Explanation The value of Planck’s constant is 6.626 × 10 − 34 Kg ⋅ m 2 ⋅ s − 1 . The value of Coulomb’s constant is 8.988 × 10 9 N ⋅ m 2 ⋅ C − 2 . The charge on an electron is 1.6 × 10 − 19 C . The mass of an electron is 9.11 × 10 − 31 Kg . The value of π is 3.14 . The relation between N and Kg ⋅ m ⋅ s − 2 is, 1 N = 1 Kg ⋅ m ⋅ s − 2 Use this relation to convert given value of Coulomb’s constant. 8.988 × 10 9 N ⋅ m 2 ⋅ C − 2 = 8.988 × 10 9 Kg ⋅ m 3 ⋅ s − 2 ⋅ C − 2 Formula to calculate the de Broglie wavelength of an electron ( λ ) in the ground state of the hydrogen atom is, λ = h m v Here, h is the Planck’s constant. m is mass of electron. v is velocity of an electron of hydrogen atom placed at the ground state. Formula to calculate the velocity of an electron ( v n ) in nth orbit of hydrogen atom is, v n = 2 πke 2 n h Here, k is the Coulomb’s constant. e is charge on electron. n is number of orbits. h is the Planck’s constant. π is constant. The value of n for ground state of hydrogen atom is 1 . Substitute 1 for n to find the velocity of an electron ( v ) placed at ground state of hydrogen atom. v = 2 πke 2 h Substitute 6.626 × 10 − 34 Kg ⋅ m 2 ⋅ s − 1 for h , 8.988 × 10 9 Kg ⋅ m 3 ⋅ s − 2 ⋅ C − 2 for k , 1.6 × 10 − 19 C for e and 3

5th Edition

ISBN: 9780134051802

Author: Walker

Publisher: PEARSON

See similar textbooks

Concept explainers

Quantum mechanics and hydrogen atom

Consider an electron of mass m moves with the velocity v in a hydrogen atom. If an electron is at a distance r from the proton, then the potential energy function of the electron can be written as follows:

Isotopes of Hydrogen Atoms

To understand isotopes, it's easiest to learn the simplest system. Hydrogen, the most basic nucleus, has received a great deal of attention. Several of the results seen in more complex nuclei can be seen in hydrogen isotopes. An isotope is a nucleus of t…

Mass of Hydrogen Atom

Hydrogen is one of the most fundamental elements on Earth which is colorless, odorless, and a flammable chemical substance. The representation of hydrogen in the periodic table is H. It is mostly found as a diatomic molecule as water H2O on earth. It is …

Question

Chapter 31, Problem 35PCE

To determine

The de Broglie wavelength of an electron in the ground state of the hydrogen atom.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 31, Problem 34PCE

Chapter 31, Problem 36PCE

Students have asked these similar questions

A hydrogen atom is in its second excited state, corresponding to n = 3. Find (a) the radius of the electron’s Bohr orbit and (b) the de Broglie wavelength of the electron in this orbit.

When an electron in hydrogen atom jumps from the third excited state to the ground state, how would the de Broglie wavelength associated with the electron change? Justify your answer.

Determine the de Broglie wavelength for an electron orbiting with energy of 13.6 eV.

Chapter 31 Solutions

Physics (5th Edition)

Ch. 31.1 - Prob. 1EYU Ch. 31.2 - Prob. 2EYU Ch. 31.3 - Prob. 3EYU Ch. 31.4 - Prob. 4EYU Ch. 31.5 - Prob. 5EYU Ch. 31.6 - Prob. 6EYU Ch. 31.7 - Prob. 7EYU Ch. 31 - Prob. 1CQ Ch. 31 - Prob. 2CQ Ch. 31 - Prob. 3CQ

