High School

We appreciate your visit to Question 1 A proton in a certain particle accelerator has a kinetic energy equal to three times its rest energy What is the momentum of. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

**Question 1:**
A proton in a certain particle accelerator has a kinetic energy equal to three times its rest energy. What is the momentum of the proton as measured by a physicist working with the accelerator?
Given:
- Speed of light, [tex]c = 3.00 \times 10^8 \text{ m/s}[/tex]
- Proton mass, [tex]m_{\text{proton}} = 1.67 \times 10^{-27} \text{ kg}[/tex]

**Question 2:**
Upon being struck by 99.3 nm photons, a metal ejects electrons with a maximum kinetic energy of 7.53 eV. What is the work function of this metal?
Given:
- Planck's constant, [tex]h = 6.626 \times 10^{-34} \text{ J} \cdot \text{s}[/tex]
- Speed of light, [tex]c = 3.00 \times 10^8 \text{ m/s}[/tex]
- Energy conversion, [tex]1 \text{ eV} = 1.60 \times 10^{-19} \text{ J}[/tex]

Answer :

Final answer:

The momentum of the proton in the presented scenario would be P = sqrt(6) m_proton * c. The work function of the metal is found by the equation phi = hf - KE_max, which is a principle derived from the photoelectric effect where the energy of an incident photon is equal to the work function of the material minus maximum kinetic energy of ejected electrons.

Explanation:

The proton has a kinetic energy that is three times its rest mass energy which is given as K = 3mc^2. Please note that c is the speed of light. However, the relativistic momentum P of an object with mass m and kinetic energy K is given by P = sqrt(2mK). So, substituting for K, the momentum of the proton will be P = sqrt(2* m_proton * 3 * m_proton * c^2) = sqrt(6) m_proton * c.

In the second part of the question, the metal ejects electrons with maximum kinetic energy when hit by photons. This concept, known as the photoelectric effect, is based on the energy of the incoming photon being equal to the work function of the material (phi = hf - KE_max). The work function is thus given by phi = hf - KE_eject. Here, f is the frequency of the light which we can find from the given wavelength λ using the relation f = c/λ. Here, h is Planck's constant, and KE_eject is the kinetic energy of the ejected electron.

Learn more about Particle Physics here:

https://brainly.com/question/31610112

#SPJ11

Thanks for taking the time to read Question 1 A proton in a certain particle accelerator has a kinetic energy equal to three times its rest energy What is the momentum of. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada