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

  • question_answer
    In C.G.S. system the magnitutde of the force is 100 dynes. In another system where the fundamental physical quantities are kilogram, metre and minute, the magnitude of the force is [EAMCET 2001]

    A) 0.036

    B) 0.36

    C) 3.6

    D) 36

    Correct Answer: C

    Solution :

    \[{{n}_{2}}={{n}_{1}}{{\left( \frac{{{M}_{1}}}{{{M}_{2}}} \right)}^{1}}{{\left( \frac{{{L}_{1}}}{{{L}_{2}}} \right)}^{1}}{{\left( \frac{T}{{{T}_{2}}} \right)}^{-2}}\] = \[100{{\left( \frac{gm}{kg} \right)}^{1}}{{\left( \frac{cm}{m} \right)}^{1}}{{\left( \frac{\sec }{min} \right)}^{-2}}\] = \[100{{\left( \frac{gm}{{{10}^{3}}gm} \right)}^{1}}{{\left( \frac{cm}{{{10}^{2}}cm} \right)}^{1}}{{\left( \frac{\sec }{60\sec } \right)}^{-2}}\] n2 = \[\frac{3600}{{{10}^{3}}}=3.6\]


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