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1. (5 points) Convert and calculate mass of 1 Kilogram into energy in unit of Ge

ID: 1883306 • Letter: 1

Question

1. (5 points) Convert and calculate mass of 1 Kilogram into energy in unit of GeV. 2. (5 points) In natural unit, convert 1 meter as GeV-. 3. (10 points) Calculate the speed of an electron which has a total energy of 1 MeV and 1 GeV respectively 4. (10 points) The mean lifetime (in its rest frame) of meson is 2.5x10-8 second. When it moves in lab frame at speed of V 0.99C, how much distance it travels in its mean lifetime? (10 points) A particle of rest mass Mo is traveling so that its total energy is just twice its rest mass energy. It collides with a stationary particle of rest mass Mo to form a new particle. What is the rest mass of the new particle? 5. (10 points) A particle of rest mass m moving along the x-axis with velocity V collides with a particle of rest mass m/2 moving along the x-axis with velocity -V. If the two particles coalesce, find the rest mass of the resulting particle. 6. 7. (10 points) To an observer, two bodies of equal rest mass collide head on with equal but opposite velocity 4c/5 and cohere. To a second observer, one body is initially at rest. Find the apparent velocity of the other moving mass before the collision and compare its initial energy in two frames of reference (10 points) In its rest frame, a source emits light in a conical beam of width +45°. In a frame moving forwards the source at speed V, the beam width is 8. +30. Find speed V.

Explanation / Answer

(1)mass= 1kg

we know that E= mc2

m= mass= 1kg

c= velocity of light=3x108m/s

E= 1 (3x108)2= 9x1016J

now 1 j= 6.242x109 Gev

so E= (9x1016)(6.242x109)

E=5.62x1026Gev