Properties Of Solids And Liquids Question 255

Question: A $ U $ -tube containing a liquid is accelerated horizontally with a constant acceleration a. If the separation between the two vertical limbs is $ l $ , then the difference in the heights of the liquid in the two arms is

Options:

A) Zero

B) $ l $

C) $ \frac{la}{g} $

D) $ \frac{la}{a} $

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Answer:

Correct Answer: C

Solution:

[c] We know; $ \tan \theta =\frac{a}{g} $

In the present problem, $ \tan \theta =\frac{h}{l} $

So $ \frac{h}{l}=\frac{a}{g} $

or $ h=\frac{al}{g} $ (Where h is the difference in the heights in the two limbs)



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