## Solutions for Modern Physics for Scientists and Engineers

Problem 1Q:

Michelson used the motion of the Earth around the sun to try to determine the effects of the ether....Problem 2Q:

If you wanted to set out today to find the effects of the ether, what experimental apparatus would...Problem 9Q:

Devise a system for you and three colleagues, at rest with you, to synchronize your clocks if your...Problem 10Q:

In the experiment to verify time dilation by flying the cesium clocks around the Earth, what is the...Problem 12Q:

Would it be easier to perform the muon decay experiment in the space station orbiting above Earth...Problem 13Q:

On a spacetime diagram, can events above t = 0 but not in the shaded area in Figure 2.25 affect the...Problem 18Q:

Explain how in the twin paradox, we might arrange to compare clocks at the beginning and end of...Problem 19Q:

In each of the following pairs, which is the more massive: a relaxed or compressed spring, a charged...Problem 22Q:

A salesman driving a very fast car was arrested for driving through a traffic light while it was...Problem 23Q:

A salesman driving a very fast car was arrested for driving through a traffic light while it was...Problem 1P:

Show that the form of Newtons second law is invariant under the Galilean transformation.Problem 4P:

A swimmer wants to swim straight across a river with current flowing at a speed of v1 = 0.350 m/s....Problem 9P:

Prove that the constancy of the speed of light (postulate 2) is inconsistent with the Galilean...Problem 13P:

Two events occur in an inertial system K as follows: Event 1: x1 = a, t1 = 2a/c, y1 = 0, z1 = 0...Problem 14P:

Is there a frame K in which the two events described in Problem 13 occur at the same place? Explain....Problem 16P:

An event occurs in system K at x = 2 m, y = 3.5 m, z = 3.5 m, and t = 0. System K and K have their...Problem 19P:

A rocket ship carrying passengers blasts off to go from New York to Los Angeles, a distance of about...Problem 21P:

Particle physicists use particle track detectors to determine the lifetime of short-lived particles....Problem 22P:

The Apollo astronauts returned from the moon under the Earths gravitational force and reached speeds...Problem 23P:

A clock in a spaceship is observed to run at a speed of only 3/5 that of a similar clock at rest on...Problem 24P:

A spaceship of length 40 m at rest is observed to be 20 m long when in motion. How fast is it...Problem 26P:

A mechanism on Earth used to shoot down geosynchronous satellites that house laser-based weapons is...Problem 28P:

Imagine that in another universe the speed of light is only 100 m/s. (a) A person traveling along an...Problem 32P:

A proton and an antiproton are moving toward each other in a head-on collision. If each has a speed...Problem 33P:

Imagine the speed of light in another universe to be only 100 m/s. Two cars are traveling along an...Problem 35P:

Three galaxies are aligned along an axis in the order A, B, C. An observer in galaxy B is in the...Problem 38P:

Consider a reference system placed at the U.S. Naval Observatory in Washington, D.C. Two planes take...Problem 43P:

Prove that for a spacelike interval, two events cannot occur at the same place in space.Problem 44P:

Given two events, (x1, t1) and (x2, t2), use a spacetime diagram to find the speed of a frame of...Problem 46P:

Consider a fixed and a moving system with their clocks synchronized and their origins aligned at t =...Problem 48P:

An astronaut is said to have tried to get out of a traffic violation for running a red light ( = 650...Problem 50P:

Do the complete derivation for Equation (2.33) when the source and receiver are receding with...Problem 51P:

A spacecraft traveling out of the solar system at a speed of 0.95c sends back information at a rate...Problem 55P:

Newtons second law is given by F=dp/dt. If the force is always perpendicular to the velocity, show...Problem 56P:

Use the result of the previous problem to show that the radius of a particles circular path having...Problem 60P:

A particle initially has a speed of 0.5c. At what speed does its momentum increase by (a) 1%, (b)...Problem 71P:

What is the speed of an electron when its kinetic energy is (a) 10% of its rest energy, (b) equal to...Problem 76P:

Calculate the energy needed to accelerate a spaceship of mass 10,000 kg to a speed of 0.3c for...Problem 81P:

The Large Hadron Collider at Europes CERN facility is designed to produce 7.0 TeV (that is, 7.0 ...Problem 82P:

What is the kinetic energy of (a) an electron having a momentum of 40 GeV/c? (b) a proton having a...Problem 83P:

A muon has a mass of 106 MeV/c2. Calculate the speed, momentum, and total energy of a 200-MeV muon.
Problem 85P:

The reaction 2H + 3H → n + 4He is one of the reactions useful for producing energy through nuclear...Problem 86P:

Instead of one positive charge outside a conducting wire, as was discussed in Section 2.14 and shown...Problem 88P:

Show that the following form of Newton’s second law satisfies the Lorentz transformation. Assume the...Problem 90P:

