Special Theory of Relativity Practice Bits
- If a rod travels with a speed V=0.6c along its length, then percentage of contraction is [ ]
a. 20% b. 30% c. 10% d. 40%
2. The velocity of the rod, when its length will appear 90% of its proper length is [ ]
a. 4×108m/sec b. 1.307×108m/sec c. 1.3×108m/sec d. 2.4×108m/sec
3. A rocket ship is 100m long on the ground. When in is in flight, its length is 99m to an
Observer on the ground, then its speed is [ ]
a. 4.23cm/sec b. 4.23×103cm/sec c. 4.13×109cm/sec d. 3.43×107cm/sec
4. The mean life of a meson is 2×10-8sec, then the mean life of a meson moving with a
Velocity of 0.8c [ ]
a. 4.47sec b. 4.47×10-8sec c. 3.33×10-8sec d. 3.33
5. A clock showing correct time when at rest, losses one hour in a day when it is moving
then its velocity is [ ]
a. 0.5c b. 0.286c c. 0.434c d. 0.314c\
6. Two particles come towards each other with speed 0.8 with respect to laboratory, then
Their relative speed is [ ]
a. 0.975c b. 0.1c c. 1.33c d. 0.432c
7. At what speed the mass of an object will be double of its value at rest [ ]
a. 2.6 b. 20×1010cm/sec c. 2.6×109cm/sec d. 2.6×1011cm/sec
8. What is the mean life of Π + mesons produced in the cosmic ray showers, which travel
with a velocity of 0.75c, c being the velocity of light . The proper life of Π + meson
is 2.5×10-8 sec [ ]
a. 2.85×10-8sec b. 5.2×10-8sec c. 3.779×10-8sec d. 8.4×10-8sec
9. The rest mass of an electron is 9.1×10-31Kg. What will be its mass if it were moving
with (4/5) th the speed of light [ ]
a. 15.16×10-3Kg b. 15.16×10-41Kg c. 15.16×10-31Kg d. 15.16
10. A particle is moving with 90% of the velocity of light, then its relativistic mass with
its rest mass is [ ]
a. 4.8 b. 3.1 c. 5.4 d. 2.294
11. How much electric energy could theoretically be obtained by anntilation of 1gm of
matter ? [ ]
a. 4.41×1032ev b. 3.131×1032ev c. 5.618×1032ev d. 7.321×1032ev
12. A clock showing correct time when at rest and losses 2 hours per day. On it is moving
Then its velocity is [ ]
a. 3.44×108m/sec b. 1.199×108m/sec c. 2.860×108m/sec d. 5.14×108m/sec
13. The total energy of a particle is exactly twice its rest energy then its speed is [ ]
a. 1C b. 0.5C c. 0.866C d. 0.222C
14. If the total energy of a particle is exactly thrice its rest energy, what is the velocity of
the particle [ ]
a. 0.866C b. 1.414C c. 3.144C d. 0.94C