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Chapter 10: Q8MCQ (page 260)

An object that can float in both water and in oil (whose density is less than that ofwater) experiences a buoyant force that is

(a) Greater when it is floating in oil than when floating in water.

(b) Greater when it is floating in water than when floating in oil.

(c) The same when it is floating in water or in oil.

Short Answer

Expert verified

The correct option is (b) greater when it is floating in water than when floating in oil.

Step by step solution

01

Understanding the buoyant force

The buoyant force exists when a solid object enters into a liquid. The direction of this force is vertically upward. The value of this force varies linearly with the value of the density of the liquid.

02

Explaining the buoyant force

The buoyant force can be represented by the given expression.

Fb = ρ1 Vg

Here, Fb is the buoyant force, ρ1 is the liquid density, V1 is the volume of fluid displaced by solid object and g is the gravitational acceleration.

As the density of water is more than the density of oil, the value of the buoyant force will be more in water than in oil.

Thus, from the above analysis, option (b) is correct.

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Most popular questions from this chapter

An ice cube floats in a glass of water filled to the brim. What can you say about the density of ice? As the ice melts, will the water overflow? Explain

A rowboat floats in a swimming pool, and the level of the water at the edge of the pool is marked. Consider the following situations. (i) The boat is removed from the water. (ii) The boat in the water holds an iron anchor which is removed from the boat and placed on the shore. For each situation, the level of the water will,

(a) Rise.

(b) Fall.

(c) Stay the same.

If one material has a higher density than another, must the molecules of the first be heavier than those of the second? Explain.

A copper (Cu) weight is placed on top of a 0.40-kg block of wood (\({\bf{density = 0}}{\bf{.60 \times 1}}{{\bf{0}}^{\bf{3}}}\;{\bf{kg/}}{{\bf{m}}^{\bf{3}}}\) ) floating in water, as shown in Fig. 10–58. What is the mass of the copper if the top of the wood block is exactly at the water’s surface?

Figure: 10-58

Hot air is less dense than cold air. Could a hot-air balloon be flown on the Moon, where there is no atmosphere?

(a) No, there is no cold air to displace, so no buoyancy force would exist.

(b) Yes, warm air always rises, especially in a weak gravitational field like that of the Moon.

(c) Yes, but the balloon would have to be filled with helium instead of hot air.
See all solutions

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