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Fig. Shows a U-tube of uniform cross-sectional area A accelerated with acceleration a as shown. If d is the separation between the limbs, then the difference in the levels of the liquid in the U-tube is

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a

adg

b

gad

c

adg

d

ad+g

answer is A.

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Detailed Solution

Mass of liquid in horizontal portion of U-tube = A dρPseudo force on this mass = AdρaForce due to pressure difference in the two limbs=(h1ρg-h2ρg)AEquating, (h1-h2)ρgA = Adρaor h1-h2 = AdρaρgA = adg

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