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

  • question_answer
    Density of substance at 0°C is 10 gm/cc and at 100°C, its density is 9.7 gm/cc. The coefficient of linear expansion of the substance will be                                    [BHU 1996; Pb. PMT 1999; DPMT 1998, 2003]

    A)            102

    B)            10?2

    C)            10?3                                          

    D)            10?4

    Correct Answer: D

    Solution :

    Coefficient of volume expansion \[\gamma =\frac{\Delta \rho }{\rho .\Delta T}=\frac{({{\rho }_{1}}-{{\rho }_{2}})}{\rho .(\Delta \theta )}=\frac{(10-9.7)}{10\times (100-0)}=3\times {{10}^{-4}}\] Hence, coefficient of linear expansion \[\alpha =\frac{\gamma }{3}={{10}^{-4}}/{}^\circ C\]


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