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Quiz On Special
Relativity
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Give all answers to
3s.f. unless otherwise asked.
c
= 3.0*108 m/sec e = -1.6*10-19
c
1. In which
year did Albert Einstein publish his key papers on Special Relativity ?
year.
2. A positron
has a rest mass of 9.1*10-31kg.
(a)
Calculate the energy of the positron in MeV.
MeV
(b) Calculate
its total energy (in MeV) when moving at 0.95 times the speed of light.
MeV
3. Time
dilation is the slowing of time due to relative motion of two observers.
(a)
Calculate the time dilation factor to 2d.p. for two observers moving at
a relative speed of 0.75c.
(b) If Bill
goes on a space trip at this speed and Monica stays home, how much
older (to the nearest year) will Monica be if Bill ages 6 years ?
years
4. The charge
to mass ratio of a particle is given as q/m . An electron is moving
at 0.98 times the speed of light.
(a)
Calculate its apparent mass to a laboratory observer.
*10-30kg
(b) Calculate
how many times smaller than the usual ratio (1.76*10-11C/kg)
the value of q/m would be measured .
times
5. In which
year was Albert Einstein born ?
year
6. A proton
is accelerated to an energy of 2.5 times its rest mass.
(a)
Calculate the speed at which it is travelling.
*108m/sec
(b) In the
rest frame of the accelerated proton, what distance would a 2km journey
contract to ?
km
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