Question

The wooden block is removed from the water bath and placed in an unknown liquid. In this liquid, only one-third of the wooden block is submerged. Is the unknown liquid more or less dense than water?

Answer 1

Answer:

1.5 g/cm^3

Explanation:

In the question i am assuming that wooden block of weight W floats with exactly one-half of its volume below the waterline.

Let ρ_{liquid} be the density of the unknown liquid , V= volume submerged

g= acceleration due to gravity

then

weight of block = $\rho_{water}\times V\times g/2$

when the block is in water

Also,

weight of block = $\rho_{liquid}\times V\times g/3$

dividing eq 1 by eq 2 we get

$\rho_{liquid} = 3/2 \rho_{water}$

⇒$\rho_{liquid} = 3/2$