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A vertical U-tube of uniform inner cros...

A vertical U-tube of uniform inner cross-section contains mercury in both of its arms. A glycerine `("density" 1.3 "gcm"^(-3))` column of length `10 cm `is introduced into one of the arms Oil of density `0.8 "gcm"^(-3)` is poured in the other arm until the upper surface of the oil and glycerine are in the same horizontal level. Find the length of the oil column.

A

10.4 cm

B

8.2 cm

C

7.2 cm

D

9.6 cm

Text Solution

Verified by Experts

The correct Answer is:
D

`P_A=P_B`
`implies 10xx1.3 xx g=h xx 0.8xx g+(10-h)xx13.6 xx g`
`implies 13=10xx13.6 - h xx13.6+0.8h`
`implies 12.8h=123 implies h =9.6` cm
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