Special Theory of Relativity Practice Bits

  1. 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