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

  • question_answer
    A vertical column 50 cm long at 50°C balances another column of same liquid 60 cm long at 100°C. The coefficient of absolute expansion of the liquid is                     [EAMCET 1990]

    A)            0.005/°C                                 

    B)            0.0005/°C

    C)            0.002/°C                                 

    D)            0.0002/°C

    Correct Answer: A

    Solution :

    \[\frac{{{h}_{1}}}{{{h}_{2}}}=\frac{{{\rho }_{1}}}{{{\rho }_{2}}}=\frac{(1+\gamma \,{{\theta }_{1}})}{(1+\gamma \,{{\theta }_{2}})}\]                       \[\left[ \because \,\rho =\frac{{{\rho }_{0}}}{(1+\gamma \theta )} \right]\]                    Þ \[\frac{50}{60}=\frac{1+\gamma \times 50}{1+\gamma \times 100}\] Þ \[\gamma =0.005/{}^\circ C\]


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