Suppose a W − created in a bubble chamber lives for 5.00×10−25 s. What distance does it move in this time if it is traveling at 0.900 c? Since this distance is too short to make a track, the presence of the W − must be inferred from its decay products. Note that the time is longer than the givenW − lifetime, which can be due to the statistical nature of decay or time dilation.

Q: Spatial separation between two events. For the passing reference frames of the figure, events A and…

A: Given Time period,  ∆t=tB-tA=2μs unprimed frame, ∆x=xB-xA=497M  d∆x'dβ=β∆x-c∆t1-β232=0 Where c is…

Q: Is the relativistic Doppler effect consistent with the classical Doppler effect in the respect that…

A: Doppler effect is an effect in the frequency or wavelength of light due to the motion of the motion…

Q: A particle with rest mass m travels with speed 0.75c. (a) Calculate the relativistic momentum of…

A:

Q: A beau real pi meson is a particle that can be created by accelerator beams. If one such particle…

A: Step:1  . π Meson is a particle that can be created by accelerator beams.  . One such particle lives…

Q: A particle of rest energy 140 MeV moves at a sufficiently high speed that its total relativistic…

A: The expression from relativity,

Q: A cube has a volume of 1.2 cm and a mass of 7.3g when at rest on the Earth. If this cube is now…

A: Volume of cube V=1.2 cm3 and mass of cube m=7.3 g. Now the cube is given a velocity u=0.75c say in…

Q: In the muon decay experiment discussed in Section 2.9 as a verification of time dilation, the muons…

A: Time dilation: When the observer is moving wrt to the event happening then both the frame of…

Q: Recall, from this chapter, that the factor gamma (γ) governs both time dilation and length…

A:

Q: A pion is an unstable particle that has an average lifetime of 2.55 x 10$ s. This is the time…

A:

Q: A supertrain of proper length 94 m travels at a speed of 0.93c as it passes through a tunnel having…

A: The Lorentz transformation is the contraction of length l of any object with respect to the moving…

Q: The muon is an unstable particle that spontaneously decays into an electron and two neutrinos. In a…

A: (a). the life time of moving muon is

Q: The origins of two frames coincide at t = t' 0 and the relative speed is 0.991c. Two micrometeorites…

A: t=277μS x=83500 m

Q: Take the ratio of relativistic rest energy, E = γmc2 , to relativistic momentum, p = , and show that…

A: The relativistic rest energy is given by,

Q: An unstable high-energy particle enters a detector and leaves a track of length 1.05 mm before it…

A:

Q: Take the ratio of relativistic rest energy, E = γmc 2, to relativistic momentum, p = γmu , and show…

A: The relativistic rest energy is, E=γmc2p=γmc andEp=γmc2γmc=c

Q: If the mean proper life-time of particles is 2.2 x 106 s, the average distance would they travel in…

A:

Q: Our spacecraft is passing the Earth at a speed of 0.9c. Then after traveling for 10 years, we make a…

A:

Q: An observer on the earth sees a spaceship approaching at 0.52c. The ship then launches an…

A:

Q: Show that for any object moving at less than one-tenth the speed of light, the relativistic kinetic…

A: The relativistic kinetic energy of a particle, with mass relativistic mass m and rest mass m0,…

Q: A new particle, the joelon, has just been discovered! Careful measurements show that the joelon has…

A:

Q: The average lifetime of a pi meson in its own frame of reference (i.e., the proper lifetime) is 2.6…

A: Given, The average lifetime of a pi meson t = 2.6 x 10-8 s.   (a) If the meson moves with a speed of…

Q: If relativistic effects are to be less than 3%, then γ must be less than 1.03. At what relative…

A:

Q: If relativistic effects are to be less than 1%, then γ must be less than 1.01. At what relative…

A:

Q: The average lifetime of a pi meson in its own frame of reference (i.e., the proper lifetime) is 2.6…

A: a) The mean life time pf the pi meson with respect to the proper time on the earth is,

Q: Suppose a cosmic ray colliding with a nucleus in the Earth’s upper atmosphere produces a muon that…

A: Speed of light, c = 3×108 m/sVelocity of muon, v = 0.95cTime period, ∆t0 = 1.52×10-6 s β = vcβ =…

Q: Can a particle of mass m have total energy less than mc2? Explain.

A: The energy equivalent of a particle of mass m is mc2 .

Q: An astronaut exercising on a treadmill maintains a pulse rate of 150 per minute. If he exercises for…

A:

Q: A cube of steel has a volume of 1.00 cm3 and mass 8.00 g when at rest on the Earth. If this cube is…

A: It is given that,

Q: How long would the muon in attached Example have lived as observed on the Earth if its velocity was…

A: Here, tE=tR1-vc2

Q: One possible decay mode of the neutral kaon is K0→π0+π0. The rest energiesof the K0andπ0are 498 MeV…

A:

Q: Appearing in the lime·dilation and length-contraction formulas, Yv is a reasonable measure of the…

A:

Q: A spacecraft is measured to be 250.00 m long while it is at rest with respect to an earth-based…

A:

Q: In the Marvel comics universe, Quicksilver is awfully fast. Let's say he can run-at a velocity of…

A: velocity (v) = 0.56 c distance of trip according to Quicksilver (Lo) = 4.19×105 m

Q: A relativistic train of proper length 200 m approaches a tunnel of the same proper length, at a…

A: Since there are multiple sub parts posted, we will answer the first three sub parts. a) The equation…

Q: Suppose W- a created in a bubble chamber lives for 5.00 x 10-25 s. What distance does it move in…

A: Write the given values with suitable variables. Here, t denotes the time and v denotes the…

Q: Consider a particle that, once it comes to existence, decays on average after a short time t, where…

A: Given  t = average time of decay of particle in its own frame. Therefore t= proper time Speed of…

Q: What length track does a π traveling at 0.100 c leave in a bubble chamber if it is created there and…

A: Given data: Speed, v=0.100c=0.100×3×108 m/s Time, t=2.60×10-8 m/s

Q: What is the kinetic energy in MeV of a π -meson that lives 1.40×10−16 s as measured in the…

A: Given Data: The decay time of meson in rest frame is, t0=0.840×10-16 s The decay time in the rest…

Q: An armada of spaceships that is 1.00 ly long (as measured in its rest frame) moves with speed 0.800c…

A:

Q: If the mean proper life-time of particles is 2.2 x 10-6 s, the average distance would they travel in…

A:

Q: The half‑life, at rest, of a positive pion is 1.80×10−8 s. With what speed V must a positive pion…

A:

Q: A nuclear process, producing two elcctrons moving in the opposite direction each with a velocity…

A: A nuclear process, producing two elcctrons moving in the opposite direction each with a velocity…

Nuclear interactions

In nature, there are certain rules and standards for an interaction. These interactions are universally accepted. There are four types of interactions: