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Chapter 39: Q. 1 (page 1136)

FIGURE Q 39.1 shows the probability density for photons to be detected on the x-axis.

a. Is a photon more likely to be detected at x = 0 m or at x=1 m? Explain.

b. One million photons are detected. What is the expected number of photons in a 1 mm-wide interval at x = 0.50 m?

Short Answer

Expert verified

The expected number of photons is: 1,000

Step by step solution

01

Given information

FIGURE Q 39.1 shows the probability density for photons to be detected on the x-axis.

02

Explanation

a) The photon is detected most likely at x≈1, because the probability density is higher there.

03

Explanation

b)P(inδxatx)=P(x)δx.

If 1,000,000 photons are detected then the number expected in al-mm-wide interval is 1,000,000P(x)δxwhere whereδx=1.0mm.Forx=0.50m,P(x)=1m-1and the expected number is(1,000,000)1m-1(0.001m)=1,000.

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Most popular questions from this chapter

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