Nothing Special   »   [go: up one dir, main page]

3.2.1 Particle Accelerators Questions

Download as doc, pdf, or txt
Download as doc, pdf, or txt
You are on page 1of 2

3.2.

1 Particle accelerators Questions

1 2

Why do the electrodes in a linear accelerator get progressively longer? Lawrences second cyclotron, built with the assistance of Stanley Livingston was 25 cm in diameter and accelerated protons to 1 MeV. a b c d Calculate the speed of these protons. Calculate the momentum of these protons. Calculate the magnetic field strength Lawrence used in this cyclotron, assuming the protons move in a circle around the very edge of the machine. Calculate the frequency of the voltage that Lawrence and Stanley had to apply to achieve this proton acceleration.

The Large Hadron Collider is a giant circular accelerator near Geneva in Switzerland. The LHC website provides some facts about it: the circular ring has a circumference of 27 km each proton goes around over 11 000 times a second each proton has 7 1012 eV of kinetic energy. a b c d Calculate the speed of these protons. Calculate mv2 for these protons using mp = 1.67 1027 kg. How does your answer to b compare with the 7 TeV of kinetic energy the protons are given through pd acceleration? Explain this difference.

3.2.1 Particle accelerators Answers 1) 2) The particles get faster, but must spend the same time inside each electrode. a) b) c) d) 3)a) c) d) 1.96 x 107 m s-1 3.27 x 10-20 kg m s-1 0.82 T 1.25 x 107 Hz 1.38 x 107 m s-1 2.31 x 10-20 kg m s-1 1.16 T 17.6 Mhz

2.97 x 108 m s-1 b) 7.37 x 10-11 J The answer to part (b) is much less The protons mass increases significantly as it is accelerated

You might also like