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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?

FIGURE Q39.1 shows the probability density for photons to be detected on the$x$-axis.

a. Is a photon more likely to be detected at $x=0\text{m}$or at $x=$$1\text{m}$ ? Explain.

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

In an interference experiment with electrons, you find the most intense fringe is at x = 7.0 cm. There are slightly weaker fringes at x= 6.0 and 8.0 cm, still weaker fringes at x = 4.0 and 10.0 cm, and two very weak fringes at x= 1.0 and 13.0 cm. No electrons are detected at x <0 cm or x> 14 cm.

a. Sketch a graph of $\left|\mathrm{ψ}\right(x){|}^2$is for these electrons.

b. Sketch a possible graph of $\mathrm{ψ}\left(x\right)$.

c. Are there other possible graph for$\mathrm{ψ}\left(x\right)$? If so draw one

The probability density for an electron that has passed through an experimental apparatus. If $1.0×{10}^6$electrons are used, what is the expected number that will land in alocalid="1649312933417" $0.010mm$wide strip atlocalid="1649312941736" $\left(a\right)x=0.000mm$and localid="1649312949893" $\left(b\right)2.000mm$?

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 $$\begin{gathered} 0.010-mm-widestripat\left(a\right)x=0.000mm,\left(b\right)x=0.500mm, \\ \left(c\right)x=1.000mm,and \\ \left(d\right)x=2.000mm?x\left(mm\right)-3-2-101230.50 \\ p\left(x\right)=0c\left(x\right)02\left(mm-1\right) \end{gathered}$$

3 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 0.010-mm-wide strip at (a) x = 0.000 mm, (b) x = 0.500 mm, (c) x = 1.000 mm, and (d) x = 2.000 mm?

An experiment has four possible outcomes, labeled A to D. The probability of A is P_A= 40% and of B is P_B = 30%. Outcome C is twice as probable as outcome D. What are the probabilities P_Cand P_D?

A thin solid barrier in the $xy-$plane has a $10\mathrm{μ}m$diameter circular hole. An electron traveling in the $z$direction with $v_x=0m/s$passes through the hole. Afterward, is it certain that $v_x$is still zero? If not, within what range is $v_x$likely to be?

Andrea, whose mass is $50kg$, thinks she’s sitting at rest in her $5.0m$long dorm room as she does her physics homework. Can Andrea be sure she’s at rest? If not, within what range is her velocity likely to be?

Andrea, whose mass is $50\text{kg}$, thinks she's sitting at rest in her 5.0-m-long dorm room as she does her physics homework. Can Andrea be sure she's at rest? If not, within what range is her velocity likely to be?