Ch. 31 - Prob. 4CQ Ch. 31 - Prob. 5CQ Ch. 31 - Prob. 6CQ Ch. 31 - Prob. 7CQ Ch. 31 - Prob. 8CQ Ch. 31 - Prob. 9CQ Ch. 31 - Prob. 1PCE Ch. 31 - Prob. 2PCE Ch. 31 - Prob. 3PCE Ch. 31 - Prob. 4PCE Ch. 31 - Prob. 5PCE Ch. 31 - Prob. 6PCE Ch. 31 - Prob. 7PCE Ch. 31 - Prob. 8PCE Ch. 31 - Prob. 9PCE Ch. 31 - Prob. 10PCE Ch. 31 - Prob. 11PCE Ch. 31 - Prob. 12PCE Ch. 31 - Prob. 13PCE Ch. 31 - Prob. 14PCE Ch. 31 - Prob. 15PCE Ch. 31 - Prob. 16PCE Ch. 31 - Prob. 17PCE Ch. 31 - Prob. 18PCE Ch. 31 - Prob. 19PCE Ch. 31 - Prob. 20PCE Ch. 31 - Prob. 21PCE Ch. 31 - Prob. 22PCE Ch. 31 - Prob. 23PCE Ch. 31 - Prob. 24PCE Ch. 31 - Prob. 25PCE Ch. 31 - Prob. 26PCE Ch. 31 - Prob. 27PCE Ch. 31 - Prob. 28PCE Ch. 31 - Prob. 29PCE Ch. 31 - Prob. 30PCE Ch. 31 - Prob. 31PCE Ch. 31 - Prob. 32PCE Ch. 31 - Prob. 33PCE Ch. 31 - Prob. 34PCE Ch. 31 - Prob. 35PCE Ch. 31 - Prob. 36PCE Ch. 31 - Prob. 37PCE Ch. 31 - Prob. 38PCE Ch. 31 - Prob. 39PCE Ch. 31 - Prob. 40PCE Ch. 31 - Prob. 41PCE Ch. 31 - Prob. 42PCE Ch. 31 - Prob. 43PCE Ch. 31 - Prob. 44PCE Ch. 31 - Prob. 45PCE Ch. 31 - Prob. 46PCE Ch. 31 - Prob. 47PCE Ch. 31 - Prob. 48PCE Ch. 31 - Prob. 49PCE Ch. 31 - Prob. 50PCE Ch. 31 - Prob. 51PCE Ch. 31 - Prob. 52PCE Ch. 31 - Give the electronic configuration for the ground...Ch. 31 - Prob. 54PCE Ch. 31 - Prob. 55PCE Ch. 31 - Prob. 56PCE Ch. 31 - The configuration of the outer electrons in Ni is...Ch. 31 - Prob. 58PCE Ch. 31 - Prob. 59PCE Ch. 31 - Prob. 60PCE Ch. 31 - Prob. 61PCE Ch. 31 - Prob. 62PCE Ch. 31 - Prob. 63PCE Ch. 31 - Prob. 64PCE Ch. 31 - Prob. 65PCE Ch. 31 - Prob. 66PCE Ch. 31 - Prob. 67PCE Ch. 31 - Prob. 68GP Ch. 31 - Prob. 69GP Ch. 31 - Prob. 70GP Ch. 31 - Prob. 71GP Ch. 31 - Prob. 72GP Ch. 31 - Prob. 73GP Ch. 31 - Prob. 74GP Ch. 31 - Prob. 75GP Ch. 31 - Prob. 76GP Ch. 31 - Prob. 77GP Ch. 31 - Prob. 78GP Ch. 31 - Prob. 79GP Ch. 31 - Prob. 80GP Ch. 31 - Prob. 81GP Ch. 31 - Prob. 82GP Ch. 31 - Prob. 83GP Ch. 31 - Prob. 84PP Ch. 31 - Prob. 85PP Ch. 31 - Prob. 86PP Ch. 31 - Prob. 87PP Ch. 31 - Prob. 88PP Ch. 31 - Prob. 89PP

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

The de Broglie wavelength of an electron in the ground state of the hydrogen atom.

Solution Summary: The author calculates the de Broglie wavelength of an electron in the ground state of the hydrogen atom.

Concept explainers

The de Broglie wavelength of an electron in the ground state of the hydrogen atom.

Want to see the full answer?

Chapter 31 Solutions