JEE Main & Advanced Physics Mathematical Tools, Units & Dimensions Question Bank Self Evaluation Test - Physical World, Units and Measurements

  • question_answer
     A boy recalls the relation almost correctly but for gets where to put the constant c (speed of light). He writes; \[m=\frac{{{m}_{0}}}{\sqrt{1-{{v}^{2}}}}\], where m and \[{{m}_{0}}\] stand  masses and v for speed. Right place of c is

    A) \[m=\frac{c{{m}_{0}}}{\sqrt{1-{{v}^{2}}}}\]

    B)  \[m=\frac{{{m}_{0}}}{c\sqrt{1-{{v}^{2}}}}\]

    C)  \[m=\frac{{{m}_{0}}}{\sqrt{{{c}^{2}}-{{v}^{2}}}}\]

    D)  \[m=\frac{{{m}_{0}}}{\sqrt{1-\frac{{{v}^{2}}}{{{c}^{2}}}}}\]

    Correct Answer: D

    Solution :

    [d] In, \[1-{{v}^{2}},{{v}^{2}}\]should be dimensionless, so it should be \[1-\frac{{{v}^{2}}}{{{c}^{2}}}\]


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