s) The photoelectric effect can be used to generate power using a solar cell. We will use Aluminum for our cathode, which has work function = 4.26 eV. Since we want to generate power, we will not be applying a voltage to the phototube. (a) The surface temperature of the sun is 5778 K. Assuming the sun is a perfect blackbody, at what frequency fpeak does the peak power of the solar radiation occur? (b) Assuming all the light hitting the solar cell has the frequency fpeak you found in part (a), what is the maximum kinetic energy of electrons ejected from the Aluminum cathode in eV? (c) The solar power per square meter arriving at the Earth's surface on a clear day is about 250 W/m², and our solar panel is a 1 m by 2 m rectangle. Assuming all the photons have frequency fpeak that you found in part (a), how many photons are hitting the solar panel per second? with maximum kinetic energy

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s) The photoelectric effect can be used to generate power using a solar cell. We
will use Aluminum for our cathode, which has work function = 4.26 eV. Since we want to
generate power, we will not be applying a voltage to the phototube.
(a) The surface temperature of the sun is 5778 K. Assuming the sun is a perfect blackbody,
at what frequency fpeak does the peak power of the solar radiation occur?
(b) Assuming all the light hitting the solar cell has the frequency fpeak you found in part (a),
what is the maximum kinetic energy of electrons ejected from the Aluminum cathode in
eV?
(c) The solar power per square meter arriving at the Earth's surface on a clear day is about
250 W/m², and our solar panel is a 1 m by 2 m rectangle. Assuming all the photons
have frequency fpeak that you found in part (a), how many photons are hitting the solar
panel per second?
(d) If each photon hitting the solar panel ejects an electron with maximum kinetic energy
(i.e. all the electrons are on the surface), and all the kinetic energy of the ejected electrons
is converted to electrical power, how much total power does one solar cell generate in
Watts?
Transcribed Image Text:s) The photoelectric effect can be used to generate power using a solar cell. We will use Aluminum for our cathode, which has work function = 4.26 eV. Since we want to generate power, we will not be applying a voltage to the phototube. (a) The surface temperature of the sun is 5778 K. Assuming the sun is a perfect blackbody, at what frequency fpeak does the peak power of the solar radiation occur? (b) Assuming all the light hitting the solar cell has the frequency fpeak you found in part (a), what is the maximum kinetic energy of electrons ejected from the Aluminum cathode in eV? (c) The solar power per square meter arriving at the Earth's surface on a clear day is about 250 W/m², and our solar panel is a 1 m by 2 m rectangle. Assuming all the photons have frequency fpeak that you found in part (a), how many photons are hitting the solar panel per second? (d) If each photon hitting the solar panel ejects an electron with maximum kinetic energy (i.e. all the electrons are on the surface), and all the kinetic energy of the ejected electrons is converted to electrical power, how much total power does one solar cell generate in Watts?
Expert Solution
Step 1

Given:

The work function of the aluminum cathode is ϕ = 4.26 eV

The temperature of the sun is T = 5778 K

The solar power per square meter on a clear day is I = 250 W/m2

The dimension of the solar panel is l x b = 1 m x 2 m 

The Wein's displacement constant b = 2.898 x 10-3 m.K

1 eV = 1.9 × 10-19 J

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