Concept explainers
(a)
Prove that
(a)
Answer to Problem 7P
It is proved that
Explanation of Solution
Write the uncertainty relation in energy.
Here,
Write the equation for energy.
Here,
Substitute equation (II) in (I) and
Here,
Write the equation for distance travelled by the particle.
Here,
Substitute equation (III) in the above equation to find
Conclusion:
The particle’s rest energy is
Substitute
Rearrange the above equation.
Here,
Thus, it is proved that
(b)
The relation between the range and the mass.
(b)
Answer to Problem 7P
The range is inversely proportional to the mass of the particle.
Explanation of Solution
Write the relation for the range.
Conclusion:
From the above equation, it is clear that the range and mass are inversely proportional.
Thus, the relation between the range and the mass is that the range is inversely proportional to the mass of the particle.
(c)
The range of the force that might be produced by the virtual exchange of proton.
(c)
Answer to Problem 7P
The range of the force that might be produced by the virtual exchange of proton is
Explanation of Solution
Write the relation for the range.
Conclusion:
Substitute
Thus, the range of the force that might be produced by the virtual exchange of proton is
Want to see more full solutions like this?
Chapter 46 Solutions
Physics for Scientists and Engineers with Modern Physics Technology Update
- Show that the kinetic energy of a nonrelativistic particle can be written in terms of its momentum as KE = p2/2m. (b) Use the results of part (a) to find the minimum kinetic energy of a proton confined within a nucleus having a diameter of 1.0 x 10-15 m.arrow_forwardFind FB on a particle q = 6.3 x 10-12 C with velocity (-2i + 9j + 3k) km/sec in a B=-field of (4.1i + 5.4j - 2.7k) x 103 T.arrow_forwardAn electron and a positron are separated by distance r. Find the ratio of the gravitational force to the electric force between them. From the result, what can you conclude concerning the forces acting between particles detected in a bubble chamber? (Should gravitational interactions be considered?)arrow_forward
- can u please solve these quastions on paper with explanationarrow_forwardIn one experiment, a proton with a kinetic energy of 1 MeV orbits on a circular path in a homogeneous magnetic field. Calculate the kinetic energy of the deuterium nucleus moving along the same circle? NOTE: ignore the relativistic effects and adopt approximate relations between the masses: ??????? = 2 ∙ ??????? and remember that ??????? = ???????arrow_forwardanswer the ff with complete solution num 2arrow_forward
- Could someone explain to me the value of K or how it is solve for me to solve the table?arrow_forwardElectrons accelerated to an energy of 50 GeV have a de Broglie wavelength l small enough for them to probe the structure within a target nucleus by scattering from the structure. Assume that the energy is so large that the extreme relativistic relation p = E/c between momentum magnitude p and energy E applies. (In this extreme situation, the kinetic energy of an electron is much greater than its rest energy.) (a)What is l? (b) If the target nucleus has radius R = 5.0 fm, what is the ratio R/l?arrow_forwardIn the LHC, protons are accelerated to a total energy of 7.80 TeV. The mass of proton is 1.673 × 10−27 kg and Planck’s constant is 6.626 × 10−34 J·s. In the reference frame of the protons, how long does it take the protons to go around the tunnel once? I know the answer is 10.8ns. The solutions posted on here, do not come within 1% of that answer so I cannot trust that the steps are correct. Please give step by step instructions on how to arrive at 10.8 nsarrow_forward
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning