Calculating energy/work of a quantum

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In summary, we calculated the energy, in joules, of a quantum of light with a wavelength of 590nm to be 3.37 x10-19 J or 2.11 eV. However, this energy is below the work function of the metal surface, which is 3.0 eV, meaning that this color will not produce photoelectrons.
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Homework Statement



1- Calculate the energy, in joules, of a quantum of light with a wavelength of 590nm.
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2- Will this colour be able to produce photoelectrons from the surface of a metal with a work function of 3.0 eV? Explain your reasoning.

2. Homework Equations

E = hf

v = fλ

3. The Attempt at a Solution

v = fλ

f = v/λ

f = 3.0 x108m/s / 5.9 x10-7m

f = 5.08 x1014HzE = hf

E = (6.63 x10-34J)(5.08 x1014Hz)

E = 3.37 x10-19J

Joules to eVs:

3.37 x10-19J / 3.0 x108mThe quantum will produce 3.37 x10-19 J or 2.11 eV of energy.
2-

As this quantum of energy was determined to have an energy value of 2.11 eV, and the work function of the metal is 3.0eV, then no, this colour will not produce photoelectrons as the energy produced is below the threshold of the metal’s surface.

I am confident in my answers to part 1 but I'm not sure if I explained part 2 correctly or not. Any feedback would be great.
 
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  • #2
Part 2 is adequately explained.
 
  • #3
kuruman said:
Part 2 is adequately explained.
Ok thank you
 

What is the definition of energy in quantum mechanics?

In quantum mechanics, energy is a physical quantity that describes the ability of a system to do work. It is a fundamental concept that is central to understanding the behavior of particles and systems on a microscopic scale.

How is energy calculated in quantum mechanics?

The calculation of energy in quantum mechanics involves the use of mathematical equations and principles, such as the Schrödinger equation and the Heisenberg uncertainty principle. These equations take into account the properties of particles, such as their position, momentum, and spin, to determine the energy of a system.

What is the difference between energy and work in quantum mechanics?

In quantum mechanics, energy is a property of a system, while work is a process that involves the transfer of energy from one system to another. Work is often described as the force applied to an object multiplied by the distance it is moved, while energy is the capacity to do work.

What units are used to measure energy in quantum mechanics?

In quantum mechanics, energy is typically measured in units of electronvolts (eV) or joules (J). One electronvolt is defined as the amount of energy gained by an electron when it is accelerated through a potential difference of one volt.

How is energy related to the behavior of particles in quantum mechanics?

In quantum mechanics, the energy of a system is directly related to the behavior of particles within that system. The amount of energy a particle possesses affects its motion, interactions with other particles, and even its probability of existing in a particular state.

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