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

  • question_answer
    The apparent coefficient of expansion of a liquid when heated in a copper vessel  is C and when heated in a silver vessel is S. If A is the linear coefficient of expansion of copper, then the linear coefficient of expansion of silver is [EAMCET 1991]

    A)            \[\frac{C+S-3A}{3}\]         

    B)            \[\frac{C+3A-S}{3}\]

    C)            \[\frac{S+3A-C}{3}\]         

    D)            \[\frac{C+S+3A}{3}\]

    Correct Answer: B

    Solution :

                       \[{{\gamma }_{r}}={{\gamma }_{a}}+{{\gamma }_{v}}\]; where \[{{\gamma }_{r}}=\]coefficient of real expansion, \[{{\gamma }_{a}}=\]coefficient of apparent expansion and \[{{\gamma }_{v}}=\]coefficient of expansion of vessel. For copper \[{{\gamma }_{r}}=C+3\,{{\alpha }_{Cu}}=C+3A\] For silver \[{{\gamma }_{r}}=S+3\,{{\alpha }_{Ag}}\] Þ \[C+3A=S+3{{\alpha }_{Ag}}\] Þ \[{{\alpha }_{Ag}}=\frac{C-S+3A}{3}\]


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