Fluid Mechanics Viscosity Question 272
Question: Two wooden blocks A and B float in a liquid of density $ {\rho_{L}} $ as shown. The distance L and H are shown. After some time, block B falls into the liquid, so that L decreases and H increases. If density of block B is$ {\rho_{B}} $ , find the correct option.
Options:
A) $ {\rho_{{L}}}={\rho{B}} $
B) $ {\rho_{{L}}}>{\rho{B}} $
C) $ {\rho_{{L}}}<{\rho{B}} $
D) unpredictable
Show Answer
Answer:
Correct Answer: B
Solution:
[b] As block B falls, L will decrease. Block B will displace, volume of liquid ($ V_{1} $ ) Equal to its own volume when it is in the liquid. $ V_{1}=V_{B}=\frac{M_{B}}{{\rho_{B}}} $ …(i) When block B is on block A, it will displace the volume of liquid ($ V_{2} $ ) whose weight is equal to the weight of the block B $ V_{2}{\rho_{L}}g=M_{B}g=(V_{1}{\rho_{B}})g, $ or. Since H increases, $ V_{1}>V_{2} $ So, $ {\rho_{L}}>{\rho_{B}} $ .
BETA
