2. Sample Papers
  3. JEE Main & Advanced

JEE Main & Advanced Sample Paper JEE Main - Mock Test - 44

  • question_answer
    In an adiabatic process, pressure increases by \[\frac{2}{3}%\]  If \[\frac{{{C}_{P}}}{{{C}_{V}}}=\frac{3}{2}\], then the volume decreases by about:

    A) \[\frac{4}{9}%\]

    B)                                \[\frac{2}{3}%\]

    C) 4 %                  

    D)        \[\frac{9}{4}%\]

    Correct Answer: A

    Solution :

    [a] \[P{{V}^{\gamma }}=constant\text{ }\left( k \right)\] \[\ell nP+\frac{3}{2}\ell nV=\ell nk\] \[\therefore \frac{\Delta P}{P}+\frac{3}{2}\frac{\Delta V}{V}=0\] \[\therefore \frac{\Delta V}{V}=-\frac{2}{3}\frac{\Delta P}{P}\] \[\therefore \frac{\Delta V}{V}\times 100=-\frac{2}{3}\left( \frac{\Delta P}{P}\times 100 \right)=-\frac{4}{9}\] \[\therefore \] Volume decreases by about \[\frac{4}{9}%\]


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