Home Physics Fluid Mechanics NTA Abhiyas Question A layer of oil with density 724 kg m -3 floa…
Physics Fluid Mechanics NTA Abhiyas Question MCQ (Single Correct)

A layer of oil with density 724 kg m -3 floats on water of density 1000 kg m -3 . A block floats on the oil-water interface with 1/6 of its volume in oil and 5/6 of its volume in water, as shown in the figure. What is the density of the block?

A
1024 kg m -3
B
1276 kg m -3
C
776 kg m -3
D
954 kg m -3

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Verified by Experts
The correct answer is:
D

Given,

Density of oil = 724 kg/m 3

Density of water = 1000 kg/m 3

According to Archimedes' principle,

Up thrust = Weight of the liquid displaced

(V 0 and V w are volumes of oil and water displaced respectively)

, where =density of block.

and, and

= 954 kg/m 3

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