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  • A U-tube of base length l is filled with the same volume of two liquids of densities  and <img alt="2\r

A U-tube of base length l is filled with the same volume of two liquids of densities \rho and 2\rho is moving with an acceleration a on the horizontal plane. If the height difference between the two surfaces (open to the atmosphere) becomes zero. then the height h is given by:

 

Option: 1

\frac{al}{g}


Option: 2

\frac{3al}{2g}


Option: 3

\frac{2al}{3g}


Option: 4

\frac{al}{2g}


Answers (1)

best_answer

According to the pressure equation from one end to another end of the tube:

P_{0} + 2\rho g h - 2 \rho \frac{l}{2} a - \rho \frac{l}{2} a - \rho g h = P_{0}

P_{0} + 2\rho g h - \rho \l a - \frac{\rho l a}{2} - \rho g h = P_{0}

2gh = 3al

h = \frac{3al}{2g}

Posted by

Pankaj

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