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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

A fire hose exerts a force on the person holding it. This is because the water accelerates as it goes from the hose through the nozzle. How much force is required to hold a \({\bf{7}}{\bf{.0}}\;{\bf{cm}}\)-diameter hose delivering \({\bf{420}}\;{\bf{L/min}}\)through a \({\bf{0}}{\bf{.75}}\;{\bf{cm}}\)-diameter nozzle?

Giraffes are a wonder of cardiovascular engineering. Calculate the difference in pressure (in atmospheres) that the blood vessels in a giraffe’s head must accommodate as the head is lowered from a full upright position to ground level for a drink. The height of an average giraffe is about 6 m.

(II) A physician judges the health of a heart by measuring the pressure with which it pumps blood. If the physician mistakenly attaches the pressurized cuff around a standing patient’s calf (about 1 m below the heart) instead of the arm (Fig. 10–42), what error (in Pa) would be introduced in the heart’s blood pressure measurement?

(II)What gauge pressure in the water pipes is necessary if a fire hose is to spray water to a height of 16 m?

Water at a gauge pressure of \({\bf{3}}{\bf{.8}}\;{\bf{atm}}\) at street level flows into an office building at a speed of \({\bf{0}}{\bf{.78}}\;{\bf{m/s}}\) through a pipe \({\bf{5}}{\bf{.0}}\;{\bf{cm}}\)in diameter. The pipe tapers down to \({\bf{2}}{\bf{.8}}\;{\bf{cm}}\) in diameter by the top floor, \({\bf{16}}\;{\bf{m}}\) above (Fig. 10–53), where the faucet has been left open. Calculate the flow velocity and the gauge pressure in the pipe on the top floor. Assume no branch pipes and ignore viscosity.

Figure 10-53
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