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

  • question_answer
    If the acceleration due to gravity is \[10m{{s}^{-2}}\] and the units of length and time are changed in kilometer and hour respectively, what is the numerical value of the acceleration?

    A) 129800

    B) 130000

    C) 129600

    D) 128000

    Correct Answer: C

    Solution :

    (129600) \[{{n}_{2}}={{n}_{1}}{{\left[ \frac{{{L}_{1}}}{{{L}_{2}}} \right]}^{1}}{{\left[ \frac{{{T}_{1}}}{{{T}_{2}}} \right]}^{-2}}=10{{\left[ \frac{meter}{km} \right]}^{1}}{{\left[ \frac{\sec }{hr} \right]}^{-2}}\] \[{{n}_{2}}=10{{\left[ \frac{m}{{{10}^{3}}m} \right]}^{1}}{{\left[ \frac{\sec }{3600\sec } \right]}^{-2}}=129600\]


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