Properties of Bulk Matter
Exam Duration: 45 Mins Total Questions : 30
Two similar wires under the same load yield elongation of 0.1 nun and 0.05 nun respectively. If the area of cross-section of the first wire is 4 mm2, then the area of cross-section of the second wire is:
- (a)
6 mm2
- (b)
8 mm2
- (c)
10 mm2
- (d)
12 mm2
Coefficient of linear expansion of brass and steel rods are \(\alpha _{ 1 }\) and \(\alpha _{ 2 }\) Lengths of brass and steel rods are l1 and l2 respectively. If (l2- l1) is maintained same at all temperatures, which one of the following relations holds good?
- (a)
\({ \alpha }_{ 1 }{ l }_{ 2 }\)
- (b)
\({ \alpha }_{ 1 }{ l }_{ 2 }={ a }_{ 2 }{ l }_{ 2 }\)
- (c)
\({ a }_{ 2 }{ l }_{ 2 }={ a }_{ 1 }{ l }_{ 1 }\)
- (d)
\({ a }_{ 1 }{ l }_{ 1 }={ a }_{ 2 }{ l }_{ 2 }\)
Find the density of a block of wood that floats in water with 0.1 of its volume above water:
- (a)
- (b)
0.9
- (c)
- (d)
0.1
Two solids A and B float in water. It is observed that A floats with half its volume immersed and B floats with 2/3 of its volume immersed. Compare the densities of A and B:
- (a)
- (b)
- (c)
- (d)
Viscosity of liquids:
- (a)
- (b)
- (c)
- (d)
With increase in temperature the viscosity of:
- (a)
- (b)
- (c)
- (d)
If the velocity of the fluid is the same at a given point at all times, then the flow is:
- (a)
turbulent
- (b)
- (c)
viscous
- (d)
A ball whose density is 0.4 x 103 kg/m3 falls into water from a height of 9 cm. To what depth does the ball sink?
- (a)
9 cm
- (b)
6 cm
- (c)
4.5 cm
- (d)
2.25 cm
Find the lifting force of a 4 kg cork lifebelt in sea water, if the densities of cork and sea water are 0.2 x 103 kg/m3 and 1.03 x 103 kg/m3 respectively:
- (a)
- (b)
- (c)
- (d)
289 N
An empty balloon weighs 1g. The balloon is filled with water to the neck and tied with a massless thread. The weight of balloon along with water is 101 g. The balloon filled with water is weighed when fully immersed. Then, its weight in water is:
- (a)
1 g
- (b)
- (c)
- (d)
A piece of ice is floating in ajar containing water. When the ice melts, the temperature of water falls from 4o C to 1oC. Then, the level of water?
- (a)
- (b)
falls
- (c)
- (d)
Once a submarine starts sinking, it will always sink to the bottom of the ocean if no other changes arc made. This is because during the descent of the submarine:
- (a)
- (b)
- (c)
- (d)
Water contained in a tank flows through an orifice of diameter 2 cm, under a constant pressure difference of 10 cm of water column. The rate of flow of water through the orifice is:
- (a)
44 cc/sec
- (b)
4.4 cc/sec
- (c)
440 cc/sec
- (d)
4400 cc/sec
We have three beakers A, B and C containing glycerine, water and kerosene respectively. They are stirred vigorously and placed on a table. The liquid which comes to rest at the earliest is:
- (a)
glycerine
- (b)
water
- (c)
kerosene
- (d)
In areas far removed from the tanks, the water does not rise to desired heights. This is because the pressure falls due to:
- (a)
gravity
- (b)
density
- (c)
- (d)
A vessel of water is placed on the floor of an elevator. How does the pressure at the bottom of the vessel change if the elevator moves up with uniform acceleration a?
- (a)
- (b)
- (c)
- (d)
A ball floats on the surface of water in a container exposed to the atmosphere. Will the ball remain immersed at its former depth or will it sink or rise if the container is covered and the air is removed?
- (a)
The ball sinks
- (b)
The ball rises
- (c)
The ball remains immersed at its former depth
- (d)
It oscilIates
Stream-line flow is more likely for liquids with:
- (a)
- (b)
- (c)
- (d)
Why the dam of water reservoir is thick at the bottom?
- (a)
- (b)
- (c)
- (d)
A cylindrical, tank is filled with water to a level of 3 m. A hole is opened at a height of 52.5 cm from bottom. The ratio of the area of the hole to that of cross-sectional area of the cylinder is 0.1. Find the square of the velocity with which water is coming out: (g = 10m/sec2)
- (a)
50 m2/sec2
- (b)
40 m2/sec2
- (c)
51.5 m2/sec2
- (d)
50.5 m2/sec2
Aboat having a length of 5 m and breadth 1m is floating on a lake. If a man gets on to the boat, the boat sinks by 1 cm. The weight of the man is (Take g = 10m s-2):
- (a)
50 kg
- (b)
9 kg
- (c)
35 kg
- (d)
75 kg
A sphere of mass M and radius R is dropped in a liquid, then terminal velocity of sphere is proportional to:
- (a)
R
- (b)
- (c)
R2
- (d)
(A) To float, a body must displace liquid whose weight is greater than the actual weight of the body.
(R) The body will experience no net downward force, in the case of floating.
- (a)
- (b)
- (c)
- (d)
- (e)
Water is moving with a speed of 5.0 m/s through a pipe with cross-sectional area of 4.0 cm2. The water gradually descends 10 m as the pipe increase in area to 8.0 cm2. If the pressure at the upper level is 1.5 x 105 Pa, the pressure at lower level will be :
- (a)
2.8 x 105 Pa
- (b)
2.6 x 105 Pa
- (c)
2.4 x 105 Pa
- (d)
2.1 x 105 Pa
(A) The stream of water flowing at high speed from a garden hose pipe tends to spread like a fountain when held vertically up, but tends to narrow down when held vertically down.
(R) In any steady flow of an incompressible fluid, the volume flow rate of the fluid remains constant.
- (a)
- (b)
- (c)
- (d)
- (e)
(A) Railway tracks are laid on small sized wooden sleepers.
(R) Small sized wooden' sleepers are used so that train exert more pressure on the railway track. Due to which train does not leave the track.
- (a)
- (b)
- (c)
- (d)
- (e)
(A) The stream of water emerging from a water tap "necks down" as it falls.
(R) The volume flow rate at different levels is same.
- (a)
- (b)
- (c)
- (d)
- (e)
(A) The velocity increases, when water flowing in broader pipe enter a narrow pipe.
(R) According to equation of continuity, product of area and velocity is constant.
- (a)
- (b)
- (c)
- (d)
- (e)
(A) Water flows faster than honey.
(R) The coefficient of viscosity of water is less than honey.
- (a)
- (b)
- (c)
- (d)
- (e)
(A) Viscosity of liquid is the property of liquid by virtue of which it opposes the relative motion amongst its different layers.
(R) Viscosity of liquid increases rapidly with the rise of temperature.
- (a)
- (b)
- (c)
- (d)
- (e)