NEET Physics Mathematical Tools, Units & Dimensions NEET PYQ-Mathematical Tools, Units and Dimensions

  • question_answer
    The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are [AIPMT (S) 2012]

    A) \[kg\,m{{s}^{-1}}\]

    B) \[kg\,m{{s}^{-2}}\]

    C) \[kg\,{{s}^{-1}}\]

    D) \[kg\,s\]

    Correct Answer: C

    Solution :

    Given, Damping force \[\propto \] velocity
    \[F\propto v\]
    \[F=kv\]
    \[k=\frac{F}{v}\]          
    Unit of   \[k\,=\frac{\text{unit}\,\text{of}\,F}{\text{unit}\,\text{of}\,v}\]
    \[\,=\frac{kg-m{{s}^{-2}}}{m{{s}^{-1}}}=kg{{s}^{-1}}\]


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