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Question: A block of wood floats in fresh water with two third of its volume submerged. In oil the block float...

A block of wood floats in fresh water with two third of its volume submerged. In oil the block floats with one fourth of is volume submerged. The density of oil is –

A

2666.7 kg/m3

B

5333.3 kg/m3

C

1333.3 kg/m3

D

3333.3 kg/m3

Answer

2666.7 kg/m3

Explanation

Solution

rw 23\frac { 2 } { 3 } V = rbV

roil 14\frac { 1 } { 4 } V = rbV

\ 23\frac { 2 } { 3 } rw = 14\frac { 1 } { 4 } roil

roil = 83\frac { 8 } { 3 } rw

= 80003\frac { 8000 } { 3 } = 2666.7