Physics-
General
Easy
Question
A cylinder containing water up to a height of 25 cm has a hole of cross-section
in its bottom. It is counterpoised in a balance. What is the initial change in the balancing weight when water begins to flow out
![](data:image/png;base64,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)
- Increase of 12.5 gm-wt
- Increase of 6.25 gm-wt
- Decrease of 12.5 gm-wt
- Decrease of 6.25 gm-wt
The correct answer is: Decrease of 12.5 gm-wt
Let A = The area of cross section of the hole
v = Initial velocity of efflux
d = Density of water,
Initial volume of water flowing out per second = Av
Initial mass of water flowing out per second = Avd
Rate of change of momentum = Adv2
Initial downward force on the flowing out water = Adv2
So equal amount of reaction acts upwards on the cylinder.
\ Initial upward reaction =
[As
]
Initial decrease in weight ![equals A d left parenthesis 2 g h right parenthesis](data:image/png;base64,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)
gm-wt.
Related Questions to study
Physics-
Water is filled in a cylindrical container to a height of 3m. The ratio of the cross-sectional area of the orifice and the beaker is 0.1. The square of the speed of the liquid coming out from the orifice is (g = 10 m/s2)
![](data:image/png;base64,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)
Water is filled in a cylindrical container to a height of 3m. The ratio of the cross-sectional area of the orifice and the beaker is 0.1. The square of the speed of the liquid coming out from the orifice is (g = 10 m/s2)
![](data:image/png;base64,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)
Physics-General
Physics-
A body floats in a liquid contained in a beaker. The whole system as shown falls freely under gravity. The upthrust on the body due to the liquid is
![](data:image/png;base64,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)
A body floats in a liquid contained in a beaker. The whole system as shown falls freely under gravity. The upthrust on the body due to the liquid is
![](data:image/png;base64,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)
Physics-General
Physics-
A wooden block, with a coin placed on its top, floats in water as shown in fig. the distance l and h are shown there. After some time the coin falls into the water. Then
![](data:image/png;base64,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)
A wooden block, with a coin placed on its top, floats in water as shown in fig. the distance l and h are shown there. After some time the coin falls into the water. Then
![](data:image/png;base64,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)
Physics-General
Physics-
A homogeneous solid cylinder of length L
. Cross-sectional area
is immersed such that it floats with its axis vertical at the liquid-liquid interface with length
in the denser liquid as shown in the fig. The lower density liquid is open to atmosphere having pressure
. Then density D of solid is given by
![](data:image/png;base64,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)
A homogeneous solid cylinder of length L
. Cross-sectional area
is immersed such that it floats with its axis vertical at the liquid-liquid interface with length
in the denser liquid as shown in the fig. The lower density liquid is open to atmosphere having pressure
. Then density D of solid is given by
![](data:image/png;base64,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)
Physics-General
Physics-
A U-tube in which the cross-sectional area of the limb on the left is one quarter, the limb on the right contains mercury (density 13.6 g/cm3). The level of mercury in the narrow limb is at a distance of 36 cm from the upper end of the tube. What will be the rise in the level of mercury in the right limb if the left limb is filled to the top with water
![](data:image/png;base64,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)
A U-tube in which the cross-sectional area of the limb on the left is one quarter, the limb on the right contains mercury (density 13.6 g/cm3). The level of mercury in the narrow limb is at a distance of 36 cm from the upper end of the tube. What will be the rise in the level of mercury in the right limb if the left limb is filled to the top with water
![](data:image/png;base64,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)
Physics-General
Physics-
When a body falls in air, the resistance of air depends to a great extent on the shape of the body, 3 different shapes are given. Identify the combination of air resistances which truly represents the physical situation. (The cross sectional areas are the same).
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)
When a body falls in air, the resistance of air depends to a great extent on the shape of the body, 3 different shapes are given. Identify the combination of air resistances which truly represents the physical situation. (The cross sectional areas are the same).
![](data:image/png;base64,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)
Physics-General
Maths-
5/6 can be represented in percentage as
5/6 can be represented in percentage as
Maths-General
Physics-
A cylindrical vessel of 90 cm height is kept filled upto the brim. It has four holes 1, 2, 3, 4 which are respectively at heights of 20 cm, 30 cm, 45 cm and 50 cm from the horizontal floor PQ. The water falling at the maximum horizontal distance from the vessel comes from
![](data:image/png;base64,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)
A cylindrical vessel of 90 cm height is kept filled upto the brim. It has four holes 1, 2, 3, 4 which are respectively at heights of 20 cm, 30 cm, 45 cm and 50 cm from the horizontal floor PQ. The water falling at the maximum horizontal distance from the vessel comes from
![](data:image/png;base64,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)
Physics-General
Physics-
A tank is filled with water up to a height H. Water is allowed to come out of a hole P in one of the walls at a depth D below the surface of water. Express the horizontal distance x in terms of H and D
![](data:image/png;base64,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)
A tank is filled with water up to a height H. Water is allowed to come out of a hole P in one of the walls at a depth D below the surface of water. Express the horizontal distance x in terms of H and D
![](data:image/png;base64,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)
Physics-General
Physics-
An L-shaped glass tube is just immersed in flowing water such that its opening is pointing against flowing water. If the speed of water current is v, then
![](data:image/png;base64,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)
An L-shaped glass tube is just immersed in flowing water such that its opening is pointing against flowing water. If the speed of water current is v, then
![](data:image/png;base64,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)
Physics-General
Physics-
A liquid flows through a horizontal tube. The velocities of the liquid in the two sections, which have areas of cross-section
and
, are
and
respectively. The difference in the levels of the liquid in the two vertical tubes is h
![](data:image/png;base64,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)
A liquid flows through a horizontal tube. The velocities of the liquid in the two sections, which have areas of cross-section
and
, are
and
respectively. The difference in the levels of the liquid in the two vertical tubes is h
![](data:image/png;base64,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)
Physics-General
Physics-
In this figure, an ideal liquid flows through the tube, which is of uniform cross-section. The liquid has velocities
and
, and pressure PA and PB at points A and B respectively
![](data:image/png;base64,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)
In this figure, an ideal liquid flows through the tube, which is of uniform cross-section. The liquid has velocities
and
, and pressure PA and PB at points A and B respectively
![](data:image/png;base64,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)
Physics-General
Physics-
A liquid flows in a tube from left to right as shown in figure.
and
are the cross-sections of the portions of the tube as shown. Then the ratio of speeds
will be
![](data:image/png;base64,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)
A liquid flows in a tube from left to right as shown in figure.
and
are the cross-sections of the portions of the tube as shown. Then the ratio of speeds
will be
![](data:image/png;base64,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)
Physics-General
Physics-
A ball of radius r and density r falls freely under gravity through a distance h before entering water. Velocity of ball does not change even on entering water. If viscosity of water is h, the value of h is given by
![](data:image/png;base64,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)
A ball of radius r and density r falls freely under gravity through a distance h before entering water. Velocity of ball does not change even on entering water. If viscosity of water is h, the value of h is given by
![](data:image/png;base64,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)
Physics-General
Physics-
In the following fig. is shown the flow of liquid through a horizontal pipe. Three tubes A, B and C are connected to the pipe. The radii of the tubes A, B and C at the junction are respectively 2 cm, 1 cm and 2 cm. It can be said that the
![](data:image/png;base64,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)
In the following fig. is shown the flow of liquid through a horizontal pipe. Three tubes A, B and C are connected to the pipe. The radii of the tubes A, B and C at the junction are respectively 2 cm, 1 cm and 2 cm. It can be said that the
![](data:image/png;base64,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)
Physics-General