JEE Main & Advanced Physics Mathematical Tools, Units & Dimensions Question Bank Critical Thinking

  • question_answer
    If the acceleration due to gravity is \[10\,m{{s}^{-2}}\] and the units of length and time are changed in kilometer and hour respectively, the numerical value of the acceleration is   [Kerala PET 2002]

    A)             360000

    B)                      72,000

    C)                         36,000                        

    D)                         129600

    Correct Answer: D

    Solution :

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


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