Work done to blow a bubble of volume V is W. The work done in blowing a bubble of volume 2V will be :
21/3 W
2W
41/3 W
4W
A cylinder of height 20 m is completely filled with water. The velocity of efflux of water (in ms-1 ) through a small hole on the side wall of the cylinder near its bottom is
10
20
25.5
5
A vessel contains oil (density = 0.8 g cm-3 ) over mercury (density = 13.6 g cm-3 ). A homogeneous sphere floats with half of its volume immersed in mercury and the other half in oil. The density of the material (in g cm-3 ) is
3.3
6.4
7.2
2.8
A jar is filled with two non-mixing liquids 1 and 2 having densities ρ1 and ρ2 respectively.
A solid ball, made of a material of density ρ3 , is dropped in the jar. It comes to equilibrium in the position shown in the figure. Which of the following is true for ρ1 and ρ2 and ρ3 ?
ρ1 < ρ3 < ρ2
ρ3 < ρ1 < ρ2
ρ1 > ρ3 > ρ2
ρ1 < ρ2 < ρ3
Bernoulli's equation is an example of conservation of
energy
momentum
angular momentum
mass
A glass tube of uniform internal radius (r) has a value separating the two identical ends. Initially, the value is in a tightly closed position. End 1 has a hemispherical soap bubble of radius r. End 2 has sub - hemispherical soap bubbles as shown in figure. Just after opening the valve,
air from end 1 flows towards end 2. No change in the volume of the soap bubbles
air from end 1 flows towards end 2. Volume of the soap bubbles at end 1 decreases
no changes occur
air from end 2 flows towards end 2. Volume of the soap bubble at end 1 increases
A hemispherical portion of radius R is removed from the bottom of a cylinder of radius R. The volume of the remaining cylinder is V and mass M. It is suspended by a string in a liquid of density , where it stays vertical. The upper surface of the cylinder is at a depth h below the liquid surface. The force on the bottom of the cylinder by the liquid is
Mg
Water from a tap emerges vertically downwards with an initial speed of 1.0 ms-1 . The cross-sectional area of the tap is 10-4 m2. Assume that the pressure is constant throughout the stream of water, and that the flow is steady. The cross-sectional area of the stream 0.15 m below the tap is
5.0×10-4 m2
1.0×10-5 m2
5.0×10-5 m2
2.0×10-5 m2
Two capillaries of some materials are dipped into a liquid. If the height of liquid risen in them are 2.2 cm and 6.6 cm then the ratio of their radii is
3 : 1
1 : 3
9 : 1
1
A 20 cm long capillary tube is dipped in water. The water rises up to 8 cm. If the entire arrangement is put in a freely falling elevator the length of water column in the capillary tube will be
4 cm
20 cm
8 cm
10 cm
