One of the important ways in which the Higgs boson was detected at the Large Hadron Collider was by observing a type of decay in which the Higgs—which decays too quickly to be observed directly—is immediately transformed into two photons emitted back to back. Two photons, with momenta , were detected. What is the mass of the Higgs boson? Give your answer as a multiple of the proton mass.
The mass of the Higgs boson is
We have given two photons, with momenta
We need to find the mass of the Higgs boson.
Calculating from equation (1)
Now, finding the Higgs boson :
(Substitute value in the equation )
Mass of the Higgs boson is given as :
A -long rocket train car is traveling from Los Angeles to New York at when a light at the center of the car flashes. When the light reaches the front of the car, it immediately rings a bell. Light reaching the back of the car immediately sounds a siren.
a. Are the bell and siren simultaneous events for a passenger seated in the car? If not, which occurs first and by how much time?
b. Are the bell and siren simultaneous events for a bicyclist waiting to cross the tracks? If not, which occurs first and by how much time?
A rocket traveling at sets out for the nearest star, Alpha Centauri, which is away from earth. It will return to earth immediately after reaching Alpha Centauri. What distance will the rocket travel and how long will the journey last according to
(a) stay-at-home earthlings and
(b) the rocket crew?
(c) Which answers are the correct ones, those in part a or those in part b?
A starship voyages to a distant planet away. The explorers stay 1 year, return at the same speed, and arrive back on earth , as measured on earth after they left. Assume that the time needed to accelerate and decelerate is negligible.
a. What is the speed of the starship?
b. How much time has elapsed on the astronauts’ chronometers?
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