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Q.

A vertical U-tube of uniform inner cross – section contains mercury in both sides of its arms . A glycerine (density =1.3g/cm3 ) column of length 10 cm is introduced in to one of its arms . Oil of  density 0.8g/cm3  is poured into the other arm until the upper surfaces of the oil and glycerine are in the same horizontal level . Find the length of the oil column . Density of mercury = 13.6g/cm3

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a

10.4 cm

b

8.2 cm

c

7.2 cm

d

9.6 cm

answer is D.

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Detailed Solution

h+y=10cm ρA=ρB 1.3g×10=13.6×g×y+0.8×g×h  13=13.6y+0.8h 13=13.610-h+0.8h 13=136-13.6h+0.8h 12.8h=123 h=9.6cm
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