Draw a graph between the frequency (ν) and the maximum kinetic energy of the electrons emitted from the surfac

Question 31 of 42

Q. Draw a graph between the frequency (ν) and the maximum kinetic energy of the electrons emitted from the surface of a photosensitive material. State clearly how this graph can be used to determine the

(i) Planck's constant and

(ii) Work function of the material. OR Draw a graph showing the variation of photoelectric current with collector plate potential for two different frequencies ν1 and ν2, ν2 > ν1 of incident radiation having the same intensity. In which case will the stopping potential be higher? Justify your answer by using Einstein's photoelectric equation.

West Bengal WbchseWest Bengal HS (WBCHSE) Board 2022Subjective· 3mImportance★★★★★

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Figure — A straight-line graph of maximum photoelectron kinetic energy KEmax (y-axis) versus frequency nu of

Einstein's photoelectric equation $K_{max}=h\nu-\phi_0$ is a straight-line equation in $\nu$ vs $K_{max}$ ; its slope gives $h$ and its intercepts give $\phi_0$ / $\nu_0$ .

Einstein's photoelectric equation:

$K_{max} = h\nu - \phi_0 = h\nu - h u_0$

where $\nu_0$ is the threshold frequency of the metal.

Plotting $K_{max}$ (y-axis) against $\nu$ (x-axis) gives a straight line of the form $y=mx+c$ , with:

Slope $= h$ : measuring the slope of the line directly gives the value of Planck's constant, independent of which metal is used (all metals give parallel lines).
x-intercept (where $K_{max}=0$ ) $=\nu_0$ , the threshold frequency. …

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Same / Similar Concept — real previous-year questions on the same or a closely similar concept, not this exact question.

CBSE 2024Set ANNUAL1 markMCQ
$Q. The magnitude of saturation of photoelectric current depends upon$
(a) frequency
(b) stopping potential
(c) work function
(d) intensity of light.
›Reveal solutionSolution

Saturation current counts the total number of photoelectrons emitted per second, which is set by how many photons strike the metal per second — i.e. the intensity of light, not its frequency.

In the photoelectric effect, when the collector plate is made sufficiently positive, ALL photoelectrons ejected from the metal surface are collected, and the photocurrent reaches a maximum, constant value called the saturation current — increasing the collector voltage further does not increase it any more.

…

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CBSE 2023Set ANNUAL1 markMCQ
$Q. The slope of the graph between frequency of incident light and stopping potential for a given metal surface will be$
(a) h
(b) eh
(c) h/e
(d) e
›Reveal solutionSolution

Einstein's photoelectric equation rearranged in terms of stopping potential is linear in frequency with slope h/e.

Einstein's photoelectric equation is $h\nu = \phi_0 + eV_0$ , where $V_0$ is the stopping potential and $\phi_0$ the work function. Rearranging for $V_0$ :

$V_0 = \dfrac{h}{e}\nu - \dfrac{\phi_0}{e}$

…

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CBSE 2016Set ANNUAL1 markMCQ
$Q. For a monochromatic light incident on a metal surface, the maximum velocity of the emitted photoelectrons is v. Then the stopping potential would be$
(a) 2mv²/e
(b) mv²/e
(c) mv²/2e
(d) mv²/√2e
›Reveal solutionSolution

The stopping potential is the potential that just stops the fastest photoelectrons, found by equating eV0 to their maximum kinetic energy.

The stopping potential V0 is defined by the condition that the retarding field decelerates even the most energetic photoelectrons (of maximum speed v) to rest just before they reach …

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Q.Draw a graph between the frequency (ν) and the maximum kinetic energy of the electrons emitted from the surface of a photosensitive material. State clearly how this graph can be used to determine the

Concept understanding — Photoelectric Current, Stopping Potential and the Experimental Graphs

Q.Draw a graph between the frequency (ν) and the maximum kinetic energy of the electrons emitted from the surface of a photosensitive material. State clearly how this graph can be used to determine the

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