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A U-tube containing a liquid is accelera...

A U-tube containing a liquid is accelerated horizontally with a constant acceleration `a_0`. If the separation between the vertical limbs is l find the difference in the heights of the liquid in the two arms.

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Verified by Experts

The correct Answer is:
A

Since the U tube is accelerated horizotaly inertia force will be experience by the horizontal part.
`If P_ararr atm pressure
Ararr area of cross section
`hrarr ` increase in height
`P_aA+AxxLxxPxxa_0`
`=P_a A+hrhogxxA`
`rarr hg=a_0L`
`rarr h=(a_0L)/g`
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