Plotting Stopping Voltage vs. Frequency

In summary, when plotting stopping voltage vs. frequency, the slope is related to Planck's constant and the intercept is related to the work function of the metal. The equation for this relationship is Vs = (h/e)f - (work function/e). This means that the Planck's constant is the slope and the intercept is the work function of the metal. The correct answer is option (a).
  • #1
bravellama
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Homework Statement



Plotting stopping voltage vs. frequency, we expect to find:
a) the slope is related to Planck's constant and the intercept is related to the work function of the metal

b) the slope is related to the work function of the metal and the intercept is related to Planck's constant

c) the slope is the work function of the metal divided by Planck's constant and the intercept is irrelevant

d) the intercept is Planck's constant divided by the work function of the metal and the slope is irrelevant

Homework Equations



Vs= (h/e)f - (work function/e)


The Attempt at a Solution


I think the answer is (A) because the Planck's constant is the slope and the intercept is the work function, but I am not sure. Any help would be great :)
 
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  • #2
"planck's constant is the slope" is a bit strange. Idem "the intercept is the work function".
Fortunately the wording of a) is more accurate :smile:

For the uninitiated: this is not about Foucault's pendulum! But about ... ?
(meaning: try to be a bit more complete under 1)...
 
  • #3
Thank you so much for clarifying. I thought the wording too was unclear.
 

FAQ: Plotting Stopping Voltage vs. Frequency

What is the purpose of plotting stopping voltage vs. frequency?

The purpose of plotting stopping voltage vs. frequency is to determine the relationship between the stopping voltage (or threshold voltage) and the frequency of incident light on a metal surface. This allows us to understand the behavior of photoelectric effect and to calculate important parameters such as the work function of the metal.

How is stopping voltage measured?

Stopping voltage is measured by gradually increasing the frequency of incident light on a metal surface and recording the voltage at which the photocurrent drops to zero. This voltage is known as the stopping voltage.

Why does the stopping voltage change with frequency?

The stopping voltage changes with frequency because the energy of a photon is directly proportional to its frequency. As the frequency of incident light increases, the energy of the photons also increases, and more electrons are ejected from the metal surface. This results in a decrease in stopping voltage.

How does the type of metal affect the stopping voltage vs. frequency plot?

The type of metal used affects the stopping voltage vs. frequency plot as it determines the work function of the metal. The work function is the minimum energy required to remove an electron from the surface of the metal. Metals with higher work functions will have higher stopping voltages for a given frequency of light.

What is the significance of the slope of the stopping voltage vs. frequency plot?

The slope of the stopping voltage vs. frequency plot is equal to Planck's constant (h) divided by the charge of an electron (e). This value is a fundamental constant in physics and confirms the particle-like nature of light and the existence of discrete energy levels in atoms.

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