(D) According to Einstein's photoelectric equation: $h\nu = e V_0 + \phi$,where $\phi$ is the work function.This can be written as: $\frac{hc}{\lambda

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(D) According to Einstein's photoelectric equation: $h\nu = e V_0 + \phi$,where $\phi$ is the work function.This can be written as: $\frac{hc}{\lambda} = e V_0 + \phi$ --- $(i)$For the second source: $\frac{hc}{\lambda'} = e V'_0 + \phi$ --- (ii)Subtracting equation $(i)$ from (ii):$e(V'_0 - V_0) = hc \left( \frac{1}{\lambda'} - \frac{1}{\lambda} \right)$Using $hc \approx 12400 \ eV \cdot \mathring{A}$:$V'_0 - V_0 = \frac{12400}{4272} - \frac{12400}{6402} \approx 2.902 - 1.937 = 0.965 \ V$$V'_0 = 0.965 + 0.54 = 1.505 \ V \approx 1.51 \ V$.

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

Difficult

$A$ photosensitive surface made of cesium on tungsten is irradiated by monochromatic radiation of wavelength $640.2 \ nm$ $(1 \ nm = 10^{-9} \ m)$ from a neon bulb. The measured stopping potential is $0.54 \ V$. If the source is replaced by another source and the same photocell is irradiated by a line of $427.2 \ nm$,what will be the new stopping potential in $V$?

A
$2.10$
B
$0.90$
C
$1.80$
D
$1.51$

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Class 12

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Chapter

Dual Nature of Radiation and matter

Subtopic

Einstein's Photoelectric Equation and Energy Quantum of Radiation

Two streams of photons,possessing energies equal to twice and ten times the work function of a metal,are incident on the metal surface successively. The ratio of the maximum velocities of the photoelectrons emitted in the two respective cases is $x:y$. The value of $x$ is ...... .

DifficultJEE MAIN 2021

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The work function of a photosensitive metal surface is $1.1 \ eV$. Two light beams of energies $1.5 \ eV$ and $2 \ eV$ are incident on the metal surface. The ratio of the maximum velocities of the emitted photoelectrons is

MediumTS EAMCET 2024

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$A$ photoelectric surface is illuminated successively by monochromatic light of wavelength $\lambda$ and $\lambda /2$. If the maximum kinetic energy of the emitted photoelectrons in the second case is $3$ times that in the first case,the work function of the surface of the material is
$(h =$ Planck's constant,$c =$ speed of light $)$

DifficultAIPMT 2015

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Two identical photocathodes receive light of frequencies $v_1$ and $v_2$. If the velocities of the photoelectrons (of mass $m$) coming out are $v_1$ and $v_2$ respectively,then:

Difficult

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$A$ silver ball is suspended by a string in a vacuum chamber and ultraviolet light of wavelength $200 \ nm$ is incident on it. The maximum potential acquired by the ball,if the work function of silver is $4.7 \ eV$,will be .............. $V$.

Medium

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Two streams of photons,possessing energies equal to twice and ten times the work function of a metal,are incident on the metal surface successively. The ratio of the maximum velocities of the photoelectrons emitted in the two respective cases is $x:y$. The value of $x$ is ...... .

The work function of a photosensitive metal surface is $1.1 \ eV$. Two light beams of energies $1.5 \ eV$ and $2 \ eV$ are incident on the metal surface. The ratio of the maximum velocities of the emitted photoelectrons is

Two identical photocathodes receive light of frequencies $v_1$ and $v_2$. If the velocities of the photoelectrons (of mass $m$) coming out are $v_1$ and $v_2$ respectively,then:

$A$ silver ball is suspended by a string in a vacuum chamber and ultraviolet light of wavelength $200 \ nm$ is incident on it. The maximum potential acquired by the ball,if the work function of silver is $4.7 \ eV$,will be .............. $V$.

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