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RAJASTHAN PMT Rajasthan - PMT Solved Paper-2001

  • question_answer
    Match the following:  Angular momentum                      (1) \[\text{ }\!\![\!\!\text{ }{{\text{M}}^{\text{-1}}}{{\text{L}}^{\text{2}}}{{\text{T}}^{\text{-2}}}\text{ }\!\!]\!\!\text{ }\]  Torque                                (2) \[\text{ }\!\![\!\!\text{ }{{\text{M}}^{\text{-1}}}{{\text{T}}^{\text{-2}}}\text{ }\!\!]\!\!\text{ }\]  Gravitational constant (3) \[\text{ }\!\![\!\!\text{ }{{\text{M}}^{\text{1}}}{{\text{L}}^{2}}{{\text{T}}^{\text{-2}}}\text{ }\!\!]\!\!\text{ }\]  Tension                              (4) \[\text{ }\!\![\!\!\text{ }{{\text{M}}^{\text{1}}}{{\text{L}}^{2}}{{\text{T}}^{\text{-1}}}\text{ }\!\!]\!\!\text{ }\]

    A)  \[c-2,d-1\]                         

    B)  \[a-4,b-3\]

    C)  \[a-3,c-2\]         

    D)         \[b-2,a-1\]

    Correct Answer: B

    Solution :

    Dimension of torque\[\text{= }\!\![\!\!\text{ }{{\text{M}}^{\text{1}}}{{\text{L}}^{\text{2}}}{{\text{T}}^{\text{-2}}}\text{ }\!\!]\!\!\text{ }\] Dimension of angular momentum \[\text{= }\!\![\!\!\text{ }{{\text{M}}^{\text{1}}}{{\text{L}}^{\text{2}}}{{\text{T}}^{\text{-1}}}\text{ }\!\!]\!\!\text{ }\] \[\therefore \]relation\[a-4,b-3\] is right.


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