NEET Physics Mathematical Tools, Units & Dimensions Question Bank Dimensions

  • question_answer
    A force \[F\] is given by \[F=at+b{{t}^{2}}\], where \[t\] is time. What are the dimensions of \[a\] and \[b\]  [AFMC 2001; BHU 1998, 2005]

    A)             \[ML{{T}^{-3}}\] and \[M{{L}^{2}}{{T}^{-4}}\]       

    B)             \[ML{{T}^{-3}}\] and \[ML{{T}^{-4}}\]

    C)             \[ML{{T}^{-1}}\] and \[ML{{T}^{0}}\]  

    D)             \[ML{{T}^{-4}}\] and \[ML{{T}^{1}}\]

    Correct Answer: B

    Solution :

                    From the principle of dimensional homogenity \[[a]=\left[ \frac{F}{t} \right]=[ML{{T}^{-3}}]\] and \[[b]=\left[ \frac{F}{{{t}^{2}}} \right]=[ML{{T}^{-4}}]\]


You need to login to perform this action.
You will be redirected in 3 sec spinner