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KVPY Sample Paper KVPY Stream-SX Model Paper-24

  • question_answer
    The density of a material in SI units is \[128\,kg\,{{m}^{-3}}.\] In certain units in which the unit of length is 25 cm and the unit of mass 50 g, the numerical value of density of the material is:

    A) 40

    B) 16

    C) 640      

    D) 410

    Correct Answer: A

    Solution :

    \[\frac{128kg}{{{m}^{3}}}=\frac{64(2kg)}{10c{{m}^{3}}}\]
    \[=\frac{64(2kg)}{{{10}^{6}}(50c{{m}^{3}})}\times {{50}^{3}}\]
    \[=\frac{64\times 50\times 50\times 50}{100\times 100\times 100}\times \frac{2kg}{(50c{{m}^{3}})}\]            \[=8\frac{(2kg)}{(50c{{m}^{3}})}.\]


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