A rectangular block of wood floats in water with two-thirds of its volume immersed. When placed in another liquid, it floats with half of its volume immersed. Calculate the relative density of the liquid
A
1.43
B
1.33
C
1.00
D
0.83
E
0.75
Verified Correct Answer: B.
Physical Principles & Numerical Solution
from the first statement, mg = \(\frac{2}{3}Vp_wg\) ........................1
from second statement, mg = \(\frac{1}{2}Vp_lg \)...................2
equating equations 1 and 2 we have that
\(\frac{2}{3}Vp_wg\) = \(\frac{1}{2}Vp_lg\)
\(\frac{4}{3} = \frac{p_l}{p_w}\)
= 1.33
Source: Myschool Past Questions Archive (Record #33507)