JEE Main & Advanced Physics Mathematical Tools, Units & Dimensions Question Bank Self Evaluation Test - Physical World, Units and Measurements

  • question_answer
    In a certain system of units, 1 unit of time is 5 sec, 1 unit of mass is 20 kg and 1 unit of length is 10m. In this system, one unit of power will correspond to-

    A)  16 watts

    B)  \[\frac{1}{16}\]watts

    C)  25 watts

    D)  \[\frac{1}{25}\]watts

    Correct Answer: B

    Solution :

    [b] \[1\text{ }sec*=5\text{ }sec,\text{ }1kg*=20\text{ }kg,\text{ }1m*=10m\] \[1\,watt=1kg\,{{m}^{2}}{{\sec }^{-3}}\] \[=\frac{1}{20}kg*{{\left( \frac{1}{10}m* \right)}^{2}}{{\left( \frac{1}{5}\sec * \right)}^{-3}}\] \[=\frac{1}{20}\times \frac{1}{100}\times 125kg*m{{*}^{2}}\sec {{*}^{-3}}=\frac{1}{16}watt*\]


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