Question

A solid weighs W1 in air, W2 when fully immersed in water, and W3 when fully immersed in another liquid. The relative density of the liquid is

A. W1/(W2-W3)
B. W1/(W1-W2)
C. (W1-W3)/(W1-W2)
D(W1-W2)/(W1-W3)

I'm thinking the answer is C but I'm not quite sure... relative density is density of substance divided by density of water... A and B are eliminated since we're looking for relative density of the liquid. and with C and D, C is the one with W2 in the denominator... :/ what's the right answer?

Answer 1

Write down the equation of the forces acting on the mass in water in terms of the objects mass, volume and and density of water; and the variables W1 and W2

Then write down the equation for the section situation in terms of the same variables, except W3 for W2.

Answer 2

Then you want to find the expression for
\[ \frac{\rho_{liquid}}{\rho_{water}} \]

Answer 3

I'll try that, thanks

Answer 4

(and in second situation density of liquid for density of water, obviously)