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CET Karnataka Medical CET - Karnataka Medical Solved Paper-2011

  • question_answer
    The quantities of heat required to raise the temperatures of two copper spheres of radii \[{{r}_{1}}\] and \[{{r}_{2}}\] \[\left( {{r}_{1}}=\text{ }1.5\text{ }{{r}_{2}} \right)\] through 1 K are in the ratio of

    A)  \[\frac{27}{8}\]

    B)  \[\frac{9}{4}\]

    C)  \[\frac{3}{2}\]

    D)  \[1\]

    Correct Answer: B

    Solution :

    Required heat,\[Q\propto {{r}^{2}}\]where r is the radius. \[\therefore \] \[\frac{{{Q}_{1}}}{{{Q}_{2}}}=\frac{r_{1}^{2}}{r_{2}^{2}}\] \[\frac{{{Q}_{1}}}{{{Q}_{2}}}=\frac{{{(1.5)}^{2}}}{{{(1)}^{2}}}\] \[\frac{{{Q}_{1}}}{{{Q}_{2}}}=\frac{9}{4}\]


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