Homework Help is Here – Start Your Trial Now!
Science
Physics
You are using a microscope to view a particle of lycopodium powder suspended in a drop of water on a microscope slide. As water molecules bombard the particle, it "jitters" about in a random motion (Brownian motion). The particle's average kinetic energy is the same as that of a molecule in an ideal gas (K = 3KBT). The particle (assumed to be spherical) has a density of 250 kg/m³ in water at 17°C. (a) If the particle has a diameter d, determine an expression for its rms speed in terms of the diameter d. (Enter your answer as a multiple of d−³/2. Assume Vrms is in m/s and d-3/2 is in m-³/2. Do not include units in your answer.) d-3/2 Vrms= (b) Assuming the particle moves at a constant speed equal to the rms speed, determine the time required for it to travel a distance equal to its diameter. (Enter your answer as a multiple of d5/2. Assume t is in seconds and d5/2 is in m5/2. Do not include units in your answer.) 5/2 t = (c) Evaluate the rms speed (in mm/s) and the time (in ms) required for the particle to travel the distance of one diameter for a particle with a diameter of 4.00 μm. Vrms = t = mm/s ms

You are using a microscope to view a particle of lycopodium powder suspended in a drop of water on a microscope slide. As water molecules bombard the particle, it "jitters" about in a random motion (Brownian motion). The particle's average kinetic energy is the same as that of a molecule in an ideal gas (K = 3KBT). The particle (assumed to be spherical) has a density of 250 kg/m³ in water at 17°C. (a) If the particle has a diameter d, determine an expression for its rms speed in terms of the diameter d. (Enter your answer as a multiple of d−³/2. Assume Vrms is in m/s and d-3/2 is in m-³/2. Do not include units in your answer.) d-3/2 Vrms= (b) Assuming the particle moves at a constant speed equal to the rms speed, determine the time required for it to travel a distance equal to its diameter. (Enter your answer as a multiple of d5/2. Assume t is in seconds and d5/2 is in m5/2. Do not include units in your answer.) 5/2 t = (c) Evaluate the rms speed (in mm/s) and the time (in ms) required for the particle to travel the distance of one diameter for a particle with a diameter of 4.00 μm. Vrms = t = mm/s ms

College Physics
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
icon
Related questions
Question
You are using a microscope to view a particle of lycopodium powder suspended in a drop of water on a microscope slide. As water molecules bombard the particle, it "jitters" about in a random motion (Brownian motion). The particle's average kinetic energy is the same as that of a molecule in an ideal gas (K = 3KBT). The particle (assumed to be spherical) has a density of 250 kg/m³ in water at 17ºC. 2 (a) If the particle has a diameter d, determine an expression for its rms speed in terms of the diameter d. (Enter your answer as a multiple of d-³/2. Assume is in m/s and d-3/2 is in m-3/2. Do not include units in your answer.) Vrms d-3/2 Vrms (b) Assuming the particle moves at a constant speed equal to the rms speed, determine the time required for it to travel a distance equal to its diameter. (Enter your answer as a multiple of d5/2. Assume t is in seconds and d5/2 is in m5/2. Do not include units in your answer.) d5/2 t = (c) Evaluate the rms speed (in mm/s) and the time (in ms) required for the particle to travel the distance of one diameter for a particle with a diameter of 4.00 μm. Vrms t = mm/s ms
Transcribed Image Text:You are using a microscope to view a particle of lycopodium powder suspended in a drop of water on a microscope slide. As water molecules bombard the particle, it "jitters" about in a random motion (Brownian motion). The particle's average kinetic energy is the same as that of a molecule in an ideal gas (K = 3KBT). The particle (assumed to be spherical) has a density of 250 kg/m³ in water at 17ºC. 2 (a) If the particle has a diameter d, determine an expression for its rms speed in terms of the diameter d. (Enter your answer as a multiple of d-³/2. Assume is in m/s and d-3/2 is in m-3/2. Do not include units in your answer.) Vrms d-3/2 Vrms (b) Assuming the particle moves at a constant speed equal to the rms speed, determine the time required for it to travel a distance equal to its diameter. (Enter your answer as a multiple of d5/2. Assume t is in seconds and d5/2 is in m5/2. Do not include units in your answer.) d5/2 t = (c) Evaluate the rms speed (in mm/s) and the time (in ms) required for the particle to travel the distance of one diameter for a particle with a diameter of 4.00 μm. Vrms t = mm/s ms
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS