Explanation Telescope is placed at a height of 4205 m above the sea level and number of muons at any time period that is initial number of muons before starting the experiment ( N 0 ) is 10 4 . Write the formula for radioactive decay of muons as per law of radioactive decay law. N = N o exp ( − 0.693 t t 1 / 2 ) Where, N is the number of muons at any time t , N 0 is the number of muons at time t = 0 , and t 1 / 2 is half-life of the muons. Find out the time taken by the muons to travel a distance of 4205 m with speed 0.98 c. Thus, t = 4205 m 0.98 c = 4205 m 0.98 × 3 × 10 8 m / s = 1430 × 10 − 8 s = 14.30 × 10 − 6 s Substitute t = 14.30 × 10 − 6 s , t 1 2 = 1.52 × 10 − 6 s and N o = 10 4 muons in N = N o exp ( − 0.693 t t 1 / 2 ) to calculate classical number of muons. Thus, N = 10 4 exp ( − 0.693 × 14.30 × 10 − 6 s 1.52 × 10 − 6 s ) = 10 4 exp ( − 9.9 1.52 ) = 10 4 exp ( − 6.52 ) = 10 4 × 0.001479 Simplify the above equation, thus, N = 10 4 × 0.001479 = 14.79 ≈ 15 muons Write the formula to calculate the relativistic time

Modern Physics for Scientists and Engineers

4th Edition

ISBN: 9781133103721

Author: Stephen T. Thornton, Andrew Rex

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience …

Question

Chapter 2, Problem 37P

To determine

The rough figure of classical and relativistic number of muons at sea level and reason behind taking 10⁴ muons instead of only 10³.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 2, Problem 36P

Chapter 2, Problem 38P

Students have asked these similar questions

suggest a reason ultrasound cleaning is better than cleaning by hand?

Checkpoint 4 The figure shows four orientations of an electric di- pole in an external electric field. Rank the orienta- tions according to (a) the magnitude of the torque on the dipole and (b) the potential energy of the di- pole, greatest first. (1) (2) E (4)

What is integrated science. What is fractional distillation What is simple distillation

Chapter 2 Solutions

Modern Physics for Scientists and Engineers

Ch. 2 - Michelson used the motion of the Earth around the...Ch. 2 - If you wanted to set out today to find the effects...Ch. 2 - Prob. 3Q Ch. 2 - Prob. 4Q Ch. 2 - Prob. 5Q Ch. 2 - Prob. 6Q Ch. 2 - Prob. 7Q Ch. 2 - Prob. 8Q Ch. 2 - Devise a system for you and three colleagues, at...Ch. 2 - In the experiment to verify time dilation by...

