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

  • question_answer
    The density of a material in CGS system of unit is\[4g/c{{m}^{3}}\]. In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the value of density of material will be

    A) 0.4

    B)  40  

    C)  400

    D)  0.04

    Correct Answer: B

    Solution :

    [b] In CGS system, \[d=4\frac{g}{c{{m}^{3}}}\] The unit of mass is 1 00g and unit of length is 10 cm, so \[density=\frac{4\left( \frac{100g}{100} \right)}{{{\left( \frac{10}{10}cm \right)}^{3}}}=\frac{\left( \frac{4}{100} \right)}{{{\left( \frac{1}{10} \right)}^{3}}}\frac{(100g)}{{{(10cm)}^{3}}}\] \[=\frac{4}{100}\times {{(10)}^{3}}.\frac{100g}{{{(10cm)}^{3}}}=40unit\]


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