What Is The Energy Of A Photon Of Infrared Radiation With A Frequency Of $2.53 \times 10^{12} \, \text{Hz}$?Planck's Constant Is $6.63 \times 10^{-34} \, \text{J} \cdot \text{s}$.A. \$1.68 \times 10^{23} \,

Introduction

In the realm of physics, photons are a fundamental concept that plays a crucial role in understanding various phenomena, including electromagnetic radiation. Infrared radiation is a type of electromagnetic radiation that lies between microwaves and visible light in the electromagnetic spectrum. In this article, we will delve into the concept of the energy of a photon and calculate the energy of a photon of infrared radiation with a given frequency.

The Energy of a Photon

The energy of a photon is a fundamental concept in quantum mechanics, which states that energy is quantized and comes in discrete packets called photons. The energy of a photon is directly proportional to its frequency, as described by the equation:

E = hf

where E is the energy of the photon, h is Planck's constant, and f is the frequency of the photon.

Planck's Constant

Planck's constant is a fundamental constant in physics that relates the energy of a photon to its frequency. It is denoted by the symbol h and has a value of:

h = 6.63 × 10^(-34) J·s

Calculating the Energy of a Photon

To calculate the energy of a photon, we need to know its frequency. In this case, the frequency of the photon is given as:

f = 2.53 × 10^12 Hz

Using the equation E = hf, we can calculate the energy of the photon as follows:

E = hf = (6.63 × 10^(-34) J·s) × (2.53 × 10^12 Hz) = 1.68 × 10^(-21) J

Conclusion

In conclusion, the energy of a photon of infrared radiation with a frequency of 2.53 × 10^12 Hz is 1.68 × 10^(-21) J. This calculation demonstrates the fundamental relationship between the energy of a photon and its frequency, as described by Planck's equation.

Frequently Asked Questions

Q: What is the energy of a photon of infrared radiation with a frequency of 2.53 × 10^12 Hz?

A: The energy of a photon of infrared radiation with a frequency of 2.53 × 10^12 Hz is 1.68 × 10^(-21) J.

Q: What is Planck's constant?

A: Planck's constant is a fundamental constant in physics that relates the energy of a photon to its frequency. It has a value of 6.63 × 10^(-34) J·s.

Q: How is the energy of a photon calculated?

A: The energy of a photon is calculated using the equation E = hf, where E is the energy of the photon, h is Planck's constant, and f is the frequency of the photon.

References

• Planck, M. (1900). "On the Theory of the Law of Energy Distribution in the Normal Spectrum." Annalen der Physik, 1(3), 553-563.
• Einstein, A. (1905). "On a Heuristic Point of View Concerning the Production and Transformation of Light." Annalen der Physik, 17(6), 132-148.

Further Reading

• Quantum Mechanics by Lev Landau and Evgeny Lifshitz
• The Feynman Lectures on Physics by Richard P. Feynman
• Introduction to Quantum Mechanics by David J. Griffiths
  Frequently Asked Questions: Understanding the Energy of a Photon ====================================================================

Q: What is the energy of a photon of infrared radiation with a frequency of 2.53 × 10^12 Hz?

A: The energy of a photon of infrared radiation with a frequency of 2.53 × 10^12 Hz is 1.68 × 10^(-21) J.

Q: What is Planck's constant?

A: Planck's constant is a fundamental constant in physics that relates the energy of a photon to its frequency. It has a value of 6.63 × 10^(-34) J·s.

Q: How is the energy of a photon calculated?

A: The energy of a photon is calculated using the equation E = hf, where E is the energy of the photon, h is Planck's constant, and f is the frequency of the photon.

Q: What is the relationship between the energy of a photon and its frequency?

A: The energy of a photon is directly proportional to its frequency, as described by the equation E = hf.

Q: Can you explain the concept of quantized energy?

A: Yes, the concept of quantized energy states that energy is not continuous, but rather comes in discrete packets called photons. This concept is a fundamental principle of quantum mechanics.

Q: How does the energy of a photon relate to the wavelength of light?

A: The energy of a photon is inversely proportional to its wavelength, as described by the equation E = hc/λ, where E is the energy of the photon, h is Planck's constant, c is the speed of light, and λ is the wavelength of light.

Q: What is the significance of the energy of a photon in physics?

A: The energy of a photon is a fundamental concept in physics that plays a crucial role in understanding various phenomena, including electromagnetic radiation, quantum mechanics, and particle physics.

Q: Can you provide examples of how the energy of a photon is used in real-world applications?

A: Yes, the energy of a photon is used in various real-world applications, including:

• Solar cells: Convert sunlight into electrical energy
• Lasers: Produce intense beams of light
• Particle accelerators: Accelerate charged particles to high energies
• Medical imaging: Use photons to create images of the body

Q: What are some common misconceptions about the energy of a photon?

A: Some common misconceptions about the energy of a photon include:

• Energy is continuous, not quantized
• The energy of a photon is directly proportional to its intensity, not frequency
• The energy of a photon is only relevant at high energies, not at low energies

Q: How can I learn more about the energy of a photon?

A: You can learn more about the energy of a photon by:

• Reading textbooks and online resources on quantum mechanics and electromagnetic radiation
• Watching video lectures and online courses on the subject
• Conducting experiments and simulations to visualize the concept
• Consulting with experts in the field

References

• Planck, M. (1900). "On the Theory of the Law of Energy Distribution in the Normal Spectrum." Annalen der Physik, 1(3), 553-563.
• Einstein, A. (1905). "On a Heuristic Point of View Concerning the Production and Transformation of Light." Annalen der Physik, 17(6), 132-148.
• Quantum Mechanics by Lev Landau and Evgeny Lifshitz
• The Feynman Lectures on Physics by Richard P. Feynman
• Introduction to Quantum Mechanics by David J. Griffiths