Consider an oxygen (O₂) molecule in a bottle of air. Imagine that at a certain time, we locate the molecule along the x axis to within an uncertainty of 0.1 nm. (a) What is the minimum uncertainty in the molecule's x-velocity required by the Heisenberg Uncertainty Principle? (b) How does this compare (roughly) to the magnitude of the molecule's average x-velocity due to its thermal motion at room temperature? (Hints: Avogadro's number of oxygen molecules has a mass of about 32 g. At an absolute temperature T, a molecule has an average kinetic energy of kB T, where kB is Boltzmann's constant. Room temperature is about 295 K.)

Consider an oxygen (O₂) molecule in a bottle of air. Imagine that at a certain time, we locate the molecule along the x axis to within an uncertainty of 0.1 nm. (a) What is the minimum uncertainty in the molecule's x-velocity required by the Heisenberg Uncertainty Principle? (b) How does this compare (roughly) to the magnitude of the molecule's average x-velocity due to its thermal motion at room temperature? (Hints: Avogadro's number of oxygen molecules has a mass of about 32 g. At an absolute temperature T, a molecule has an average kinetic energy of kB T, where kB is Boltzmann's constant. Room temperature is about 295 K.)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Q16. A sphere is attached to rod of negligible mass as shown in Figure Q16. The sphere isgiven a small displacement from its initial vertical position. When the rod is in horizontalposition, find its speed v.
A 6 cm diameter, 550 g solid sphere is released from rest at the top of a 2.0 m long, 35° incline. It rolls, without slipping, to the bottom. a. What is the sphere’s angular velocity at the bottom of the incline?b. What fraction of its kinetic energy is rotational?
Myrtle pulled a lever of radius 58 cm with a force of 23.2 N.a. What is the torque if she pulled it at an angle of 90°?b. What is the torque at an angle of 30°?
P1 please help me with the answer and full solution
the moment d inentia and the the X- axis y H.w: Find radrus af gyration about a thin plate bounded by the para bola Xaソーy e line x+y ao if S- メ+y- i Rx z 8 64 It
> V in, d, -2.89 in. and dy 1.7 in.. Part A Determine the moment of inertia for the area about the y axis. dx Slavinan
1. Perform analysis steps B.1. Derive an algebraic equation for the moment of inertia of the disk/plate by using the conservation of energy method. The variables in your equations should be the values you can measure (e.g., mass of hanger, angular velocities, angular acceleration, positions and/or velocities of the falling mass, etc.) and physical constants (i.e., the acceleration due to gravity). You should do this on a separate sheet and keep a copy as you will need it during the lab.
3. A meter stick has a pivot that is located in the middle (50 cm). On this meter stick we place 150 g @ 32 cm, 300 g @ 45 cm, 100 g @80 cm and 300 g @80 cm. a. How much mass needs to be placed at 55 cm in order to balance the meter stick. b. Where will you put 500 g in order to balance the meter stick?
S2
A solid sphere of radius 45 cm and mass 10 kg is allowed to rotate about its center. A1 kg mass hangs by a string off the disk, and it is released from rest. The string unwinds from the disk without slipping. a. Find the linear acceleration of the 1 kg mass while it is connected to the string.
20. Sadboi Dukue was running away from his problems when he suddenly dropped a massive ball. The ball rolled without slipping on a horizontal floor with a ro- tational kinetic energy equal to 50.0 [J]. Assuming that the massive ball is a solid sphere (Icm =MR?), what is its translational kinetic energy? A. 20.0 [J] В. 62.5 [J] С. 125. [J D. 250. [J]
Peter propels a penguin with mass 10.0kg from 2.50m above the ground at an angle 30.0o from the horizontal axis (ground), with an initial speed of 15.0 m/s. Assuming the penguin remains rigid (scared, so assume the particle model!) and ignoring any rotational effects, Using the isolated system model, what is the maximum potential energy of the penguin? a. 1370 Joules b. 1125 Joules c. 245 Joules d. 2250 Joules