Multiple choice questions of Communication systems
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Solutions to General Relativity, by Wald.Full description
Solved Problems Relativity
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collections of problems in relativity
Solutions to General Relativity, by Wald.Full description
Special Relativity Examples
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Relativity QUESTION 1
Two spaceships, A and B, are both travelling relative to an inertial frame of reference at 0.8 c in the same direction. Spaceship A shines a light beam forward towards B as shown in the following diagram.
Light Beam A
B
What is the speed of the light beam according to the captain on spaceship B? A. B. C.
0.2 c 0.8 c c
D. .8 c QUESTION 2
!n a particle accelerator, an alpha particle of mass "."# $ 0 %2& 'g is accelerated to high speed from rest. The total amo(nt of wor' done on the alpha particle is e)(al to &.& $ 0 %0 *. Which one of the following is closest to its final speed+ A. B. C. D.
0.80c 0.0c 0.8-c 0.-c
QUESTION 3
stationary stationary proton has a rest mass energy of .-0 / 0 0*. When a proton is accelerated from a speed of 1 .0- to a speed of 1 .0, which of the following is closest to the amo(nt of wor' done on the proton d(ring its acceleration+ . 3. 4. D.
Which of the following statements best e/plains why it is impossible to accelerate particles to the speed of light+ . 3. 4. D.
The 'inetic energy of particles tends towards towards an infinite val(e val(e as they approach light light speed. !t is directly directly forbidden by one of of 5instein6s 5instein6s post(lates. post(lates. s particles increase increase in speed their rest mass mass tends towards towards an infinite val(e. The length of of the path ta'en increases to infinity infinity..
QUESTION 5
ccording to 5instein6s theory of special relativity, which one of the following does not depend on the motion of the observer+ . 3. 4. D.
The order of occ(rrence of two events. The time time interval interval between between two events. The distance distance between two points. The speed of light. 7se the following information given in the passage to answer )(estions from " to
meteor is heading directly towards the s(rface of a planet at a constant speed of 0.8- c. bservers on the s(rface of the planet observe it at a time when it is a distance x above the s(rface in their reference frame. The observers calc(late the time that the meteor will ta'e to reach the s(rface of the planet as &8# microseconds. 7se these information to answer )(estions " to 8. QUESTION 6
Which one of the following is closest to the distance x+ . 3. 4. D.
0- 'm 200 'm 29- 'm 980 'm
QUESTION 7
Which one of the following is the best estimate of the time, as meas(red by the meteor, for it to reach the s(rface of the planet+ . 3. 4. D.
Which one of the following best describes the time of the meteor6s descent to the planet s(rface as meas(red by the meteor, and the time as meas(red by the observers on the s(rface of the planet+ . 3. 4. D.
nly the the meteor meas(res the proper proper time. time. They are both both meas(rements of proper time in their their own reference frames. :either are meas(res meas(res of proper proper time. time. nly the the observers meas(re the proper time.
QUESTION 9
Which of the following is closest to 5instein6s first post(late+ . 3. 4. D.
;ight always travels at 9 $ 08 m s %. There is no way to tell how how fast yo( are going (nless (nless yo( can see what6s what6s aro(nd yo(.
=or >(estions 0 and (se the following description. spacecraft ta'es off on a trip to a distant star system 2- light years away at a speed, relative to earth of 0.- c. 7pon arrival it ret(rns to 5arth at a similar speed. QUESTION 10
What is the val(e of gamma+ ga mma+ ?the ;orent@ factorA . 1 .0 3. 1 -.0 4. 1 0.0 D. 1 20.0 QUESTION 11
Bow long in 5arth6s frame did it ta'e the craft to reach the star s ystem+ . 3. 4. D.
