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 40.2, Problem 40.2QQ
(i)
To determine
The particle having highest energy in ground state.
(ii)
To determine
The particle having longest wavelength in ground state.
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Consider an electron, a proton, and an alpha particle (a helium nucleus), each trapped separately in identical boxes.
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Chapter 40 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 40.1 - Prob. 40.1QQCh. 40.2 - Prob. 40.2QQCh. 40.2 - Prob. 40.3QQCh. 40.5 - Prob. 40.4QQCh. 40 - Prob. 1PCh. 40 - Prob. 2PCh. 40 - Prob. 3PCh. 40 - Prob. 4PCh. 40 - Prob. 5PCh. 40 - Prob. 6P
Ch. 40 - Prob. 7PCh. 40 - Prob. 9PCh. 40 - Prob. 10PCh. 40 - Prob. 11PCh. 40 - Prob. 12PCh. 40 - Prob. 13PCh. 40 - Prob. 14PCh. 40 - Prob. 15PCh. 40 - Prob. 16PCh. 40 - Prob. 17PCh. 40 - Prob. 18PCh. 40 - Prob. 19PCh. 40 - Prob. 20PCh. 40 - Prob. 21PCh. 40 - Prob. 23PCh. 40 - Prob. 24PCh. 40 - Prob. 25PCh. 40 - Prob. 26PCh. 40 - Prob. 27PCh. 40 - Prob. 28PCh. 40 - Prob. 29PCh. 40 - Two particles with masses m1 and m2 are joined by...Ch. 40 - Prob. 31APCh. 40 - Prob. 32APCh. 40 - Prob. 33APCh. 40 - Prob. 34APCh. 40 - Prob. 36APCh. 40 - Prob. 37APCh. 40 - Prob. 38APCh. 40 - Prob. 39APCh. 40 - Prob. 40APCh. 40 - Prob. 41APCh. 40 - Prob. 42APCh. 40 - Prob. 44CPCh. 40 - Prob. 46CPCh. 40 - Prob. 47CP
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- A scientist wants to use an electron microscope to observe details on the order of 0.25 nm. Through what potential difference must the electrons be accelerated from rest so that they have a de Broglie wavelength of this magnitude?arrow_forward5. An electron is trapped in a one-dimensional region of length 1.0 x 10-10 m. (a) How much energy must be supplied to excite the electron from the ground state to the second excited state? (b) In the ground state, what is the probability of finding the electron in the region from x=0.09 x 10-10 m to 0.11 x 10-10 m? | (c) In the first excited state, what is the probability of finding the electron in the region from x-0.25 x 10-10 m to 0.50 x 10-10 m?arrow_forward(a) In an electron microscope, what accelerating voltage is needed to produce electrons with wavelength 0.0600 nm? (b) If protons are used instead of electrons, what accelerating voltage is needed to produce protons with wavelength 0.0600 nm?arrow_forward
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- An electron confined to a box absorbs a photon with wavelength λ. As a result, the electron makes a transition from the n = 1 state to the n = 3 state. (a) Find the length of the box. (b) What is the wavelength λ' of the photon emitted when the electron makes a transition from the n = 3 state to the n = 2 state?arrow_forwardConsider an electron, a proton, and an alpha particle (a helium nucleus), each trapped separately in identical boxes. (i) Which particle corresponds to the highest ground-state energy? Also which particle have longest wavelength when system is in ground statearrow_forwardThrough what minimum potential difference must an electron in an x-ray tube be accelerated so that it can produce x rays with a wavelength of 0.100 nm?arrow_forward
- (a) If the wavelength of an electron is 5.33 x 10-7 m, how fast is it moving? 0.58 X Your response differs from the correct answer by more than 10%. Double check your calculations. km/s (b) If the electron has a speed equal to 5.00 x 106 m/s, what is its wavelength? marrow_forwardA general expression for the energy levels of oneelectron atoms and ions is Here µ is the reduced mass of the atom, given by µ = m1m2/(m1 +m2m2), where m1 is the mass of the electron and m2 is the mass of the nucleus; ke is the Coulomb constant; and q1 and q2 are the charges of the electron and the nucleus, respectively. The wavelength for the n = 3 to n = 2 transition of the hydrogen atom is 656.3 nm (visible red light). What are the wavelengths for this same transition in (a) positronium, which consists of an electron and a positron, and (b) singly ionized helium? Note: A positron is a positively charged electron.arrow_forward(a) If the wavelength of an electron is 5.00 × 10−7 m, how fast is it moving? (b) If the electron has a speed equal to 1.00 × 107 m/s, what is its wavelength?arrow_forward
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