(B) Given: Work function $\phi = 4.5\,eV$,Wavelength $\lambda = 200\,nm$.Energy of incident photon $E = \frac{hc}{\lambda} = \frac{1240\,eV\cdot nm}{2

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The maximum kinetic energy of the photoelectrons reaching the collector is $3.7\,eV$.

(B) Given: Work function $\phi = 4.5\,eV$,Wavelength $\lambda = 200\,nm$.Energy of incident photon $E = \frac{hc}{\lambda} = \frac{1240\,eV\cdot nm}{200\,nm} = 6.2\,eV$.Maximum kinetic energy of emitted photoelectrons $K_{max} = E - \phi = 6.2\,eV - 4.5\,eV = 1.7\,eV$.The collector plate is at a potential of $+2.0\,V$ relative to the emitter,meaning it accelerates the electrons.The minimum kinetic energy of electrons reaching the collector is $K_{min} = K_{initial} + qV = 0 + 2.0\,eV = 2.0\,eV$.The maximum kinetic energy of electrons reaching the collector is $K_{max}' = K_{max} + qV = 1.7\,eV + 2.0\,eV = 3.7\,eV$.Thus,option $B$ is correct.

Class 12 Physics Dual Nature of Radiation and Matter Einstein's Photoelectric Equation and Energy Quantum of Radiation

Difficult

In a photoelectric experiment,the collector plate is at $2.0\,V$ with respect to the emitter plate made of copper $(\phi = 4.5\,eV)$. The emitter is illuminated by a source of monochromatic light of wavelength $200\,nm$.

A
The minimum kinetic energy of the photoelectrons reaching the collector is $0$.
B
The maximum kinetic energy of the photoelectrons reaching the collector is $3.7\,eV$.
C
If the polarity of the battery is reversed,then the answer to part $A$ will be $0$.
D
If the polarity of the battery is reversed,then the answer to part $B$ will be $1.7\,eV$.

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Dual Nature of Radiation and Matter

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Einstein's Photoelectric Equation and Energy Quantum of Radiation

The graph shows the variation of stopping potential $V_o$ with the frequency $\nu$ of the incident radiation for three photosensitive metals $X_1, X_2$ and $X_3$. Which metal will emit photoelectrons with greater kinetic energy, for the same wavelength of incident radiation?

MediumJEE MAIN 2026

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When a photosensitive material is illuminated by photons of energy $3.1 \ eV$,the stopping potential of the photoelectrons is $1.7 \ V$. When the same photosensitive material is illuminated by photons of energy $2.5 \ eV$,the stopping potential of the photoelectrons is: (in $V$)

MediumTS EAMCET 2025

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The work functions of metals $A$ and $B$ are in the ratio $1 : 2$. If light of frequencies $f$ and $2f$ are incident on the surfaces of $A$ and $B$ respectively,the ratio of the maximum kinetic energy of photoelectrons emitted will be ($f$ and $2f$ are both frequencies greater than the threshold frequency of metals $A$ and $B$).

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$A$ photon of energy $E$ ejects photoelectrons from a metal surface whose work function is $W_0$. If this electron enters into a uniform magnetic field with induction $B$ in a direction perpendicular to the field and describes a circular path of radius $r$,then the radius is given by

DifficultMHT CET 2022

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The work functions for metals $A, B$,and $C$ are $1.92 \ eV, 2.0 \ eV$,and $5 \ eV$ respectively. According to Einstein's photoelectric equation,which metal$(s)$ will emit photoelectrons when irradiated with light of wavelength $4100 \ \mathring A$?

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In a photoelectric experiment,the collector plate is at $2.0\,V$ with respect to the emitter plate made of copper $(\phi = 4.5\,eV)$. The emitter is illuminated by a source of monochromatic light of wavelength $200\,nm$.

Similar Questions

The graph shows the variation of stopping potential $V_o$ with the frequency $\nu$ of the incident radiation for three photosensitive metals $X_1, X_2$ and $X_3$. Which metal will emit photoelectrons with greater kinetic energy, for the same wavelength of incident radiation?

When a photosensitive material is illuminated by photons of energy $3.1 \ eV$,the stopping potential of the photoelectrons is $1.7 \ V$. When the same photosensitive material is illuminated by photons of energy $2.5 \ eV$,the stopping potential of the photoelectrons is: (in $V$)

$A$ photon of energy $E$ ejects photoelectrons from a metal surface whose work function is $W_0$. If this electron enters into a uniform magnetic field with induction $B$ in a direction perpendicular to the field and describes a circular path of radius $r$,then the radius is given by

The work functions for metals $A, B$,and $C$ are $1.92 \ eV, 2.0 \ eV$,and $5 \ eV$ respectively. According to Einstein's photoelectric equation,which metal$(s)$ will emit photoelectrons when irradiated with light of wavelength $4100 \ \mathring A$?

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