2. Sample Papers
  3. JEE Main & Advanced
  4. Physics
  5. Thermometry, Calorimetry & Thermal Expansion

JEE Main & Advanced Physics Thermometry, Calorimetry & Thermal Expansion Sample Paper Topic Test - Thermometry, Calorimetry & Thermal Expansion

  • question_answer
    A wooden cylinder of 50 kg is floating in water. A weight of 2 kg is to be placed on it to just make it submerge when the temperature is \[10{}^\circ C\]. How much less weight is to be placed when temperature increases to \[30{}^\circ C\]? (Given \[{{\gamma }_{water}}={{10}^{-4}}{{/}^{o}}C,{{\gamma }_{wood}}\] is negligible.):

    A) 104 g       

    B) 58 g

    C) 208 g                           

    D) 54 g

    Correct Answer: A

    Solution :

                
    \[mg+Mg={{\rho }_{\omega }}Vg\]
    \[m'g+Mg=\frac{{{\rho }_{\omega }}}{1+\gamma \Delta T}Vg\]
    \[m-m'=\rho \left( \omega -\frac{{{\rho }_{\omega }}}{1+\gamma \Delta T} \right)g\left( \frac{{{\rho }_{\omega }}\gamma \Delta T}{1+\gamma \Delta T} \right){{V}_{g}}\]
    \[52g={{\rho }_{\omega }}Vg\]
    \[2-m'\approx \frac{52\times {{10}^{-4}}\times 20}{1}=104\,gm.\]


You need to login to perform this action.
You will be redirected in 3 sec spinner