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JEE Main & Advanced Sample Paper JEE Main Sample Paper-20

  • question_answer
    DIRECTION (Qs. 48): Each of these questions contains two statements: Statements -1 (Assertion) and Statements -2 (Reason). Choose the correct answer (ONNLY ONE option is correct) from the following. This question contains Statement-1 and Statement-2. Of the four choices given after the statements, choose the one that best describes the two statements. Gas in cylinder with light piston is slowly heated till all the mercury spils over. (\[{{P}_{atm}}=76cm\]of \[Hg\] column)
    Statement 1: The temperature of gas continuously increases.
    Statement 2: According to first law of thermodynamics \[dQ=dU+dW\] where symbols have their usual meaning.

    A)  Statement-1 is false, Statement-2 is true.

    B)  Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1

    C)  Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1

    D)  Statement-1 is true, Statement-2 is false.

    Correct Answer: A

    Solution :

     Initial condition Volume \[=76cm\times A\] Pressure \[=(76+76)dg\,=152\,dg\] Final condition Volume \[=152cm\times A\] Pressure \[=76\,dg\] \[\therefore \]  \[{{O}_{1}}{{V}_{1}}={{P}_{2}}{{V}_{2}}\] \[\therefore \] Both points lie on the same isothermal line i.e. both have same T.


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