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A cubical block of wood having an edge 1...

A cubical block of wood having an edge 10 cm and mass 0.92 kg floats on a tank of water with oil of relative density 0.5 to a height of 4 cm above water. When the block attains equilibrium with four of its edges vertical

A

`1 cm` of it will be above the free surface of oil.

B

`5 cm` of it will be under water.

C

`2 cm` of it will be above the common surface of oil and water.

D

`8 cm` of it will be under water.

Text Solution

Verified by Experts

The correct Answer is:
C, D
Assuming that the block is completely submerged in water, then
`F_(b) = 1000 gt mg(920)` So, not possible
Let complete in oil
`F_(b) = (0.6)(4)(1000 + (1)(6)(100) = 840`
`F_(b) lt mg` So, not possible
So, let `'x'` part in oil and remaining in water
`920 = [(1)(10 - x) + (0.6)(x)] 100`
`9.2 = 10 - x + 0.6 x`
`0.4 x = 0.8`
`x = 2 cm`.
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