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47. The Special Theory of Relativity
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Q5 of 46 Page 457

If the speed of a particle moving at a relativistic speed is doubled, its linear momentum will

The magnitude of linear momentum is given by,


P=mv


The relativistic mass of the particle is,



Thus, magnitude of linear momentum is,




Using binomial expansion, we get,



When the speed of the particle is doubled then,




Thus, the new value of linear momentum is more than double.


So, correct option is B.

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3

An experimenter measures the length of a rod. Initially the experimenter and the rod are at rest with respect to the lab. Consider the following statements.

(A) If the rod starts moving parallel to its length but the observer stays at rest, the measured length will be reduced.


(B) If the rod stays at rest but the observer starts moving parallel to the measured length of the rod, the length will be reduced.


4

An experimenter measures the length of a rod. In the cases listed, all motions are with respect to the lab and parallel to the length of the rod. In which of the cases the measured length will be minimum?

6

If a constant force acts on a particle, its acceleration will

7

A charged particle is projected at a very high speed perpendicular to a uniform magnetic field. The particle will

Questions · 46
47. The Special Theory of Relativity
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