For the twins Frank and Mary described in Section 2.8, consider Mary’s one-way trip at a speed of...Problem 91P:

Frank and Mary are twins. Mary jumps on a spaceship and goes to the star system Alpha Centauri (4.30...Problem 92P:

A police radar gun operates at a frequency of 10.5 GHz. The officer, sitting in a patrol car at rest...Problem 95P:

A proton moves with a speed of 0.90c. Find the speed of an electron that has (a) the same momentum...Problem 96P:

A high-speed K0 meson is traveling at a speed of 0.90c when it decays into a π+ and a π− meson. What...Problem 98P:

The International Space Federation constructs a new spaceship that can travel at a speed of 0.995c....Problem 101P:

A spaceship is coming directly toward you while you are in the International Space Station. You are...Problem 102P:

Quasars are among the most distant objects in the universe and are moving away from us at very high...# Browse All Chapters of This Textbook

Chapter 2 - Special Theory Of RelativityChapter 3 - The Experimental Basis Of Quantum PhysicsChapter 4 - Structure Of The AtomChapter 5 - Wave Properties Of Matter And Quantum Mechanics IChapter 6 - Qunatum Mechanics IiChapter 7 - The Hydrogen AtomChapter 12 - The Atomic NucleusChapter 13 - Nuclear Interactions And ApplicationsChapter 14 - Particle PhysicsChapter 15 - General Relativity

### Book Details

Learn about the latest discoveries in physics with MODERN PHYSICS. This book offers a contemporary and comprehensive approach to physics with a strong emphasis on applications to help you see how concepts in the book relate to the real world. Discussions on the experiments that led to certain key discoveries illustrate the process behind scientific advances and give you a historical perspective. The book also provides a solid foundation in quantum theory to help you understand more advanced physics concepts.

# Sample Solutions for this Textbook

We offer sample solutions for Modern Physics for Scientists and Engineers homework problems. See examples below:

Chapter 2, Problem 1QAs from figure 2.2, total time (t1) taken by the light to travel from source to target (From A to C)...Number of fringes shifted (n) will be defined as follows: n=Δdλ and Δd=c(Δt′−Δt) The time difference...Let’s a frame Kʹ moving with a uniform velocity v along the x-axis with respect to a frame K in...Convert, speed kilometer per hour to meter per second. Thus v=95 km / h=95 km / h×(1000 m1.0 km)(1.0...Write the equation for the relativistic factor. Thus, γ=11−v2c2=11−(vc)2=11−β2 Because β=vc, where,...Formula used: The equation of wave fronts observed in system K at time t at x, y, and z....Formula used: Distance travelled by the light from source point to reflection point is as follows:...Let’s coordinates at the timing of bullet firing are as follows: In system K (x1, t1) and (x′1, t′1)...

Write the velocity of the light flowing in the direction of flow of water. Thus,...Initially the signal sent by Marry will be received by the Frank. The source emitting n waves in a...Write the expression of force when the particle is moving parallel to the direction of force:...The number of signals received by Frank at the rate f′ is fL/γv . It is half of the number of...The experiment performed by H. Hertz to determine the nature of electron was dependent on the...Write the expression for the Rydberg’s equation. 1λ=RH(1n2−1k2) (I) Here, λ is the smallest...Write the expression for the Rydberg’s equation. 1λ=RH(1n2−1k2) (I) Here, λ is the smallest...Write the expression for the Rydberg’s equation. 1λ=RH(1n2−1k2) (I) Here, λ is the smallest...Write the expression for the ratio of intensities from Planck’s law for the different wavelength....Write the expression for the kinetic energy of the electron. Kmax=eV0 (I) Here, Kmax is the maximum...Write the expression for the Crompton scattering of the light. Δλ=hmc(1−cosθ) (I) Here, Δλ is the...Write the expression for the energy of the electron-positron pair in inertial frame. hf=Ee2−E02 (I)...Write the expression for the energy obtained during annihilation. E=2m0c2 (I) Here, E is the energy...Write the expression for the power of the incident photons per second on the detector. P=I⋅A Here, I...In J.J Thompson’s Plum pudding model for the structure of atom, he proposed that electrons...If an electron rotates around the nucleus then the expression for speed is given below: v=e4πε0mr...Write the expression for E0. E0=−e28πε0a0 Here, E0 is the Energy, a0 is the Bohr’s radius and e is...Calculate hc: Here, h is the Plank’s constant and c is the speed of photon. Substitute...The isotope shift of the spectral lines is defined as the shift in wavelength sue to different...Write the expression for number of alpha particles scattered. f=πnt(Z1Z2e28πε0K)2cot2(θ2) (I) Here,...Write the expresion for fclassical to calculate forb in the ground state. forb=me44ε02h3 (I) Here,...Positronium is an atom composed of an electron and a Positron and the mass of positron is equal to...

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Modern Physics For Scientists And Engineers

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