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JEE Main & Advanced Physics Thermometry, Calorimetry & Thermal Expansion Question Bank Self Evaluation Test - Thermal Properties of Matter

  • question_answer
    A cylindrical steel alloy is inserted into a circular hole of diameter 2.60 m in a brass plate. When the plug and the plate are at a temperature \[20{}^\circ C\], the diameter of the plug is 0.010 mm smaller than that of the hole. The temperature at which the plug will just fit in is (given and \[{{\alpha }_{steel}}=11\times \]\[1{{0}^{-6}}/{}^\circ C\]and\[{{\alpha }_{brass}} =19\times 1{{0}^{-6}}/{}^\circ C\])

    A) \[-\,20{}^\circ  C\]

    B) \[-\,48{}^\circ  C\]

    C) \[10{}^\circ  C\]

    D) None of these

    Correct Answer: B

    Solution :

    [b] \[2.60+2.60\times {{\alpha }_{steel}}\Delta T= 2.60 {{\alpha }_{brass}}\Delta T\]


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