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A trolley containing a liquid of density `rho` slides down a smooth inclined plane of angle `alpha` with horizontal. The angle of inclination `theta` of the free surface with the horizontal is A. Equal to `alpha`B. Greater than `alpha`C. Equal to `(alpha)/(2)`D. Lesser than `alpha` |
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Answer» Correct Answer - A The effective value of `alpha` at a distance x from the left end is `alpha=alpha_(1)+((alpha_(2)-alpha_(1))/(l))x` `Deltal=underset(0)overset(l)intalpha(dx)DeltaT` `Deltal=underset(0)overset(l)int[alpha_(1)+((alpha_(2)-alpha_(1))/(l))xx]d xx DeltaT` `Deltal=DeltaT[alpha_(1)l+(alpha_(2)-alpha_(1))/(2l)l^(2)]` `Deltal=DeltaTl[(alpha_(1)+alpha_(2))/(2)]` |
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