Fluid pressure Quiz 1

Question 1

The aqueous humor is a transparent liquid made of water, sugars, vitamins, proteins and other nutrients and occupies the space between the lens and the cornea of the eye. This fluid is responsible for nourishing the cornea of the eye and holds the shape of the eye.  If this liquid exerts a force of $$5 	imes 10^{-2}\,N$$ on $$1.25\,cm^2$$ of the cornea then determine the pressure exerted by the aqueous humor in $$mm\,of\, Hg$$. $$(	ext{Take}\,1\,Nm^{-2} = 0.0075\,mm\,of\,Hg)$$

Accepted Answer

$$3\,mm\,of\,Hg$$

Answer

$$4\,mm\,of\,Hg$$

Answer

$$5\,mm\,of\,Hg$$

Answer

$$6\,mm\,of\,Hg$$

Question 2

Imagine that you go scuba diving in The Great Barrier Reef of Australia to spot some manta rays and feather stars that are usually found at the bottom of the sea, close to the sea floor. The majority of good dive sites where these can be spotted are found in relatively shallow areas, usually with an average depth range of $$10-25\,m$$. Your scuba gear consists of an instrument that indicates the absolute pressure acting on you at any depth. If the instrument reads $$2\,atm$$ at $$10\,m$$ where you find the manta rays, and $$3.5\,atm$$ at $$25\,m$$ where you find the feather stars then determine the change in gauge pressure, provided that the atmospheric pressure at sea level is $$1\,atm$$.

Accepted Answer

$$1.5\,atm$$

Answer

$$0.5\,atm$$

Answer

$$2.5\,atm$$

Answer

$$3.0\,atm$$

Question 3

The human heart consists of four chambers: two upper atria and two lower ventricles. The atria contract and squirt a small amount of blood into the ventricles. If the left atrium exerts a force of $$1.8\,N$$ on $$15\,cm^2$$ of blood, which produces a pressure of $$120\,mm\,of\,Hg$$ on the left ventricle then determine the pressure exerted by the left atrium on the blood. $$(	ext{Take}\,1\,Nm^{-2} = 0.0075\,mm\,of\,Hg)$$

Accepted Answer

$$9\,mm\,of\,Hg$$

Answer

$$1.8\,mm\,of\,Hg$$

Answer

$$2\,mm\,of\,Hg$$

Answer

$$18 \,mm\,of\,Hg$$

Question 4

Fill in the blank: You might have seen that water towers in your city are usually very tall and placed at a considerable height above the ground. This is done so as to impart sufficient hydrostatic pressure to the water in order to ensure an efficient distribution of water to homes and eliminates the need for water pumps. You buy a pressure gauge in order to look at the pressure with which the water comes through a tap in your home and you find it to be around $$65\,psi$$. Just from this information, you are able to find the height at which the water tower supplying water to your home might be located and you calculate it to be at around __feet. $$(	ext{Take}\,1\,psi = 6895\,Nm^{-2}\,	ext{and density of water to be}\,ho = 997\,kgm^{-3})$$

Accepted Answer

151 feet

Answer

70 feet

Answer

35 feet

Answer

100 feet

Question 5

A rainwater harvesting tank is a water tank that is used to collect and store rainwater runoff from rooftops via pipes. If a region receives $$10\,mm$$ of rainfall on a day when the rainwater is collected from a rooftop of area $$250\,m^{2}$$ then determine the average pressure exerted by the this rainwater on the collecting tank of height $$2\,m$$ and weight $$130\,kg$$ when it is empty, as shown in the given figure. <img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/03bc56a4-016a-4600-8ab0-75d02d06c5883044376867290300628.png"/>

Accepted Answer

$$666\,Nm^{-2}$$

Answer

$$555\,Nm^{-2}$$

Answer

$$777\,Nm^{-2}$$

Answer

$$888\,Nm^{-2}$$