The work functions of Aluminium and Gold are | 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 of emitted photoelectrons is given by $K_{\max} = hf - \phi$,where $h$ i

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(C) According to Einstein's photoelectric equation,the maximum kinetic energy of emitted photoelectrons is given by $K_{\max} = hf - \phi$,where $h$ is Planck's constant,$f$ is the frequency of incident radiation,and $\phi$ is the work function of the metal.Since $K_{\max} = eV_s$,where $V_s$ is the stopping potential,we can write: $eV_s = hf - \phi$.Rearranging this for the stopping potential,we get: $V_s = (h/e)f - (\phi/e)$.This equation is in the form of a straight line $y = mx + c$,where the slope $m = h/e$.Since $h$ (Planck's constant) and $e$ (charge of an electron) are universal constants,the slope of the stopping potential versus frequency plot is independent of the nature of the metal.Therefore,the slope for Gold and Aluminium is the same.The ratio of the slopes is $1:1$,which is $1$.

The work functions of Aluminium and Gold are $4.1\,eV$ and $5.1\,eV$ respectively. The ratio of the slope of the stopping potential versus frequency plot for Gold to that of Aluminium is $.......$

Similar Questions

The figure shows different graphs between stopping potential $(V_0)$ and frequency $(\nu)$ for photosensitive surfaces of cesium,potassium,sodium,and lithium. The plots are parallel. The correct ranking of the targets according to their work function,with the greatest first,is:

Light of frequency $4 \times 10^{14} \,Hz$ is incident on a metal surface of work function $2.14 \,eV$, resulting in photoemission of electrons. The maximum kinetic energy of the emitted electrons is $\left[h=6.63 \times 10^{-34} \,J-s\right]$ (in $\,eV$)

The threshold wavelength of tungsten is $2300 \, \mathring{A}$. If ultraviolet light of wavelength $1800 \, \mathring{A}$ is incident on it,then the maximum kinetic energy of photoelectrons would be about ............ $eV$.

Two photons with energies three times and nine times the work function of a metal surface are incident on it. What is the ratio of the maximum velocities of the photoelectrons emitted in the two cases?

Photons of wavelength $\lambda$ emitted by a source of power $P$ are incident on a photocell. If the current produced in the cell is $I$,then the percentage of incident photons which produce current in the photocell is: (where $h$ is Planck's constant and $c$ is the speed of light in vacuum)

Vedclass Test Series

Exam Paper Generator

Online Exam Module