KVPY Sample Paper KVPY Stream-SX Model Paper-2

  • question_answer
    The thickness of a piece of paper is \[0.0036\] inch Suppose a certain book has an Avogadro's number of pages calculate the thickness of the book in light-years. (1 light-year equal to \[~5.88\text{ }\times \text{1}{{\text{0}}^{12}}\]miles)

    A) \[2.5\times {{10}^{2}}\]                      

    B) \[5.8\times {{10}^{3}}\]

    C) \[8.5\times 1{{0}^{4}}\]           

    D) \[5.8\times 1{{0}^{6}}~\]

    Correct Answer: B

    Solution :

    [b] the thickness of the book in miles would be: \[0.00.36\]in /1 pages \[\times \]1ft/12 in\[\times \]1 mile/ 5280ft \[\times \]6.022\[\times \]\[{{10}^{23}}\]pages =3.42\[\times \]\[{{10}^{16}}\] mile the distance, in miles travelled by light in one year is: 1.0yr\[\times \]365day/1yr\[\times \]24h /1day \[\times \]3600s/ 1h\[\times \]3.0\[\times \]\[{{10}^{8}}\]m/1s\[\times \]1mile /1609m =5.88\[\times \]\[{{10}^{12}}\] mile the thickness of the book in light-years is: 3.42\[\times {{10}^{16}}\]mile\[\times \]1 light-yr/5.88\[\times \]\[{{10}^{12}}\]mile =5.8\[\times \]\[{{10}^{3}}\]light yr


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