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NEET Physics Mathematical Tools, Units & Dimensions Question Bank Dimensions

  • question_answer
    Given that \[v\] is speed, \[r\] is the radius and \[g\] is the acceleration due to gravity. Which of the following is dimensionless                          [CET 1998]

    A)             \[{{v}^{2}}/rg\]       

    B)             \[{{v}^{2}}r/g\]

    C)             \[{{v}^{2}}g/r\]       

    D)             \[{{v}^{2}}rg\]

    Correct Answer: A

    Solution :

                    Angle of banking : \[\tan \theta =\frac{{{v}^{2}}}{rg}\]. i.e. \[\frac{{{v}^{2}}}{rg}\]is dimensionless.


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