NEET Sample Paper NEET Sample Test Paper-15

  • question_answer When at rest, a liquid stands at the same level in the tubes shown in the figure. But as indicated a height difference h occurs when the system is given an acceleration a towards the right. Here h is equal to:

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

    B) \[\frac{gL}{2a}\]

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

    D) \[\frac{aL}{g}\] 

    Correct Answer: D

    Solution :

    Let \[{{P}_{1}}\]and \[{{P}_{2}}\]be the pressures at the bottom of the left and right end of the tube respectively. Then \[F=({{P}_{1}}-{{P}_{2}})A=\rho ghA\] Where A is the cross-section of the tube. The mass of the liquid in the horizontal position is \[m=\rho LA\] Now,\[F=ma,\]so \[\rho gh\,A=\rho LAa,\]\[\therefore \]\[h=\frac{aL}{g}\] Hence, the correction option is [d].

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