Home Physics Fluid Mechanics Mix A long u tube is filled with a liquid of den…
Physics Fluid Mechanics Mix MCQ (Single Correct)

A long u tube is filled with a liquid of density ‘ ρ ’ such that length of tube above liquid is ‘a’ in both arm. One side of tube (right arm) is sealed the tube is inverted (‘P 0 ’ atmospheric pressure)

A
Liquid will spill out the left tube if a <
B
Liquid will not spill out the left tube for any value of ‘a’
C
Liquid surface in left arm will not move if a =
D
Liquid surface in right arm will come down

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Text Solution

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The correct answer is:
CHECK THE SOLUTION.

(a, c)

Let pressure of gas in right arm in inverted position be ‘P’.

∴ P (a + x) = P 0 . a …(i)

P + 2x ρ g = P …(ii)

From (i) and (ii)

x =

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