Ch. 2 - Can you think of an experiment to verify length...Ch. 2 - Would it be easier to perform the muon decay...Ch. 2 - On a spacetime diagram, can events above t = 0 but...Ch. 2 - Prob. 14Q Ch. 2 - What would be a suitable name for events connected...Ch. 2 - Prob. 16Q Ch. 2 - Prob. 17Q Ch. 2 - Explain how in the twin paradox, we might arrange...Ch. 2 - In each of the following pairs, which is the more...Ch. 2 - Prob. 20Q Ch. 2 - Prob. 21Q Ch. 2 - A salesman driving a very fast car was arrested...Ch. 2 - A salesman driving a very fast car was arrested...Ch. 2 - Show that the form of Newtons second law is...Ch. 2 - Prob. 2P Ch. 2 - Prob. 3P Ch. 2 - A swimmer wants to swim straight across a river...Ch. 2 - Prob. 5P Ch. 2 - Prob. 6P Ch. 2 - Prob. 7P Ch. 2 - Prob. 8P Ch. 2 - Prove that the constancy of the speed of light...Ch. 2 - Prob. 10P Ch. 2 - Prob. 11P Ch. 2 - Prob. 12P Ch. 2 - Two events occur in an inertial system K as...Ch. 2 - Is there a frame K in which the two events...Ch. 2 - Prob. 15P Ch. 2 - An event occurs in system K at x = 2 m, y = 3.5 m,...Ch. 2 - Prob. 17P Ch. 2 - Prob. 18P Ch. 2 - A rocket ship carrying passengers blasts off to go...Ch. 2 - Prob. 20P Ch. 2 - Particle physicists use particle track detectors...Ch. 2 - The Apollo astronauts returned from the moon under...Ch. 2 - A clock in a spaceship is observed to run at a...Ch. 2 - A spaceship of length 40 m at rest is observed to...Ch. 2 - Prob. 25P Ch. 2 - A mechanism on Earth used to shoot down...Ch. 2 - Prob. 27P Ch. 2 - Imagine that in another universe the speed of...Ch. 2 - Prob. 29P Ch. 2 - Prob. 30P Ch. 2 - Prob. 31P Ch. 2 - A proton and an antiproton are moving toward each...Ch. 2 - Imagine the speed of light in another universe to...Ch. 2 - Prob. 34P Ch. 2 - Three galaxies are aligned along an axis in the...Ch. 2 - Prob. 36P Ch. 2 - Prob. 37P Ch. 2 - Consider a reference system placed at the U.S....Ch. 2 - Prob. 39P Ch. 2 - Prob. 40P Ch. 2 - Use the Lorentz transformation to prove that s2 =...Ch. 2 - Prob. 42P Ch. 2 - Prove that for a spacelike interval, two events...Ch. 2 - Given two events, (x1, t1) and (x2, t2), use a...Ch. 2 - Prob. 45P Ch. 2 - Consider a fixed and a moving system with their...Ch. 2 - Prob. 47P Ch. 2 - An astronaut is said to have tried to get out of a...Ch. 2 - Prob. 49P Ch. 2 - Do the complete derivation for Equation (2.33)...Ch. 2 - A spacecraft traveling out of the solar system at...Ch. 2 - Prob. 52P Ch. 2 - Prob. 53P Ch. 2 - Prob. 54P Ch. 2 - Newtons second law is given by F=dp/dt. If the...Ch. 2 - Use the result of the previous problem to show...Ch. 2 - Prob. 57P Ch. 2 - Prob. 58P Ch. 2 - A particle having a speed of 0.92c has a momentum...Ch. 2 - A particle initially has a speed of 0.5c. At what...Ch. 2 - Prob. 61P Ch. 2 - Prob. 62P Ch. 2 - Prob. 63P Ch. 2 - Prob. 64P Ch. 2 - Prob. 65P Ch. 2 - Prob. 66P Ch. 2 - Prob. 67P Ch. 2 - Prob. 68P Ch. 2 - Prob. 69P Ch. 2 - Prob. 70P Ch. 2 - What is the speed of an electron when its kinetic...Ch. 2 - Prob. 72P Ch. 2 - Prob. 73P Ch. 2 - Prob. 74P Ch. 2 - Prob. 75P Ch. 2 - Calculate the energy needed to accelerate a...Ch. 2 - Prob. 77P Ch. 2 - Prob. 78P Ch. 2 - Prob. 79P Ch. 2 - Prob. 80P Ch. 2 - The Large Hadron Collider at Europes CERN facility...Ch. 2 - What is the kinetic energy of (a) an electron...Ch. 2 - A muon has a mass of 106 MeV/c2. Calculate the...Ch. 2 - Prob. 84P Ch. 2 - The reaction 2H + 3H → n + 4He is one of the...Ch. 2 - Instead of one positive charge outside a...Ch. 2 - Prob. 87P Ch. 2 - Show that the following form of Newton’s second...Ch. 2 - Prob. 89P Ch. 2 - For the twins Frank and Mary described in Section...Ch. 2 - Frank and Mary are twins. Mary jumps on a...Ch. 2 - A police radar gun operates at a frequency of 10.5...Ch. 2 - Prob. 93P Ch. 2 - Prob. 94P Ch. 2 - A proton moves with a speed of 0.90c. Find the...Ch. 2 - A high-speed K0 meson is traveling at a speed of...Ch. 2 - Prob. 97P Ch. 2 - The International Space Federation constructs a...Ch. 2 - Prob. 99P Ch. 2 - Prob. 100P Ch. 2 - A spaceship is coming directly toward you while...Ch. 2 - Quasars are among the most distant objects in the...Ch. 2 - One possible decay mode of the neutral kaon is K0...Ch. 2 - Prob. 104P Ch. 2 - Prob. 105P Ch. 2 - Small differences in the wavelengths in the sun’s...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

The rough figure of classical and relativistic number of muons at sea level and reason behind taking 10 4 muons instead of only 10 3 .

Concept explainers

The rough figure of classical and relativistic number of muons at sea level and reason behind taking 104 muons instead of only 103.

Want to see the full answer?

Chapter 2 Solutions

The rough figure of classical and relativistic number of muons at sea level and reason behind taking 10⁴ muons instead of only 10³.