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A closed cylinder having a radius R and height H is filled with oil of density r. If the cylinder is rotated about its axis at an angular velocity of w, then thrust at the bottom of the cylinder is                              

      (a) $\pi R^{2}\rho gH$                                                                 (b)$\pi R^{2}+\frac{\rho \omega ^{2}R^{2}}{4}$

      (c)$\pi R^{2}\left ( \rho \omega ^{2}R^{2}+\rho gH \right )$                                             (d)$\pi R^{2}\left ( \frac{\rho \omega ^{2}R^{2}}{4}+\rho gH \right )$

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