JEE Main & Advanced Sample Paper JEE Main Sample Paper-47

  • question_answer
    At rest, a liquid stands at the same level in the tubes. As the system is given an acceleration a towards the right. A height difference h occurs as shown in the figure. The value of h is      

    A)  \[\frac{aL}{2g}\]                               

    B)  \[\frac{gL}{2a}\]

    C)  \[\frac{gL}{a}\]                                 

    D)  \[\frac{aL}{g}\]

    Correct Answer: D

    Solution :

     Newton?s equations are, \[A\Delta p\,\,\sin \theta \,=ma\] and      \[A\Delta p\,\,\cos \theta \,=mg\] By Eqs. (i) and (ii), we get \[\tan \,\theta =\frac{a}{g}=\frac{h}{L}\] or            \[h=\frac{aL}{g}\]

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