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Q.

Three different liquids are filled in U-tube as shown in figure. Their densities are ρ1, ρ2 and ρ3 , decreasing, respectively. From the figure, we may conclude that

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a

ρ2 >ρ1

b

ρ1 >ρ2

c

ρ3 = 2ρ2 - ρ1

d

ρ1 = ρ2 + ρ12

answer is A, C.

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Detailed Solution

Using Bemoulli’s equation, we obtain

ρ1gh + ρ3gh2 = ρ2gh

Figure shows an indicator diagram. During path 1-2-3, 100 cal is given to the system and 40 cal worth work is done. During path 1-4-3, the work done is 10 cal. Then

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