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  • A photosensitive metallic surface has work function,  . If photons of energy <img alt="2h\nu _{0}

A photosensitive metallic surface has work function, h\nu _{0} . If photons of energy 2h\nu _{0} fall on this surface, the electrons come out with a maximum velocity of 4\times 10^{6}m/s. When the photon energy is increased to 5h\nu _{0} , then maximum velocity of photoelectrons will be –

Option: 1

2 \times 10^{7} m/s


Option: 2

8 \times 10^{6} m/s


Option: 3

2 \times 10^{6} m/s


Option: 4

8 \times 10^{5} m/s


Answers (1)

best_answer

\begin{aligned} & \frac{\frac{1}{2} \mathrm{mv}_1^2}{\frac{1}{2} \mathrm{mv}_2^2}=\frac{\mathrm{K}_1}{\mathrm{~K}_2}=\frac{\mathrm{h} \mathrm{v}_1-\phi}{\mathrm{h} \mathrm{v}_2-\phi}=\frac{2 \mathrm{h} v_0-\mathrm{h} v_0}{5 \mathrm{~h} v_0-\mathrm{h} v_0}=\frac{1}{4} \\ & \Rightarrow \frac{\mathrm{v}_1^2}{\mathrm{v}_2^2}=\frac{1}{4} \Rightarrow \mathrm{v}_2=2 \mathrm{v}_1=8 \times 10^6 \mathrm{~m} / \mathrm{s} \end{aligned}

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Deependra Verma

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