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

  • question_answer
    The coefficient of volumetric expansion of mercury is 18 × 10?5/ºC. A thermometer bulb has a volume 10?6 m3 and cross section of stem is 0.004 cm2. Assuming that bulb is filled with mercury at 0ºC then the length of the mercury column at 100ºC is                      [Pb. PMT 1998, DPMT 1997, 2001]

    A)            18.8 mm                                 

    B)            9.2 mm

    C)            7.4 cm                                     

    D)            4.5 cm

    Correct Answer: D

    Solution :

                       V = V0(1 + g Dq)  Þ Change in volume \[V-{{V}_{0}}=\Delta V=A.\Delta l={{V}_{0}}\gamma \Delta \theta \] Þ Dl = \[\frac{{{V}_{0}}.\Delta \theta }{A}\] = \[\frac{{{10}^{-6}}\times 18\times {{10}^{-5}}\times (100-0)}{0.004\times {{10}^{-4}}}\] = 45 × 10?3 m = 4.5 cm


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