28. The nucleus of an atom is on the order of 10-14 m in diam- QC eter. For an electron to be confined to a nucleus, its de Bro- glie wavelength would have to be on this order of magnitude or smaller. (a) What would be the kinetic energy of an elec- tron confined to this region? (b) Make an order-of-magni- tude estimate of the electric potential energy of a system of an electron inside an atomic nucleus. (c) Would you expec to find an electron in a nucleus? Explain.

28. The nucleus of an atom is on the order of 10-14 m in diam- QC eter. For an electron to be confined to a nucleus, its de Bro- glie wavelength would have to be on this order of magnitude or smaller. (a) What would be the kinetic energy of an elec- tron confined to this region? (b) Make an order-of-magni- tude estimate of the electric potential energy of a system of an electron inside an atomic nucleus. (c) Would you expec to find an electron in a nucleus? Explain.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter7: Quantum Mechanics

Section: Chapter Questions

Problem 7.4CYU: Check Your Understanding A sodium atom nukes a transition from the first excited state the wound...

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The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.

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28. The nucleus of an atom is on the order of 10-14 m in diam-
QC eter. For an electron to be confined to a nucleus, its de Bro-
glie wavelength would have to be on this order of magnitude
or smaller. (a) What would be the kinetic energy of an elec-
tron confined to this region? (b) Make an order-of-magni-
tude estimate of the electric potential energy of a system of
an electron inside an atomic nucleus. (c) Would you expec
to find an electron in a nucleus? Explain.

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T R 3. Netflix N N Jg>s Edu S -ا I6m ( AULED EduWave - ..JIl lb Ed EduWave e00 ClassMarker - My t.. M JgsJl Jezui wavelength is the same as the de Broglie wavelength of the electron? kg, c = 3.00 × 10° m/s, 1 eV= 1.60 × 10"19 J) 61-0T An electron has a kinetic energy of 5.4 eV. What is the energy of a photon whose (mẹ=9.11 × 10*-31 O A. 2.4 keV O B. 1.2 keV O C. 3.6 keV O D.4.8 keV PEN 14°C Desktop SE End Home 1/4 24 4. %23 7. 8. 5. 9. P. K. H
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In the equation above, w is called the work function and it is the minimum energy required to dislodge an electron from the metal's surface. The value of w varies from metal to metal, Using Einstein's formula for the energy of a photon, The work function is related to the threshol frequency (and thresk wave length) as follo we obtain the following expression for the kinetic energy of the ejected electrons: hc w = hv.= (KE), = hv - w = h(v-v This result helped Einstein explained observations (1) and (2). Since (KE). = mv must be greater than zero (i.e. m is positive and v is positive), then we know that v must be greater than ve: Also, a plot of (KE). versus v should be linear and the value of h is obtained from the slope of the line! The value of h was expected to be (and found to be) equal to 6.626x10-34 J s! The "appearance" of h in another physical situation suggested that Planck's quantum hypothesis was not that crazy after all. See p from Example 2-1: A domestic microwave employs…
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