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 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
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
A body floats in a liquid contained in a beaker. The whole system as shown in figure falls freely under gravity. The upthrust on the body is
zero
equal to the weight of the liquid displaced
equal to the weight of the body in air
equal to the weight of the immersed portion of the body
Bernoulli's equation is an example of conservation of
energy
momentum
angular momentum
mass
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
A steel ball is dropped in oil, then
the ball attains constant velocity after some time
the ball stops
the speed of ball will keep on increasing
none of the above
A bubble is at the bottom of the lake of depth h. As the bubble comes to sea level, its radius increases three times. If atmospheric pressure is equal to l metre of water column, then h is equal to
26 l
l
25 l
30 l
Water rises in a capillary tube upto a height of 10 cm whereas mercury depresses in it by 3.42 cm. If the angle of contact and density of mercury are 135o and 13.6 gm/cc respectively, then the ratio of the surface tension of water and mercury will be :
6.5 : 1
1 : 6.5
1 : 5.6
5.6 : 1
An object is moving through the liquid. The viscous damping force acting on its is proportional to the velocity. Then dimensions of constant of proportionality are
[ ML-1 T--1 ]
[ MLT--1 ]
[ ML0 LT-1 ]
[ ML0 T--1 ]