Einstein's Explanation of Photoelectric Effect : Photoelectric Equation

Draw a graph showing variation of photocurrent with the anode potential of a photocell.

For the photoelectric effect in a metal, Figure shows the plot of cut-off voltage versus frequency of incident radiation. Determine the threshold frequency, 

The threshold wavelength of tungsten is $2400\stackrel{\circ }{\mathrm{A}}$. When tungsten is illuminated with light of wavelength $1600\stackrel{\circ }{\mathrm{A}}$,Find maximum kinetic energy of the emitted electron,

Plot a graph showing the variation of stopping potential with the frequency of incident radiation for the different photosensitive materials having work functions ${\mathrm{W}}_1$ and ${\mathrm{W}}_2$ $\left({\mathrm{W}}_1>{\mathrm{W}}_2\right).$ On what factors does the slope and the intercept of the line depend?

Using Einstein's photoelectric equation show how the cutoff voltage and threshold frequency for a given photosensitive material can be determined with the help of a suitable plot.

The number of photons of frequency $v$ present in energy $E$ is:

The idea of the quantum nature of light has emerged in an attempt to explain

Light of wavelength ${\mathrm{\lambda }}_{\mathrm{A}}$ and ${\mathrm{\lambda }}_{\mathrm{B}}$ falls on two identical metal plates A and B respectively. The maximum kinetic energy of photoelectrons in ${\mathrm{K}}_{\mathrm{A}}$ and ${\mathrm{K}}_{\mathrm{B}}$ respectively, then which one of the following relations is true? $\left({\mathrm{\lambda }}_{\mathrm{A}}=2{\mathrm{\lambda }}_{\mathrm{B}}\right)$

Pick out the correct form of the Einstein photoelectric equation.

Calculate the difference between kinetic energies of photo-electrons emitted by radiations of wavelength $3000 \mathrm{A}°$ and $6000 \mathrm{A}°$.

Photoelectric effect takes place in element $A$. Its work function is $2.5 \mathrm{eV}$ and threshold wavelength is $\lambda$. Another element $B$ has work function of $5 \mathrm{eV}$. Then, find out the wavelength that can produce photoelectric effect in $B$.

If the speed of photoelectrons is ${10}^{4 }\mathrm{m}{\mathrm{s}}^{-1}$, what should be the frequency of incident radiation on the potassium metal? Work function of potassium $=2.3 \mathrm{e}\mathrm{V}$. Take, mass of electron, $m =9.1\times {10}^{-31} \mathrm{kg}$, $h = 6.62\times {10}^{-34} \mathrm{Js}$

Light of wavelength $5000 \mathrm{\AA }$ falls on a metal surface of work function $2.01 \mathrm{e}\mathrm{V}$. Find the kinetic energy of photoelectrons. Take: $h = 6.62\times {10}^{-34} \mathrm{Js}, c = 3\times {10}^8 \mathrm{m}/\mathrm{s}$

Monochromatic radiation of wavelength $640.2 \mathrm{nm} (1 \mathrm{nm}={10}^{-9} \mathrm{m})$ from a neon lamp irradiates photosensitive material made of caesium on tungsten. The stopping voltage is measured to be $0.54 \mathrm{V}$. The source is replaced by an iron source and its $427.2 \mathrm{nm}$ line irradiates the same photo-cell. Predict the new stopping voltage.