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

  • question_answer
    If two rods of length L and 2L having coefficients of linear expansion \[\alpha \] and \[2\alpha \] respectively are connected so that total length becomes 3L, the average coefficient of linear expansion of the composite rod equals :

    A) \[\frac{3}{2}\alpha \]                             

    B) \[\frac{5}{2}\alpha \]

    C) \[\frac{5}{3}\alpha \]                 

    D) none of these

    Correct Answer: C

    Solution :

    \[(3L){{\alpha }_{_{eff}}}\Delta \theta =L\alpha \Delta \theta +2L(2\alpha )(\Delta \theta )\]
    \[\therefore \]      \[{{\alpha }_{eff}}=\frac{5}{3}\alpha \]


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