Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
4th Edition
ISBN: 9780134110684
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
Question
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Chapter 39, Problem 1CQ
To determine

(a)

location where photon is more likely to be detected?

Expert Solution
Check Mark

Answer to Problem 1CQ

Solution: Photon is more likely to be found at x=1m.

Explanation of Solution

Given:

Figure of probability density of photons on the x-axis

Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition), Chapter 39, Problem 1CQ , additional homework tip  1

Figure.1

It is clear from the figure, that the probability of finding a particle at x=0 is 0, and the probability of finding a particle at x=1 is 2, since the probability is higher at x=1, therefore proton is more likely to be found on x=1m

Conclusion:

Photon is more likely to be found at x=1m.

To determine

(b)

expected number of photons in a 1 mm wide interval at x=0.50mm

Expert Solution
Check Mark

Answer to Problem 1CQ

Solution: expected number of photons in a 1 mm wide interval at x=0.50mm is 1×103

Explanation of Solution

Given:

Figure of probability density of photons on the x-axis

Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition), Chapter 39, Problem 1CQ , additional homework tip  2

Figure.1

Calculation:

It’s clear from the figure that, probability of finding photon at x=0.5 is 1

The area of curve at x=1 mm is

A=12×1×2=1×103m2

The expected number of photon that can be detected in the area is

N=1×106×1×103=1×103

Conclusion:

Expected number of photons in a 1 mm wide interval at x=0.50mm is 1×103

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