Special Theory of Relativity Practice Bits – 2
- A body should travel, so that its length becomes half of the rest length, then the velocity
of the body is [ ]
a. 
C b. 
C c. 
C d. C
2. The name of the contraction in length observed due to the motion of an object with
comparable to the velocity of light [ ]
a. Galileo contraction b. Michelson contraction
c. Lorentz-Fitzerald contraction d. Newton’s contraction
3. According to theory of relativity [ ]
a. Mass of the particle increases with its velocity
b. Mass of the particle decreases with its velocity
c. Mass of the particle remains constant
d. Mass of the particle is reduced to zero
4. Lorentz transformation transformations approaches to Galileo transformations, when [ ]
a. V=0 b. V=c c. V>>c d. V<<c
5. Reduced mass of a system of two particles having mass m1 and m2 is expressed [ ]
a. μ = 
b. μ= c. μ= d. μ=
6. According to special theory of relativity, the relation between momentum and energy
Of a particle is given by [ ]
a. E=P2C2+m04C2 b. E=P2C2+m0C2 c. E=P2C2+m02C4 d. E=P2C2+m02C2
7. A particle of rest mass m0 moves with a velocity of ‘V’ slightes less than, the velocity
Of light c. the momentum of the particle is given by [ ]
a. m0V b. m0c c. 
d.
8. The Lorentz transformation for space is given by [ ]
a. x1=
b. = x1 c. x1= 
d. x1=
9. In relativity mechanics , K.E. for a particle of rest mass m0 and velocity V is [ ]
a. 
b. 
V2 c. –
d. 
10. The formulae change in fringe shift in Michelson Morley experiment [ ]
a. 
b. 
c. 
d.
11. Calculate the expected fringe shifts in the Michelson Morley experiment, if the
distance of each plate is 2m and the wave length of monochromatic radiation is 4000A0 [ ]
a. 0.067 b. 0.1 c. 0.5 d. 1
12. A particle with a mean proper life time of 2μsec moves through the laboratory with
A speed of 0.9C. Calculate its lifetime as measured by an observer in the laboratory [ ] a. 4.58×10-10sec b. 4.58×10-8sec c. 4.58×10-6sec d. 4.58×10-4sec