A certain atom has an energy level 3.60 eV above the ground state. When excited to this state, atom remains for 6.00 us, on the average, before emits a photon and returns to the ground state. What is the smallest possible uncertainty in energy of the photon?

A certain atom has an energy level 3.60 eV above the ground state. When excited to this state, atom remains for 6.00 us, on the average, before emits a photon and returns to the ground state. What is the smallest possible uncertainty in energy of the photon?

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter5: Matter Waves

Section: Chapter Questions

Problem 19P

See similar textbooks

Related questions

Q: (a) If the position of an electron in an atom is measured to an accuracy of 0.0100 nm, what is the…

A: (a) Write the expression for the Heisenberg uncertainty principle, and and solve for the…

Q: What is the smallest box in which you can confine an electron if you want to know for certain that…

A: According to the uncertainty principle, ∆x∆p=h2π We know that, ∆x∆p≥h4π

Q: The speeds of an electron and a proton have been measured to the same uncertainty. Which one has a…

A: The speeds of an electron and a proton have been measured to the same uncertainty.

Q: Question 1 A rectangular object has length I=32.9±0.4, width w=23.8±0.2. What is the absolute…

Q: A measurement is made of a photon’s energy (from a laser) that results in an uncertainty in the…

Q: A proton is confined to a nucleus whose diameter is 5.5 × 10^−15 ?. If this distance is considered…

Q: 79. a) Assume an electron in the ground state of the hydrogen atom moves at an average speed of…

Q: A scientist claims that the position of an electron in an atom is measured to an accuracy of…

A: Given: The accuracy in the measurement of the position of an electron is 0.000100 pm. Introduction:…

Q: In a nonrelativistic experiment, an electron and a proton are each located along the x-axis to…

A: Given data The uncertainty of electron and proton is given as Δxe = Δxp = 4.80 μm. Now, the…

Q: A laser produces light of wavelength 665 nm in an ultrashort pulse. What is the minimum duration of…

Q: An electron has a velocity of 610.03 m/s, +/- 0.001 m/s. What is the smallest uncertainty (+/-…

A: Given that, Velocity = 610.03 m/s Accuracy = ±0.001 m/s

Q: The ground-state energy of a harmonic oscillator is 5.60 eV. If the oscillator undergoes a…

A: The energy of the photon is, ∆E=hcλ ...... (1) The ground state…

Q: An atom in an excited state temporarily stores energy. If the lifetime of this excited state is…

Q: If you know the uncertainty in position (ΔΔx ) is 100nm, what is the lowest velocity uncertainty (…

A: Uncertainty in position = ∆x = 100 nm Mass of electron = M = 9.109*10-31 kg Uncertainty in…

Q: A relatively long-lived excited state of an atom has a lifetime of 3.00 ms. What is the minimum…

Q: An electron in a one-dimensional box has ground-state energy 2.00 eV. What is the wavelength of the…

A: Given: The energy of electron in-ground energy state = 2 eV

Q: An electron is trapped within a sphere whose diameter is 5.40×10−155.40×10−15 m (about the size of…

A: The expression for the minimum uncertainty in electron’s momentum,

Q: An electron has been accelerated by a potential difference of 100 V. If its position is known to…

A: When an electron is accelerated by a potential difference, the potential energy of the electron gets…

Q: A proton confined in a one-dimensional box emits a 2.0 MeV gamma-ray photon in a quantum jump from n…

Q: If an electron is moving at 2m/s with an uncertainty of 10%, what is the minimum uncertainty in the…

Q: An atom in an excited state temporarily stores energy. If the lifetime of this excited state is…

A: To determine: The minimum uncertainty in the energy of the atom in the excited state Given: The…

Q: An electron has been accelerated by a potential difference of 100 V. If its position is known with…

Q: The minimum uncertainty in the energy state of a stom if an electron remains in the state for about…

A: Given data: Uncertainty in time is, ∆t=10-8 s.

Q: If the position of an electron is within the 10 pm interval, what is the uncertainty of the…

Q: A laser produces light of wavelength 255 nm in an ultrashort pulse. What is the minimum duration of…

Q: Suppose the visible light of wavelength i=500 nm position of an is used to determine the electron to…

Q: If work function for a metal is 1.85 eV. What would be the stopping potential for light having…

A: The work function for a metal,

Q: Calculate the value of the uncertainty in the energy of the excited state of an atom when the…

A: Heisenberg uncertainty for energy and time is; ∆E∆t≥h4π Given: Uncertainty of time, ∆t=8.4×10-3 s

Q: What is the wavelength of an electron of energy(a) 10 eV, (b) 100 eV, (c) 1.0 keV?

