Hydrogen atoms in states of high quantum number have been created in a lab. (a) Find the quantum number of the Bohr orbit in a hydrogen atom whose radius is 0.01 mm. (b) What is the energy of a hydrogen atom in this state?

Hydrogen atoms in states of high quantum number have been created in a lab. (a) Find the quantum number of the Bohr orbit in a hydrogen atom whose radius is 0.01 mm. (b) What is the energy of a hydrogen atom in this state?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter29: Atomic Physics

Section: Chapter Questions

Problem 6OQ

See similar textbooks

Related questions

Q: What is the average radius of the orbit of an electron in the n=2 energy level of an oxygen atom…

A: Given 2nd orbit n=2 Atomic number Z=8

Q: (a) If one subshell of an atom has 9 electrons in it, what is the minimum value of l ? (b) What is…

A: a)If one subshell of an atom has 9 electrons in it, what is the minimum value of l The minimum…

Q: What is the longest wavelength of a photon that can be emitted by a hydrogen atom, for which the…

A: final energy state, n = 9

Q: What is the electron orbit radius of an hydrogen atom in the n = 7 state (in m)?

Q: What is the maximum photon wavelength that would free an electron in a hydrogen atom when it is in…

A: The energy in a hydrogen atom is given by: En=-21.8×10-19Jn2Z2 Z=1 En=-21.8×10-19n2

Q: If a hydrogen atom has an electron with quantum numbers n=4 and m=3, what are the possible values of…

Q: The total energy of an electron in the first excited state of the hydrogen atom is about -3.4 eV.…

Q: A negatively charged muon (µ¯) has the same charge as as electron, but it is heavier. Imagine a…

A: Muon is a lepton family member. mu= 207 me It is a fermion. Life time of muon atom is 2.2 Micro…

Q: Two electrons in the same atom have n = 3 and l = 1. (a) List the quantum numbers for the possible…

A: (a)According to the Pauli exclusive principle, it is not possible that two electrons can exit with…

Q: In the Bohr model, what is the principal quantum number n at which the excited electron is at a…

A: Given: The radius of the orbit r = 1 mm.

Q: a) An electron in a hydrogen atom has energy E= -3.40 eV, where the zero of energy is at the…

A: a. Given, The energy of hydrogen atom, E=-3.4eV According to Bohr's model of energy,…

Q: In the ground state of the hydrogen atom, the electron has a total energy of -13.6 eV.What are (a)…

A: a) The required kinetic energy for hydrogen (Z=1) is,

Q: A hydrogen atom in its ground state absorbs a photon of wavelength 102.5 nm. What is the principal…

A: Given data: The initial state of an electron is the ground state. The quantum number corresponding…

Q: An electron is in the nth Bohr orbit of the hydrogen atom. n3 (a) Show that the period of the…

A: The objective of the question is to understand the behavior of an electron in the Bohr model of the…

Q: An electron is in the nth Bohr orbit of the hydrogen atom. (a) Show that the period of the electron…

A: (a). Time period for hydrogen like atom is given as,

Q: An electron in the hydrogen atom makes a transition from an energy state of principal quantum number…

A: Given: An electron in the hydrogen atom makes a transition from an energy state of principal quantum…

Q: The total energy of an electron in the first excited state of the hydrogen atom is about –3.4 eV.(a)…

A: (a) kinetic energy of the electron

Q: Considering the Bohr’s model, given that an electron is initially located at the ground state…

A: Given : Bhor model. Ground state n =1, n = 1 Difference in radius, rnx - r1 = 5.247 x 10-9

Q: Two electrons in the same atom have n = 3 and ℓ = 1. (a) List the quantum numbers for the possible…

A: a)

Q: The hydrogen atom was initially at the state where n=3 and l=2. It then decays to a lower state…

A: We are given a hydrogen atom. We are given initial state. It decays to lower state. We find out…

Q: (A) What is the radius of the electron orbit? (B) What is the energy of the Hydrogen atom? (C) What…

Q: (a) What is the minimum value of 1 for a subshell that has11 electrons in it?(b) If this subshell is…

A: The expression for the number of electrons relating to the angular momentum quantum number is The…

Q: An electron in the n = 1 Bohr orbit has the kinetic energyK1. In terms of K1, what is the kinetic…

A: Given: Kinetic energy when n = 1 is K1

Q: Show that the radius of the orbit in hydrogen atom varies as n2, where n is the principal quantum…

A: To prove: The radius of the orbit in hydrogen atom varies as n2.

