Textbook Question
A 0.22-caliber handgun fires a 1.9-g bullet at a velocity of 765 m/s. Calculate the de Broglie wavelength of the bullet. Is the wave nature of matter significant for bullets?
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Ch.7 - Quantum-Mechanical Model of the Atom
Chapter 7, Problem 57
Which electron is, on average, closer to the nucleus: an electron in a 2s orbital or an electron in a 3s orbital?
Verified step by step guidance1
Understand the concept of atomic orbitals and their energy levels. The principal quantum number, n, indicates the energy level and size of the orbital.
Recognize that the 2s orbital has a principal quantum number of n=2, while the 3s orbital has n=3.
Recall that orbitals with lower principal quantum numbers are generally closer to the nucleus.
Consider the radial distribution of s orbitals, which shows that electrons in lower energy levels (like 2s) are more likely to be found closer to the nucleus than those in higher energy levels (like 3s).
Conclude that, on average, an electron in a 2s orbital is closer to the nucleus than an electron in a 3s orbital due to the lower principal quantum number.
Related Practice
Textbook Question
An electron has an uncertainty in its position of 552 pm. What is the uncertainty in its velocity?
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Textbook Question
An electron traveling at 3.7×105 m/s has an uncertainty in its velocity of 1.88×105 m/s. What is the uncertainty in its position?
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Textbook Question
Which electron is, on average, farther from the nucleus: an electron in a 3p orbital or an electron in a 4p orbital?
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Textbook Question
What are the possible values of l for each given value of n? a. 1 b. 2 c. 3 d. 4
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Textbook Question
What are the possible values of ml for each value of l? a. 0
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