: 4

1:5


Answers (1)

best_answer

According to Einstein's photoelectric effect, the K.E. of the radiated electrons
\begin{aligned} & \mathrm{KE}_{\max }=\mathrm{E}-\mathrm{W} \\ & \frac{1}{2} \mathrm{mv}_1^2=(1-0.5) \mathrm{eV}=0.5 \mathrm{eV} \\ & \frac{1}{2} \mathrm{mv}_2^2=(2.5-0.5) \mathrm{eV}=2 \mathrm{eV} \\ & \frac{\mathrm{v}_1}{\mathrm{v}_2}=\sqrt{\frac{0.5}{2}}=\frac{1}{\sqrt{4}}=\frac{1}{2} \end{aligned}

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Ritika Jonwal

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