Learning Materials
Features
Discover
Chapter 4: Q39E (page 136)
Verify the claim made in a section 4.4 that if all results of a repeated experiment are equal, the standard deviation, equation (4.13) Will be0.
The standard deviation is 0.
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
The p0 is a subatomic particle of fleeting existence. Data tables don't usually quote its lifetime. Rather, they quote a "width," meaning energy uncertainty, of about 150MeV. Roughly what is its lifetime?
Aman walks at, known to within an uncertainty (unrealistically small) of.
(a) Compare the minimum uncertainty in his position to his actual physical dimension in his direction of motion ,from front to back.
(b) Is it sensible to apply the uncertainty principle to the man?
In Section 4.3, we claim that in analyzing electromagnetic waves, we could handle the fieldsandtogether with complex numbers. Show that if we define an "electromagnetic field", then the two of Maxwell's equations that linkand. and , become just one:
Electromagnetic waves would have to obey this complex equation. Does this change of approach make and/or complex? (Remember how a complex number is defined.)
Experiments effectively equivalent to the electron double slit have been conducted in different, novel ways, producing obvious maxima and minima. Often the point is stressed that the intensity is extremely low. Why is this fact emphasized so much? How low is low enough to make the point?
In Exercise 45, the case is made that the position uncertainty for a typical macroscopic object is generally so much smaller than its actual physical dimensions that applying the uncertainty principle would be absurd. Here we gain same idea of how small an object would have♦ to be before quantum mechanics might rear its head. The density of aluminum is , is typical of solids and liquids around us. Suppose we could narrow down the velocity of an aluminum sphere to within an uncertainty ofper decade. How small would it have to be for its position uncertainty to be at least as large asof its radius?
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Exams 
GCSE 
IGCSE 
AS 
A Level 
International A Level 
University Admissions Tests 
Flashcards 
Vaia AI 
Notes 
Study Plans 
Study Sets 
Find a job 
Find a degree 
Student Deals 
Magazine 
Mobile App