Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 43, Problem 33P
(a)
To determine
Linear momentum of the neutron.
(b)
To determine
The de Broglie wavelength.
(c)
To determine
To compare the wavelength with the size of the nucleus and an atom.
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Chapter 43 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 43.1 - Prob. 43.1QQCh. 43.5 - Prob. 43.3QQCh. 43.5 - Which of the following is the correct daughter...Ch. 43.8 - When a nucleus undergoes fission, the two daughter...Ch. 43.8 - Prob. 43.6QQCh. 43.10 - Prob. 43.7QQCh. 43 - Prob. 1PCh. 43 - Prob. 2PCh. 43 - Prob. 3PCh. 43 - Prob. 4P
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- Particle (ideal gas) in thermal equilibrium with its surroundings has a kinetic energy of 3kT/2. Calculate the de Broglie wavelength for (a) a neutron at room temperature (300 K) and (b) a “cold” neutron at 77 K (liquid nitrogen).arrow_forwardyou have trapped neutrons in a box. What must be the size of the box if you measure photons of the same energy that you emit when the neutrons jump from the n=8 energy state back to ground state. Recall that body temperature is about 37 degrees celcius. (disclaimer: the answer is supposed to be 3.12*10^-10 m but I have not gotten anwsers near that value is it even possible to get the answer mentioned above? Any help in getting and or showing the steps to get the above answer is greatly appreciated!)arrow_forwardPhotons released by nuclear decays tend to be in the MeV range, and atomic nuclei are a few femtometers (10-15 m) across. If a single proton trapped in an inescapable rectangular box releases a 1.3 MeV photon when dropping from the n = 2 to the n = 1 state, how wide is the box, in femtometers? You should find that this quick and dirty estimate is remarkably close to the real size of a nucleus! The proton mass is about 1.7 x 10-27 kg. 1 MeV = 1.6 x 10-13 J. Planck's constant is approximately h = 6.6 x 10-34 J s.arrow_forward
- Why the de-Broglie wave associated with a thrown tennis ball is not observable?Explain with approximate calculations (b). Suppose that a neutron beam is used in adiffraction experiment on crystalline solid with the lattice plane separationapproximately 0.1 nm. Estimate the non-relativistic kinetic energy of neutrons (in eV)arrow_forward(a) The lifetime of a highly unstable nucleus is 10−20 s . What is the smallest uncertainty in its decay energy? (b) Compare this with the rest energy of an electron.arrow_forwardA nucleus emits a gamma ray of energy 1.2 MeV from a state that has a lifetime of 2.1 ns. What is the uncertainty in the energy of the gamma ray? The best gamma-ray detectors can measure gamma-ray energies to a precision of no better than a few eV. Will this uncertainty be directly measurable?arrow_forward
- A 3.0 MeV proton is incident on a potential energy barrier of thickness 10 fm and height 10 MeV.What are (a) the transmission coefficient T, (b) the kinetic energy Kt the proton will have on the other side of the barrier if it tunnels through the barrier, and (c) the kinetic energy Kr it will have if it reflects from the barrier? A 3.0 MeV deuteron (the same charge but twice the mass as a proton) is incident on the same barrier.What are (d) T, (e) Kt, and (f) Kr?arrow_forwardIn Davisson and Germer experiment, it was noted that the energy of an electron increases while entering a crystal, reducing its de-Broglie wavelength. Consider a 54 eV electron beam that is aimed at a nickel target. An electron that reaches the target increases its potential energy by 26 eV. What will be the speed and de-Broglic wavelength of clectron inside the nickel target? (b)arrow_forward(a) A particle with mass m has kinetic energy equal to three times its rest energy. What is the de Broglie wavelength of this particle? (Hint: You must use the relativistic expressions for momen- tum and kinetic energy: E2 = (pc2) + (mc2)2 and K = E - mc2.) (b) Determine the numerical value of the kinetic energy (in MeV) and the wavelength (in meters) if the particle in part (a) is (i) an electron and (ii) a proton.arrow_forward
- (a) The lifetime of a highly unstable nucleus is 10-12 s. What is the smallest uncertainty (in ev) in its decay energy? ev (b) What is the ratio of this energy, AE, to the rest energy of an electron, Erest? ΔΕ Erestarrow_forwardWhat is the longest wavelength (in m} of the EM radiation that can eject photoelectrons from a certain metal target, given that the binding energy is 7.48 eV? Exponential format with 3 SF.arrow_forwardA π0 meson is an unstable particle produced in high-energy particle collisions. Its rest energy is approximately 135 MeV, and it exists for a lifetime of only 8.70 × 10-17 s before decaying into two gamma rays. Using the uncertainty principle, estimate the fractional uncertainty Δm/m in its mass determination.arrow_forward
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