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NEET Physics Thermometry, Calorimetry & Thermal Expansion NEET PYQ-Thermometry, Calorimetry and Thermal Expansion

  • question_answer
    The quantities of heat required to raise the temperature of two solid copper spheres of radii \[{{r}_{1}}\] and \[{{r}_{2}}\text{ (}{{r}_{1}}=1.5\text{ }{{r}_{2}})\] through 1 K are in the ratio:               [NEET 2020]

    A)  \[\frac{9}{4}\]             

    B)       \[\frac{3}{2}\]

    C)  \[\frac{5}{3}\]             

    D)       \[\frac{27}{8}\]

    Correct Answer: D

    Solution :

    [d] \[\Delta Q=ms\Delta T\]
    \[\Delta Q=\frac{4}{3}\pi {{r}^{3}}\rho s\Delta T\]
    \[\frac{\Delta {{Q}_{1}}}{\Delta {{Q}_{2}}}={{\left( \frac{{{r}_{1}}}{{{r}_{2}}} \right)}^{3}}\]
    \[={{(1.5)}^{3}}\]
    \[=\frac{27}{8}\]


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