Homework Help is Here – Start Your Trial Now!
Science
Chemistry
If we locate an electron to within 20 pm, then what is the uncertainty in its speed?

If we locate an electron to within 20 pm, then what is the uncertainty in its speed?

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
See similar textbooks
icon
Related questions
Question
Pls answer number 6 thank you
1. Before Planck's theoretical work on blackbody radiation, Wien showed empirically that AmaxT = 2.90 x10³ m-K where Amax is the wavelength at which the blackbody spectrum has its maximum value at a temperature T. This expression is called the Wien displacement law; derive it from the theoretical expression for the blackbody distribution. (McQuarrie 1-5) 2. Calculate the number of photons in a 2.00 mJ light pulse at (a) 1.06 µm, (b) 537 nm, and (c) 266 nm. (McQuarrie 1-13) 3. Given that the work function of chromium is 4.40 eV, calculate the kinetic energy of electrons emitted from a chromium surface that is irradiated with ultraviolet radiation of wavelength 200 nm. (McQuarrie 1-19) 4. A ground-state hydrogen atom absorbs a photon of light that has a wavelength of 97.2 nm. It then gives off a photon that has a wavelength of 486 nm. What is the final state of the hydrogen atom? (McQuarrie 1-26) 5. Calculate the de Broglie wavelength for (a) an electron with a kinetic energy of 100 eV, (b) a proton with a kinetic energy of 100 eV, and (c) an electron in the first Bohr orbit of a hydrogen atom. (McQuarrie 1-38) 6. If we locate an electron to within 20 pm, then what is the uncertainty in its speed? (McQuarrie 1-46)* 7. What is the uncertainty of the momentum of an electron if we know its position is somewhere in a 10 pm interval? How does the value compare to momentum of an electron in the first Bohr orbit? (McQuarrie 1-47)* 8. Solve the following differential equations: Y- 4y = 0 y(0) = 2 (at x = 0) = 4 а. dx2 d²y b. dx2 + 6y = 0 y(0) = – 1 (at x = 0) = 0 - 2y = 0 У(0) %3D 2 (McQuarrie 2-2) C. dx 9. Solve the following differential equations: + w?x(t) = 0 x(0) = 0 (at t = 0) = vo a. dt? d?x b. + w°x(t) = 0 x(0) = A (at t = 0) = vo Prove in both cases that x(t) oscillates with frequency w/2n. (McQuarrie 2-4) 10. Prove that the number of nodes for a vibrating string clamped at both ends is n - 1 for the nth harmonic. (McQuarrie 2-11)
Transcribed Image Text:1. Before Planck's theoretical work on blackbody radiation, Wien showed empirically that AmaxT = 2.90 x10³ m-K where Amax is the wavelength at which the blackbody spectrum has its maximum value at a temperature T. This expression is called the Wien displacement law; derive it from the theoretical expression for the blackbody distribution. (McQuarrie 1-5) 2. Calculate the number of photons in a 2.00 mJ light pulse at (a) 1.06 µm, (b) 537 nm, and (c) 266 nm. (McQuarrie 1-13) 3. Given that the work function of chromium is 4.40 eV, calculate the kinetic energy of electrons emitted from a chromium surface that is irradiated with ultraviolet radiation of wavelength 200 nm. (McQuarrie 1-19) 4. A ground-state hydrogen atom absorbs a photon of light that has a wavelength of 97.2 nm. It then gives off a photon that has a wavelength of 486 nm. What is the final state of the hydrogen atom? (McQuarrie 1-26) 5. Calculate the de Broglie wavelength for (a) an electron with a kinetic energy of 100 eV, (b) a proton with a kinetic energy of 100 eV, and (c) an electron in the first Bohr orbit of a hydrogen atom. (McQuarrie 1-38) 6. If we locate an electron to within 20 pm, then what is the uncertainty in its speed? (McQuarrie 1-46)* 7. What is the uncertainty of the momentum of an electron if we know its position is somewhere in a 10 pm interval? How does the value compare to momentum of an electron in the first Bohr orbit? (McQuarrie 1-47)* 8. Solve the following differential equations: Y- 4y = 0 y(0) = 2 (at x = 0) = 4 а. dx2 d²y b. dx2 + 6y = 0 y(0) = – 1 (at x = 0) = 0 - 2y = 0 У(0) %3D 2 (McQuarrie 2-2) C. dx 9. Solve the following differential equations: + w?x(t) = 0 x(0) = 0 (at t = 0) = vo a. dt? d?x b. + w°x(t) = 0 x(0) = A (at t = 0) = vo Prove in both cases that x(t) oscillates with frequency w/2n. (McQuarrie 2-4) 10. Prove that the number of nodes for a vibrating string clamped at both ends is n - 1 for the nth harmonic. (McQuarrie 2-11)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Atomic Structure and Spectra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
SEE MORE TEXTBOOKS