Question

:105 kg Problem 4.13 It is observed that one third of the volume of a body is immersed when the body is floating a tank of liquid of density p. When the body is 3 floating in a liquid of densityp, the 4 fraction of the volume of the body immersed will be A. of the body becomes submerged 3 B. of the body becomes submerged 9 C. the body sinks to the bottom of the tank D. the body becomes completely submerged 1 of the body becomes submerged E. 4 Answer: B

Answer 1

For a body to float in a liquid, its weight should be balanced by force of buoyancy

mg=force of buoyancy(F_B)

immer sed

mg is constant in both the cases, so,

$\rho.g.(V/3)=(3/4)\rho.g.V_{f}$

$V_{f}=(4/9)V$

(B.)