Two stream of photons, possessing energies equal to twice and ten times the work function of metal are incident on the

Question:

Two stream of photons, possessing energies equal to twice and ten times the work function of metal are incident on the

metal surface successively. The value of ratio of maximum velocities of the photoelectrons emitted in the two respective

cases is $\mathrm{x}: \mathrm{y}$. The value of $\mathrm{x}$ is

Solution:

(1)

Forphotoelectric effectk. $\mathrm{E}_{\max }=\mathrm{E}-\phi$

$\mathrm{E}_{1}=2 \phi_{r} \quad \mathrm{k}_{1}=\phi$

$\mathrm{E}_{2}=10 \phi_{r} \quad \mathrm{k}_{2}=9 \phi$

$\therefore V \propto \sqrt{k} \quad\left(k=\frac{1}{2} m v^{2}\right)$

$\frac{v_{1}}{v_{2}}=\sqrt{\frac{1}{9}} \Rightarrow \frac{1}{3}=\frac{x}{y}$

$\mathrm{x}=1$

 

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now