Question: 15. Distinguish between an invariant quantity and a conserved quantity. Show that E-p? = E pc. 16. An electron (moc2 = 0.511 MeV) has

15. Distinguish between an invariant quantity and a conserved quantity. Show that

15. Distinguish between an invariant quantity and a conserved quantity. Show that E-p? = E pc. 16. An electron (moc2 = 0.511 MeV) has a velocity of 2.4 x 10% m/s. How much energy will it lose in being slowed down to 1.8 x 108 m/s? [Hint: moc? (, -).1 17. Show that the rest mass of a particle of momentum p and kinetic energy T is given by m, = (Ans. 0.213 MeV) pc? - T? Calculate the rest mass of a particle which has a momentum of 130 MeV/C when its 2Tc? kinetic energy is 50 MeV. (1 MeV = 1.6 x 10-13 J). [Hint: E = (T + moc)? = (pc + m c); moc = 144 MeV.] -29 (Ans. mo = 25.6 10 kg) %3!

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