Question

Suppose there is a potential difference between the metal that ejects the electrons and the detection device, such that the detector is at a lower potential than the metal. The electrons slow down as they go from higher to lower electric potential; since they must overcome this potential difference to reach the detector, this potential is known as the stopping potential. To reach the detector, the initial kinetic energy of an ejected electron must be greater than or equal to the amount of energy it will lose by moving through the potential difference.

Suppose that two sets of values were recorded in this experiment:
Stopping potential V0 (V) Frequency f (Hz)
0.551 6×1014 0.965 7×1014
Using these data, extrapolate a numerical value for Planck's constant h.
Express your answer in Joule-seconds to 3 significant figures.

Answer 1

The experimental setup described in the question is related to the photoelectric effect, where electrons are ejected from a material when it is exposed to electromagnetic radiation. By analyzing the relationship between the stopping potential and the frequency of the incident radiation, Planck's constant (h) can be determined experimentally. Using the provided data, the slope of the graph can be used to estimate Planck's constant with the equation KE = hf - BE.

Step-by-step explanation:

The experimental setup described in the question is related to the photoelectric effect. The photoelectric effect is a phenomenon where electrons are ejected from a material when it is exposed to electromagnetic radiation, such as light. The stopping potential is the potential difference at which the kinetic energy of the ejected electrons is reduced to zero.

Planck's constant (h) can be determined experimentally by analyzing the relationship between the stopping potential and the frequency of the incident radiation. The equation KE = hf - BE, where KE is the kinetic energy of the ejected electron, f is the frequency of the incident radiation, h is Planck's constant, and BE is the work function (the minimum energy required to remove an electron from the material) can be used to calculate Planck's constant.

By analyzing the given data and extrapolating the slope of the graph, we can calculate an estimate for Planck's constant. Using the formula KE = hf - BE, where BE is the work function (also equal to the stopping potential), we can set up an equation for each data point and solve for h. The average value of h can be taken from these calculations to provide an estimate of Planck's constant.

Answer 2

The experiment involves the photoelectric effect and the determination of Planck's constant. The stopping potential is the potential difference needed to prevent electrons from reaching the detector. By analyzing the given data, the value of Planck's constant can be calculated.

Step-by-step explanation:

The experiment you described involves the photoelectric effect, where electrons are ejected from a metal plate by incident electromagnetic radiation. The stopping potential is the potential difference that must be applied between the plate and a detector to prevent the electrons from reaching the detector. Planck's constant, denoted as h, can be determined by extrapolating the slope of a graph of the stopping potential versus the frequency of the incident radiation. Using the given data, you can calculate the value of Planck's constant to three significant figures.