Manipal Engineering Manipal Engineering Solved Paper-2013

  • question_answer
    For a body moving with relativistic speed if the velocity is doubled, then

    A)  its linear momentum is doubled

    B)  its linear momentum will be less than double

    C)  its linear momentum will be more than double

    D)  its linear momentum remains unchanged

    Correct Answer: C

    Solution :

    From Einsteins theorem Relativistic momentum\[=\frac{{{m}_{0}}v}{\sqrt{1-{{v}^{2}}/{{C}^{2}}}}\] Putting\[v=2v\] we get\[\rho =\frac{{{m}_{0}}(2v)}{\sqrt{1-{{(2v)}^{2}}/{{c}^{2}}}}\]                  \[=2\left( \frac{{{m}_{0}}v}{\sqrt{1-{{(2v)}^{2}}/{{c}^{2}}}} \right)\] So the momentum becomes more than the double.


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