When a certain photosensitive surface is illu | vedclass

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

Question

(D) According to Einstein's photoelectric equation,the stopping potential $V_s$ is related to the frequency $v$ by the equation: $eV_s = hv - \phi$,wh

Vedclass · Accepted Answer

$3v/2$

Vedclass · Answer

(D) According to Einstein's photoelectric equation,the stopping potential $V_s$ is related to the frequency $v$ by the equation: $eV_s = hv - \phi$,where $\phi = hv_0$ is the work function and $v_0$ is the threshold frequency.For the first case: $e(V_0/2) = hv - \phi$  ..... $(1)$For the second case: $e(V_0) = h(v/2) - \phi$  ..... $(2)$Note: The stopping potential is given as negative,which indicates the magnitude of the potential required to stop the electrons. Thus,$eV_s = h(v - v_0)$.From $(1)$: $eV_0/2 = hv - hv_0 \Rightarrow eV_0 = 2hv - 2hv_0$From $(2)$: $eV_0 = hv/2 - hv_0$Equating the two expressions for $eV_0$:$2hv - 2hv_0 = hv/2 - hv_0$$2hv - hv/2 = 2hv_0 - hv_0$$3hv/2 = hv_0$$v_0 = 3v/2$.

Similar Questions

The graph of maximum kinetic energy $(K.E._{max})$ against the frequency $(\nu)$ of incident light is as shown in the figure. The slope of the graph and the intercept on the $X$-axis respectively are:

When light of wavelength '$\lambda$' is incident on a photosensitive surface, the stopping potential is '$V$'. When a light of wavelength $1.5\lambda$ is incident on the same surface, the stopping potential is '$\frac{V}{4}$'. Threshold wavelength for the surface is

In the graph of maximum kinetic energy of photoelectrons emitted from a metal surface versus the frequency of incident radiation based on Einstein's photoelectric equation,the slope is .......

For the photoelectric effect with incident photon wavelength $\lambda$,the stopping potential is $V_0$. Identify the correct variation$(s)$ of $V_0$ with $\lambda$ and $1/\lambda$.

Light of frequency $v$ falls on a material of threshold frequency $v_0$. Maximum kinetic energy of emitted electron is proportional to

Vedclass Test Series

Exam Paper Generator

Online Exam Module