2. Questions Bank
  3. JEE Main & Advanced
  4. Physics
  5. Mathematical Tools, Units & Dimensions

JEE Main & Advanced Physics Mathematical Tools, Units & Dimensions Question Bank Mock Test - Units Dimenstions and Measurment

  • question_answer
    The dimensional formula for a physical quantity \[x\] is\[[{{M}^{-1}}{{L}^{3}}{{T}^{-2}}]\]. The errors in measuring the quantities M, L, and F, respectively, are 2%, 3%, and 4%. What is the maximum percentage of error that occurs in measuring the quantity x?

    A) 20

    B) 19

    C) 21

    D) 22

    Correct Answer: B

    Solution :

    (19) \[X={{M}^{-1}}{{L}^{-3}}{{T}^{-2}}\] \[\frac{\Delta X}{X}=\frac{\Delta M}{M}+3\frac{\Delta L}{L}+2\frac{\Delta T}{T}\] \[=2+3\times 3+2\times 4=19\]


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