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

  • question_answer
    The apparent coefficient of expansion of a liquid when heated in a copper vessel is C and that 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

    A) \[\frac{C+S-3A}{3}\]    

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

    C) \[\frac{S+3A-C}{3}\]      

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

    Correct Answer: B

    Solution :

    [b] \[{{\gamma }_{r}}={{\gamma }_{a}}+{{\gamma }_{v}}\]where\[{{\gamma }_{r}}\]= coefficient of real expansion, \[{{\gamma }_{a}}=\]coefficient of apparent expansion and \[{{\gamma }_{v}}=\] coefficient of expansion From copper: \[{{\gamma }_{r}}=C+3{{\alpha }_{cu}}=C+3A\] For silver, \[{{\gamma }_{r}}=S+3{{\alpha }_{Ag}}\] \[\Rightarrow C+3A=S+3{{\alpha }_{Ag}}\Rightarrow \,{{\alpha }_{Ag}}=\frac{C-S+3A}{3}\]


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