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JEE Main & Advanced Sample Paper JEE Main Sample Paper-10

  • question_answer
    Three bodies A, B and C of masses m, m and\[\sqrt{3}m\]respectively are supplied heat at a constant rate. The change in temperature\[\theta \]versus time t graph for A, B and C are shown by I, II and III respectively. If their specific heat capacities are\[{{S}_{A}},{{S}_{B}}\]and\[{{S}_{C}}\]respectively then which of the following relation is correct? (Initial temperature of each body is \[0{}^\circ C\])                 

    A)  \[{{S}_{A}}>{{S}_{B}}>{{S}_{C}}\]            

    B)  \[{{S}_{B}}={{S}_{C}}<{{S}_{A}}\]

    C)  \[{{S}_{A}}={{S}_{B}}={{S}_{C}}\]            

    D)  \[{{S}_{A}}={{S}_{B}}>{{S}_{C}}\]

    Correct Answer: D

    Solution :

     If R is rate of heating, \[\Delta Q=ms(\theta )\] \[Rt=ms\theta \Rightarrow \theta =\left( \frac{R}{ms} \right)t\] Slope of\[\theta -t\]curve\[=\frac{R}{ms}=\tan \phi \] From it we conclude, \[{{S}_{A}}={{S}_{B}}>{{S}_{C}}\] Because\[\frac{R}{ms}\]for both A and 6 are same.


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