Test: Fluids - JEE MCQ

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

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.  

Water rises in a straight capillary tube upto a height of 5 cm when held vertical in water. If the tube is bent as shown in figure then the height of water column in it will be

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? 

When cooking oil is heated in frying pan, the oil moves around in the pan more easily when it is hot. The main reason for this is that with rise in temperature, there is a decrease in   

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  

The work done in increasing the volume of a soap bubble of radius r to 27 times will be, if the surface tension of soap solution is T  

The excess pressure inside first soap bubble is 3 times that inside the second bubble. Then the ratio of volumes of the first and the second bubbles is  

Water is rises to a height h1 in a capillary tube in a stationary lift. If the lift moves up with uniform acceleration it rises to a height h2, then acceleration of the lift is 

A ball of mass ‘m’ and radius ‘r’ is released in viscous liquid. The value of its terminal velocity is proportional to  

Viscosity is the property by virtue of which a liquid  

For an ideal fluid, viscosity is

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  

Coefficient of viscosity of a gas  

Water flows through a frictionless duct with a cross-section varying as shown in figure. Pressure P at points along the axis is represented by (Assume water to be non-viscous)

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  

n drops of liquid, each with surface energy E, join to form a single drop. In this process  

Two spherical soap bubbles of radii R₁ and R₂ combine under isothermal condition to form a single bubble. The radius of the resultant bubble is  

For the arrangement shown in figure, the time interval after which the water jet ceases to cross the wall (area of cross section of tank is A and orifice is ‘a’) 

Two soap bubbles with radii   come in contact. Their common surface has a radius of curvature r. Then

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  

The surface of water in a water tank on the top of a house is 4 m above the tap level. The pressure of water at the tap when the tap is closed is (Density of water = 1000 kg/m³ g = 10 m/s²) 

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

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