Question

Which of the following is true regarding Archimedes’ principle?
I. It states that the weight of an object is equal to the weight of liquid it displaces
II. It states that the buoyant force increases as the density of the object in the fluid increases
III. It is not applicable for an object that is completely submerged in a liquid

• A. I and II
• B. I only
• C. III only
• D. II and III

Answer 1

The correct option is B I only

Archimedes’ principle states that the upward buoyant force experienced by a solid object in a fluid is equal to the weight of the fluid displaced. In mathematical form, Archimedes’ principles states
$F_b=m_{fluid}\times g$
$F_b=\rho Vg$

where $\rho$ is the density of the liquid and V is the volume. Notice that the density of the object is not part of Archimedes’ principle; therefore, the density of the object does not affect the buoyant force. Both submerged and floating objects in a fluid will experience an upward buoyant force that is equal to the weight of the fluid displaced; Archimedes’ principle is valid for both submerged and floating objects.