A wooden block, with a coin placed on its top, floats in water as shown in the figure. The distances h and l are shown there. After sometime, the coin falls into the water. Then
both l and h increase
both l and h decrease
l decreases and h increases
l increases and h decreases
A square wire frame of size L is dipped in a liquid. On taking out a membrane is formed. If the surface tension of liquid is T, then force acting on a frame will be
2T L
4T L
8T L
16T L
A 20 cm long capillary tube is dipped in water. The water rises up to 8 cm. If entire arrangement is put in a freely falling elevator, the length of water column in the capillary tube will be
4 cm
8 cm
10 cm
20 cm
A metal plate of area 103 cm2 rests on a layer of oil 6 mm thick. A tangential force of 10-2 N is applied on it to move it with a constant velocity of 6 cms-1. The coefficient of viscosity of the liquid is
0.1 poise
0.5 poise
0.7 poise
0.9 poise
Sixty four spherical rain drops of equal size are falling vertically through air with a terminal velocity 1.5 ms-1 . If these drops coalesce to form a big spherical drop, then terminal velocity of big drop is
8 ms-1
16 ms-1
24 ms-1
32 ms-1
A cylinder of height 20 m is completely filled with water. The velocity of efflux of water (in ms-1 ) through a hole on the side wall of the cylinder near its bottom, is
10
20
25.5
5
A liquid flows through a pipe of non-uniform cross-section. If A1 and A2 are the cross-sectional areas of the pipe at two points, the ratio of velocities of the liquid at these points will be
A1A2
C.
Volume of liquid flowing at first point = A1 v1. Similarly, volume of liquid flowing at second point = A2v2
From equation of continuity,
A1 v1 = A2v2
or
A particle executes simple harmonic motion between x = − A and x = + A. The time taken for it to go from O to A/ 2 is T1 and to go from A/2 to A is T2 . Then
T1 < T2
T1 > T2
T1 = T2
T1 = 2T2
A body executes simple harmonic motion. The potential energy (PE), kinetic energy (KE) and total energy (TE) are measured as a function of displacement y. Which of the following statements is true ?
TE is zero when x = 0
PE is maximum when x = 0
KE is maximum when x = O
KE is maximum when x is maximum
The equation of a wave is y = 5 sin where x is in cm and t in seconds. The maximum velocity of the wave will be
1 ms-1
2 ms-1
1.5 ms-1
1.25 ms-1