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Chapter 39: Q 8 Exercise (page 1136)

1.0x 1010 photons pass through an experimental apparatus. How many of them land in a 0.10-mm-wide strip where the probability density is 20 m-1?

Short Answer

Expert verified

Thus, the number of photons that will land in 0.10 mm wide strip is2.0×107photons

Step by step solution

01

Given information

1.0x 1010 photons pass through an experimental apparatus.

02

Explanation

The number of photons that will land in 0.10 mm wide strip is:

N=p(x)×δx×N0

Where,

p(x) is probability density

δxis the width of strip

Nois the total number of photons

Substituting the values:

role="math" localid="1648589073680" N=20×0.1×10-3×1.0×1010N=2.0×107photons

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Most popular questions from this chapter

In one experiment, 6000 photons are detected in a O.10-mm- wide strip where the amplitude of the electromagnetic wave is 200 V/m. What is the wave amplitude at a nearby 0.20-mm-wide strip where 3000 photons are detected?

An experiment finds electrons to be uniformly distributed over the interval 0 cm x 2 cm, with no electrons falling out-side this interval.

a. Draw a graph of 0 c1x2 0 2 for these electrons.

b. What is the probability that an electron will land within the interval 0.79 to 0.81 cm?

c. If 106 electrons are detected, how many will be detected in the interval 0.79 to 0.81 cm?

d. What is the probability density at x = 0.80 cm?

FIGURE EX39.13 shows the probability density for an electron that has passed through an experimental apparatus. What is the probability that the electron will land in a 0.010mm-wide strip at (a) x=0.000mm, (b)x=0.500mm, (c) x=1.000mm, and (d) x=2.000mm?

A small speck of dust with mass 1.0×10-13ghas fallen into the hole shown in FIGURE P39.46 and appears to be at rest. According to the uncertainty principle, could this particle have enough energy to get out of the hole? If not, what is the deepest hole of this width from which it would have a good chance to escape?

FIGURE Q39.4 shows the dot pattern of electrons landing on a screen. a. At what value or values of x is the electron probability density at maximum? Explain. b. Can you tell at what value or values of x the electron wave function c1x2 is most positive? If so, where? If not, why not?

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