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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2011

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

    A)  \[\frac{27}{8}\]                               

    B)  \[\frac{9}{4}\]

    C)  \[\frac{3}{2}\]                                  

    D)  1

    Correct Answer: B

    Solution :

    Required heat,  \[Q\propto {{r}^{3}}\]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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