A: (a) The energy of the electron is 10 eV. Calculation: Write the expression for the wavelength of the…

Q: A certain atom has an energy state 3.50 eV above the ground state. When excited to this state, the…

A: (a) The energy and wavelength of the photon, The energy of the photon is 3.5 eV, The wavelength is…

Q: The decay energy of a short-lived particle has an uncertainty of 1.0 MeV due to its short lifetime.…

A: Heisenberg uncertainty principle of energy and time is

Q: Rayleigh’s criterion is used to determine when two objects are barely resolved by a lens of diameter…

A: Given data: θR=1.22λd Distance of separation, y=4000 nm=4000×10-9m Distance, x=20 cm=0.20 m Diameter…

Q: Ex. 1: The speed of an electron is measured to be 5.00 x 103 m/s to an accuracy of o.003 o0%. Find…

A: the position and the momentum of a particle cannot be measured accurately, there is always…

Q: A particular atomic state has energy of 2.20 eV above the ground state, and has a lifetime of 2.9…

Q: A certain atom remains in an excited state for about 51.7 ns before emitting a 2.15-eV photon and…

Q: What is the wavelength of (a) a photon with energy 1.00 eV, (b) an electron with energy 1.00 eV, (c)…

Q: A photon passes through a horizontal slit of width 5 × 10-6 m. What uncertainty in the vertical…

A: Given: The width of the slit is ∆r=5×10-6 m. The expression to calculate the minimum uncertainty…

Q: An electron is accelerated from rest through a potential difference so that its de Broglie…

A: Given that the de broglie wavelength and We have to determine the value of potential difference.

Q: Suppose the x-component of the velocity of an electron has been measured to an accuracy of 10 -2…

A: According to the Heisenberg uncertainty principle, Here, Δx, Δp and h represent the uncertainty in…

Q: If an electron's position can be measured to a precision of 3.0 × 10¯ m, how precisely can its speed…

A: Given: The precision in the electron's position is 3x10-8 m.

Concept explainers

Blackbody

Q.5 A blackbody radiates how much energy when the temperature of the body is elevated?

Question

A certain atom has an energy level 3.60 eV above the ground state. When excited to this state, atom remains for 6.00
us, on the average, before emits a photon and returns to the ground state.
What is the smallest possible uncertainty in energy of the photon?

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

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

A certain atom remains in an excited state for about 51.7 ns before emitting a 2.15-eV photon and transitioning to the ground state. What is the uncertainty in the frequency of the photon in Hz?
An atom in an excited state of 4.7 eV emits a photon and ends up in the ground state. The lifetime of the excited state is 1.0 x 10-13 s. (a) What is the energy uncertainty of the emitted photon? (b) What is the spectral line width (in wavelength) of the photon?
The speed of an electron is measured to within an uncertainty of 2.0 × 104 m/s. What is the size of the smallest region of space in which the electron can be confined?
A certain atom has an energy state 3.50 eV above the ground state. When excited to this state, the atom remains for 2.0 ms, on average, before it emits a photon and returns to the ground state. (a) What are the energy and wavelength of the photon? (b) What is the smallest possible uncertainty in energy of the photon?
If an electron has an uncertainty in its position of 4.20 × 10-2 m, what is the uncertainty in its velocity (in m/s)?
The speed of an electron is known to be between 5.0×106 m/sm/s and 5.8×106 m/sm/s . Estimate the uncertainty in its position.
A measurement is made of a photon’s energy (from a laser) that results in an uncertainty in the momentum of 6.63 × 10‒26 kg m/s. What is the uncertainty in the position of the photon?
If the speed of an electron is measured to within an uncertainty of 2.0x104 m/s, what would be the size of the smallest region of space in which the electron can be confined? me = 9.11 x 10-31 kg. 2.
If a proton has an uncertainty in its velocity of 5.90 × 10⁻⁴ m/s, what is the uncertainty (in meters) in its position?
assume that an electron is moving along the x-axis and that you measure its speed to be 20.5*10^6m/s, which can be known with of precision of 0.50%. what is the minimum uncertainty (as allowed by the uncertainty principle in quantum theory )with which you can simultaneously measure the position of the electron along the x-axis?
the measurement of electron energy requires a time interval of 1.0x10^28s. What's the smallest possible uncertainty in the electrons energy?
An atom of iron has a radius of 156. pm and the average orbital speed of the electrons in it is about ×5.7*10^7 m/s. Calculate the least possible uncertainty in a measurement of the speed of an electron in an atom of iron. Write your answer as a percentage of the average speed, and round it to 2 significant digits.