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Integrated Concepts Suppose you are designing a proton decay experiment and you can detect 50 percent of the proton decays in a tank of water. (a) How many kilograms of water would you need to see one decay per month, assuming a lifetime of $10^{31} \mathrm{y} ?$ (b) How many cubic meters of water is this? (c) If the actual lifetime is $10^{33} \mathrm{y}$ , how long would you have to wait on anaverage to see a single proton decay?

a. $7.2 \times 10^{5} \mathrm{kg}$b. $7.2 \times 10^{2} \mathrm{m}^{3}$c.

Physics 103

Chapter 33

Particle Physics

Rutgers, The State University of New Jersey

Hope College

University of Winnipeg

Lectures

02:51

In physics, wave optics is…

10:02

Interference is a phenomen…

07:26

Suppose you are designing …

02:14

Integrated Concepts (a) Ca…

04:51

Some elementary particle t…

01:33

General Properties of Elem…

03:34

Tritium $\left(^{3} \mathr…

06:22

Tritium, $^{3} \mathrm{H},…

08:21

Proton Decay. Proton decay…

02:17

Integrated Concepts Plans …

03:04

One proposed proton decay …

01:36

One GUT theory predicts th…

01:49

00:59

Fresh rainwater or surface…

02:04

The isotope 208 Tl undergo…

01:13

05:23

The half-life for the radi…

04:52

In 1999 the U.S. Environme…

03:28

Radioactive Decay Suppose …

03:01

Integrated Concepts(a)…

02:43

(a) Calculate the relativi…

government that want to the attack that brought on the cape and it attacks only half off the case in a tank of water. And we want to know how many kilograms of what we need to see one day caper mouth if we have a lifetime off off 10 to the 31 years. So we have tent at anyone. Yes, is equal to 12 times that they were mom. And then the number of particles will be just There's a mount, So M is 12 times. Yeah. Tell you what protocols that will need because we want to see one each month. So it is the same amount. But we don't see all of them. We see only half. So we need twice this amount. So and is actually two times this. And this is 24 times and military one proto now want to know how many kilograms of what the business So age tool. We have 10 protocols. So we have that 24 times spent. Two that tell you one times the convertible for the mole Muller mess. I have one divided by 603 I'm stand to 23 and then the more mess off the water. There is 0.18 kilograms. Why more? And then this gives us 7.2 times there to the five kilograms. Oh, water F about C. Part of you want to know how many Cubans mirrors off water is this? This is work for parts. And then then we know the density of the oneness of volume is just my stops density. And then there's a 7.2. I'm Step five and then the density just one divided by 1000 and in kilograms. So there's this 7.2 times and the two meter square. And for part C, we want to know what happens if the actual lifetime instead to the charity. So instead of 10 to the 31 we goto tend to the territory. So the consequence of this is that the king will be 100 times blessed, happy. So who have won the times? Last case and we'll have to wait 100 bucks instead of waiting one month to see one proton. So this case we have weight 100 more, you see, one brought to Nikki because the lifetime goes like 100 times

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In physics, wave optics is the study of the behavior of light, or other elec…

Interference is a phenomenon in which two waves superpose to form a resultan…

Suppose you are designing a proton decay experiment and you can detect 50 pe…

Integrated Concepts (a) Calculate the relativistic quantity $\gamma=\frac{1}…

Some elementary particle theories (Section 32-11) suggest that the proton ma…

General Properties of Elementary ParticlesCertain theories predict that …

Some elementary particle theories suggest that the protonmay be unstable…

Tritium $\left(^{3} \mathrm{H}\right)$ is radioactive and decays by electron…

Tritium, $^{3} \mathrm{H},$ is radioactive and decays by electron emission. …

Proton Decay. Proton decay is a feature of some grand unification theories. …

Integrated Concepts Plans for an accelerator that produces a secondary beam …

One proposed proton decay is $p^+ \rightarrow e^+ + \pi^0$, which violates b…

One GUT theory predicts that a proton will decay in about $10^{31}$ years, w…

Fresh rainwater or surface water contains enough tritium $\left(_{1}^{3} \ma…

The isotope 208 Tl undergoes $\beta$ decay with a half-life of 3.1 $\mathrm{…

Fresh rainwater or surface water contains enough tritium ( $^{3}_{1} \mathrm…

The half-life for the radioactive decay of $U-238$ is 4.5 billion years and …

In 1999 the U.S. Environmental Protection Agency seta maximum radon leve…

Radioactive Decay Suppose the quantity (in grams) of a radioactive substance…

Integrated Concepts(a) At what depth in fresh water is the critical pres…

(a) Calculate the relativistic quantity $\gamma=\frac{1}{\sqrt{1-v^{2} / c^{…

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(a) Background radiation due to ${ }^{226} \mathrm{Ra}$ averages only 0.01 m…

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Consider the decay of radioactive substances in the Earth’s interior. The en…

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Particles called muons exist in cosmic rays and can be created in particle a…

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The energy produced by the fusion of a 1.00 -kg mixture of deuterium and tri…

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A physicist scatters $\gamma$ rays from a substance and sees evidence of a n…

There are particles called $D$ -mesons. One of them is the $D^{+}$ meson, wh…

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Naturally occurring 40 $\mathrm{K}$ is listed as responsible for 16 mrem/y o…

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A $\pi$ -meson is a particle that decays into a muon and a massless particle…

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Verify that the total number of nucleons, total charge, and electron family …

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Construct Your Own Problem Consider an ultrahigh-energy cosmic ray entering …