Q: A hydrogen atom in an excited bound state labeled with prin- cipal quantum number n = 3 absorbs a…

A: Given values:- Quantum number,(n)=3 ----(1) Kinetic energy of electron,(E)=8 eV=8 x 1.6 x 10-19 J…

Q: The energy difference between the 1st excited state (n = 2) and the 2nd excited state (n = 3) in the…

Q: The orbital quantum number for the electron in a hydrogen atom is ℓ = 3. What is the smallest…

A: The orbital quantum number for the electron in a hydrogen atom is ℓ = 3. What is the smallest…

Q: A hydrogen atom is in the 6g state. (a) What is the principal quantum number? (b) What is the energy…

Q: What are the most significant differences between the Bohr model of the hydrogen atom and the…

A: Bohr model of the hydrogen atom : Bohr model of the hydrogen atom first proposed the planetary model…

Q: hydrogen atom emits a photon when its electron shifts from a higher energy level to a lower one.…

Concept explainers

The Bohr model

Students often get confused between Rutherford’s model and Bohr model of an atom. They interpret the postulates of both these models to be the same, which is incorrect. Rutherford’s model differs from Bohr’s model in the following ways:

Question

Hydrogen atoms in states of high quantum number have been created in a lab.
(a) Find the quantum number of the Bohr orbit in a hydrogen atom whose
radius is 0.01 mm.
(b) What is the energy of a hydrogen atom in this state?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

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.

Similar questions

What are the possible values of m for an electron in the n = 4 state?
For an electron in a hydrogen atom in the n=2 state, compute: (a) the angular momentum; (b) the kinetic energy; (c) the potential energy; and (d) the total energy.
A triply ionized atom of betyllium Be3+ is a hydrogen-like ion. When Be3+ is in one of its excited states, its radius in this nth state is exactly the same as the radius of the first Bohr orbit of hydrogen. Find n and compute the ionization energy for this state of Be3+ .
When the absorption spectrum of hydrogen at room temperature is analyzed, absorption lines for the Lyman series are found, but none are found for the Balmer series. What does this tell us about the energy state of most hydrogen atoms at room temperature?
The Balmer series for hydrogen was discovered before either the Lyman or the Paschen series. Why?
What is the radius of a hydrogen atom when the electron is in the first excited state?
If an atom has an election in the n = 5 state with m = 3, what are the possible values of l?
When a hydrogen atom is in its ground state, what are the shortest and longest wavelengths of the photons it can absorb without being ionized?
Check Your Understanding When an election in a hydrogen atom is in the first excited state, what prediction does the Bohr model give about its orbital speed and kinetic energy? What is the magnitude of its orbital angular momentum?
An electron is in the nth Bohr orbit of the hydrogen atom. (a) Show that the period of the electron is T = n3t0 and determine the numerical value of t0. (b) On average, an electron remains in the n = 2 orbit for approximately 10 ms before it jumps down to the n = 1 (ground-state) orbit. How many revolutions does the electron make in the excited state? (c) Define the period of one revolution as an electron year, analogous to an Earth year being the period of the Earth’s motion around the Sun. Explain whether we should think of the electron in the n = 2 orbit as “living for a long time.”
An electron is in the nth Bohr orbit of the hydrogen atom. n3 (a) Show that the period of the electron is T = to n³ and determine the numerical value of to. 153 as (b) On average, an electron remains in the n = 2 orbit for approximately 8 us before it jumps down to the n = 1 (ground-state)orbit. How many revolutions does the electron make in the excited state? 8.26e+09 × (c) Define the period of one revolution as an electron year, analogous to an Earth year being the period of the Earth's motion around the Sun. Explain whether we should think of the electron in the n = 2 orbit as "living for a long time."
(a) What quantum numbers are needed to give a complete description of the quantum state of an electron in an atom? (b) List the value of each of the quantum numbers mentioned in (a) for each of the electrons in a neutral strontium atom in its ground state.