A beam of light of wavelength lambda falls on | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) According to Einstein's photoelectric equation, the maximum kinetic energy $K$ of the emitted electrons is given by:$K = \frac{hc}{\lambda} - \phi

Vedclass · Accepted Answer

Vedclass · Answer

(C) According to Einstein's photoelectric equation, the maximum kinetic energy $K$ of the emitted electrons is given by:$K = \frac{hc}{\lambda} - \phi$When an electron of charge $q$ and mass $m$ moves perpendicular to a magnetic field $B$, it follows a circular path of radius $R$ given by:$R = \frac{mv}{qB} = \frac{\sqrt{2mK}}{qB}$Squaring both sides, we get:$R^2 = \frac{2mK}{q^2 B^2}$Rearranging for $B^2$:$B^2 = \frac{2mK}{q^2 R^2}$Substituting the expression for $K$:$B^2 = \frac{2m}{q^2 R^2} \left( \frac{hc}{\lambda} - \phi \right)$$B^2 = \left( \frac{2mhc}{q^2 R^2} \right) \frac{1}{\lambda} - \left( \frac{2m\phi}{q^2 R^2} \right)$This is an equation of a straight line of the form $y = mx + c$, where $y = B^2$, $x = \frac{1}{\lambda}$, slope $m = \frac{2mhc}{q^2 R^2}$ (positive), and intercept $c = -\frac{2m\phi}{q^2 R^2}$ (negative).Thus, the graph is a straight line with a positive slope and a negative y-intercept. This corresponds to Graph $C$.

Similar Questions

If the frequency of light in a photoelectric experiment is doubled,the stopping potential will

When a metallic surface is illuminated with radiation of wavelength $\lambda$,the stopping potential is $V$. If the same surface is illuminated with radiation of wavelength $3 \lambda$,the stopping potential is $V/4$. The threshold wavelength for the metallic surface is.

When light of frequencies ${\nu _1}$ and ${\nu _2}$ $({\nu _1} > {\nu _2})$ is incident on a metal surface,the ratio of the maximum kinetic energy of the emitted photoelectrons is $1:k$. What is the threshold frequency of the metal?

The frequency and the intensity of a beam of light falling on the surface of a photoelectric material are both increased by a factor of two. This will:

From the figure describing the photoelectric effect,we may infer correctly that:

Vedclass Test Series

Exam Paper Generator

Online Exam Module