This preview shows pages 1–3. Sign up to view the full content.
Phys 100
Fall 2011
Concepts of Physics: Homework 10
Due: 16 November 2011
In order to receive full credit, you must show all work, calculations and provide complete reasons
and explanations for your solutions.
1
Hobson,
Physics: Concepts and Connections, 5ed
Ch. 12 Conceptual Exercise 18, page 292.
2
Hobson,
Physics: Concepts and Connections, 5ed
Ch 12, Problem 10, page 293. Explain
your answer.
3 Particles passing through a single slit
A beam of electrons is ±red toward a barrier which is impenetrable everywhere except through
slit, which is so narrow that an electron can only just pass through. The initial direction
of each electron’s motion is vertical (absolutely no horizontal component). The probability
distribution (curve) for the electron’s arrival at various points along the screen is illustrated
in Fig. 1.
Slit
Electrons
Screen
Probability of electron arrival.
Δ
x
A
B
Figure 1: Single slit electron experiment.
a) Suppose that an electron arrives at the screen. In this case what would be a reasonable
answer to the question: “Did the electron passed through the slit or not?”
b) Is it possible for an electron to hit the screen at point A?
1
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document c) Is it possible for an electron to hit the screen at point B?
d) Only those electrons that were aimed precisely at the slit will ever pass through and their
states of motion prior to arrival at the slit will be identical. What does this probability
distribution imply regarding the point at which any one of these electrons strikes the
screen? Will it always strike the screen at the same point?
e) In this scenario, all that the electrons all started with the same initial state of motion.
Compare this to dropping a set of balls from the same point through a suFciently wide
slit. Would they all land at the same spot? Would your intuition (or equivalently
classical physics) predict that the electrons will arrive at the same point on the screen?
How does this compare to your answer to part (d)?
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 12/12/2011 for the course PHYS 100 taught by Professor Collins during the Fall '11 term at Mesa CC.
 Fall '11
 collins
 Physics, Work

Click to edit the document details