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JEE Main & Advanced Physics Thermometry, Calorimetry & Thermal Expansion Question Bank Critical Thinking

  • question_answer
    The coefficient of apparent expansion of mercury in a glass vessel is 153 × 10?6/ºC  and in a steel vessel is 144 × 10?6/ºC. If a for steel is 12 × 10?6/ºC, then that of glass is [EAMCET 1997]

    A)            9 × 10?6/ºC                            

    B)            6 × 10?6/ºC

    C)            36 × 10?6/ºC                          

    D)            27 × 10?6/ºC

    Correct Answer: A

    Solution :

                       greal = gapp. + gvessel So (gapp. + gvessel)glass = (gapp. + gvessel)steel Þ 153 × 10?6 + (gvessel)glass = (144 × 10?6 + gvessel)steel Further, (gvessel)steel = 3a = 3 × (12 × 10?6) = 36 × 10?6/ºC Þ  153 × 10?6 + (gvessel)glass = 144 × 10?6 + 36 × 10?6 Þ  (gvessel)glass = 3a = 27 × 10?6/ºC Þ a = 9 × 10?6/ºC


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