30 Questions MCQ Test Physics Class 11 - Test: Fluids
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The tube shown is of uniform cross-section. Liquid flows through it at a constant speed in the direction shown by the arrows. The liquid exerts on the tube
Detailed Solution for Test: Fluids - Question 3
The forces exerted by the liquid at the bends are shown. (The liquid undergoes change of momentum only at these points, and hence the liquid and tube exert forces on each other.) The two forces form a couple exerting a clockwise torque.
Water coming out of the mouth of a tap and falling vertically in streamline flow forms a tapering column, i.e., the area of cross-section of the liquid column decreases as it moves down. Which of the following is the most accurate explanation for this?
A cylindrical drum, open at the top, contains 30 litres of water. It drains out through a small opening at the bottom.10 litre of water comes out in time t, the next 10 litres in a further time t2 and the last 10 litres in a further time t3.Then
Detailed Solution for Test: Fluids - Question 5
We know that,
Velocity of efflux is given as v = √2gh
As the water level in the tank decreases, the velocity with which water comes out from the opening decreases due to decrease in pressure with height. Hence, the time taken to empty the tank increases with decrease in velocity and height of water level.
Hence C is the correct answer.
The valve V in the bent tube is initially kept closed. Two soap bubbles A (smaller) and B (larger) are formed at the two open ends of the tube. V is now opened, and air can flow freely between the bubbles.
A piece of cork starts from rest at the bottom of a lake and floats up. Its velocity v is plotted against time t. Which of the following best represents the resulting curve?
Detailed Solution for Test: Fluids - Question 8
As the cork moves up, the force due to buoyancy remains constant. As its speed increases, the retarding force due to viscosity increases, being proportional to the speed. Thus. the acceleration gradually decreases. The acceleration is variable, and hence the relation between velocity and time is not linear.
A tank with vertical walls is mounted so that its base is at a height H above the horizontal ground. The tank is filled with water to the depth h. A hole is punched in the side wall of the tank at a depth x below the water surface. To have maximum range of the emerging stream, the value of x is
Detailed Solution for Test: Fluids - Question 10
To have the maximum range of the emerging stream, the value of x is to be (h/2) where h is the depth of water.
A liquid of density ρ and coefficient of viscosity η, flows with velocity v through a tube of diameter D. A quantity R = ρVD/ η determines whether the flow will be streamlined or turbulent. R has the dimension of
There are two identical small holes on the opposite sides of a tank containing a liquid. The tank is open at the top. The difference in height between the two holes is h. As the liquid comes out of the two holes, the tank will experience a net horizontal force proportional to
Detailed Solution for Test: Fluids - Question 20
Let ρ = density of the liquid.
Let α = area of a cross-section of each hole.
Volume of liquid discharged per second at a hole = αv.
Mass of liquid discharged per second = αvρ.
Momentum of liquid discharged per second = αv2ρ.
∴ the force exerted at the upper hole (to the right) = αρv22
and the force exerted at the lower hole (to the left) = αρv12
A constant height of 20 cm maintained in the contains water of 1 kg as shown in figure. A small orifice area 10-2 m2 is made at bottom to the vertical wall of container the ejected water is directed as shown in figure. Assuming mass of container is negligible, the net force on container is
Water flows through a horizontal tube as shown in figure. If the difference of heights of water column in the vertical tubes is 60 m, and the areas areas of cross-section at A and B are 4m2 and 2 m2 respectively , find the rate of flow of water across any section is
Detailed Solution for Test: Fluids - Question 27
Using the following relations,
We get = 2gh = 1200 and V2 = 2V1
Therefore, V1 = 20, V2 = 40m/s and the rate of flow of water = 80 m3/s
A tube has two area of cross-sections as shown in figure. The diameters of the tube are 8 mm and 2 mm. Find range of water falling on horizontal surface, if piston is moving with a constant velocity of 0.25m/s, h = 1.25 m (g = 10 m/s2)
A large open tank has two holes in the wall. One is a square hole of side L at a depth y from the top and the other is a circular hole of radius R at a depth 4y from the top. When the tank is completely filled with water, the quantities of water lowing out per second from both holes are the same. Then R is equal to
Water from a tap emerges vertically downwards with an initial speed of 1.0 m/s. The cross sectional area of the tap is 10-4 m2.Assume that the pressure is constant throughout the steam of water, and that the flow is steady. The cross sectional area of the stream 0.15 m below the tap is
Detailed Solution for Test: Fluids - Question 30
The equation of continuity is : where v and A represent the speed of water stream and its area of cross section, respectively. We are given that,
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