Question

A ball whose density is \( 0.4 \times 10^3 \, \text{kg/m}^3 \) falls into water from a height of 9 cm. To what depth does the ball sink?

• A. 2 cm
• B. 6 cm
• C. 4.5 cm
• D. 2.25 cm

Hint:

The depth of sinking in a fluid can be estimated using the relationship between the densities of the object and the fluid.

Answer 1

The Correct Option is B

Step 1: Apply the principle of buoyancy.
The depth the ball sinks can be determined using Archimedes’ principle, which states that the buoyant force equals the weight of the displaced water. The density of the water is much higher than the density of the ball, so the ball sinks by 6 cm. Final Answer: \[ \boxed{6 \, \text{cm}} \]