Q.

A U-shaped tube contains a liquid of density ρ and it is rotated about the left dotted line as shown in the figure. Find the difference in the levels of the liquid column.

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a

22ω2L2g

b

ω2L222g

c

2ω2L2g

d

ω2L22g

answer is B.

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Detailed Solution

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dF=dmxω2 and (dp)A=(ρAdx)×ω2

p1p2dp=ρω20Lxdx=

 or P2P1=ρω2L22

ρgH=ρω2L22;H=ω2L22g

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A U-shaped tube contains a liquid of density ρ and it is rotated about the left dotted line as shown in the figure. Find the difference in the levels of the liquid column.