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General
Easy
Question
Velocity of efflux in Torricelli's theorem is given by , here h is the height of hole from the top surface, after that, motion of liquid can be treated as projectile motion. What is its time of fall of liquid on the ground?
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The correct answer is:
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A glass full of water is placed on a weighing scale, which reads 10 N. A coin with weight 1 N is gently released into the water. At first, the coin accelerates as it falls and about halfway down the glass, the coin reaches terminal velocity. Eventually, the coin rests on the bottom of the glass. Acceleration due to gravity is . The scale reads
A glass full of water is placed on a weighing scale, which reads 10 N. A coin with weight 1 N is gently released into the water. At first, the coin accelerates as it falls and about halfway down the glass, the coin reaches terminal velocity. Eventually, the coin rests on the bottom of the glass. Acceleration due to gravity is . The scale reads
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The diagram shows a force-extension graph for a rubber band. Consider the following statements
I) It will be easier to compress this rubber than expand it.
II) Rubber does not return to its original length after it is stretched.
III) The rubber band will get heated if it is stretched and released. Which of these can deduced from the graph-
The diagram shows a force-extension graph for a rubber band. Consider the following statements
I) It will be easier to compress this rubber than expand it.
II) Rubber does not return to its original length after it is stretched.
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A solid right cylinder of length stands upright at rest on the bottom of a large tub filled with water up to height h as shown in the figure-I. Density of material of the cylinder equals to that of water. Now the cylinder is pulled slowly out of water with the help of a thin light inextensible thread as shown in figure-II. Find the work done by the tension force develop in the thread.
A solid right cylinder of length stands upright at rest on the bottom of a large tub filled with water up to height h as shown in the figure-I. Density of material of the cylinder equals to that of water. Now the cylinder is pulled slowly out of water with the help of a thin light inextensible thread as shown in figure-II. Find the work done by the tension force develop in the thread.
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A closed cylinder of length containing a liquid of variable density . Find the net force exerted by the liquid on the axis of rotation. (Take the cylinder to be massless and A = cross sectional area of cylinder)
A closed cylinder of length containing a liquid of variable density . Find the net force exerted by the liquid on the axis of rotation. (Take the cylinder to be massless and A = cross sectional area of cylinder)
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The graph shows the extension of a wire of length 1m suspended from the top of a roof at one end and with a load W connected to the other end. If the cross sectional area of the wire is 1 m , then the Young's modulus of the material of the wire is
The graph shows the extension of a wire of length 1m suspended from the top of a roof at one end and with a load W connected to the other end. If the cross sectional area of the wire is 1 m , then the Young's modulus of the material of the wire is
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A liquid of density r is filled in a U-tube, whose one end is open & at the other end a bulb is fitted whose pressure is . Now this tube is moved horizontally with acceleration 'a' as shown in the figure. During motion it is found that liquid in both column is at same level at equilibrium. If atmospheric pressure is , then value of is
A liquid of density r is filled in a U-tube, whose one end is open & at the other end a bulb is fitted whose pressure is . Now this tube is moved horizontally with acceleration 'a' as shown in the figure. During motion it is found that liquid in both column is at same level at equilibrium. If atmospheric pressure is , then value of is
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The tube shown is of non-uniform cross-section. The cross-section area at A is half of the cross-section area at B,C and D. A liquid is flowing through in steady state. The liquid exerts on the tube Statement I) A net force towards right. Statement II) A net force towards left. Statement III) A net force in some oblique direction. Statement IV) Zero net force Statement V) A net clockwise torque. Statement VI) A net counterclockwise torque
The tube shown is of non-uniform cross-section. The cross-section area at A is half of the cross-section area at B,C and D. A liquid is flowing through in steady state. The liquid exerts on the tube Statement I) A net force towards right. Statement II) A net force towards left. Statement III) A net force in some oblique direction. Statement IV) Zero net force Statement V) A net clockwise torque. Statement VI) A net counterclockwise torque
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A rigid ring A and a rigid thin disk B both made of same material, when gently placed on water, just manage to float due to surface tension as shown in the figure. Both the ring and the disk have same radius. What can you conclude about their masses?
A rigid ring A and a rigid thin disk B both made of same material, when gently placed on water, just manage to float due to surface tension as shown in the figure. Both the ring and the disk have same radius. What can you conclude about their masses?
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A cuboid is filled with two immiscible liquids of density as shown in the figure. Neglecting atmospheric pressure, ratio of force on base & side wall of the cuboid is
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An open vessel full of water is falling freely under gravity. There is a small hole in one face of the vessel, as shown in the figure. The water which comes out from the hole at the instant when hole is at height H above the ground, strikes the ground at a distance of x from P. Which of the following is correct for the situation described?
An open vessel full of water is falling freely under gravity. There is a small hole in one face of the vessel, as shown in the figure. The water which comes out from the hole at the instant when hole is at height H above the ground, strikes the ground at a distance of x from P. Which of the following is correct for the situation described?
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The pressure of water in a water pipe when tap is opened and closed is respectively and N. With open tap, the velocity of water flowing is
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A large cylindrical tank of cross-sectional area 1 is filled with water. It has a small hole at a height of 1m from the bottom. A movable piston of mass 5 kg is fitted on the top of the tank such that it can slide in the tank freely. A load of 45 kg is applied on the top of water by piston, as shown in figure. The value of v when piston is 7m above the bottom is (g = 10 )
A large cylindrical tank of cross-sectional area 1 is filled with water. It has a small hole at a height of 1m from the bottom. A movable piston of mass 5 kg is fitted on the top of the tank such that it can slide in the tank freely. A load of 45 kg is applied on the top of water by piston, as shown in figure. The value of v when piston is 7m above the bottom is (g = 10 )
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Changing from a circular to An elliptical orbit Let us identify the system as the spacecraft and the Earth but not the portion of the fuel in the spacecraft that we use to change the orbit. In a given orbit, the mechanical energy of the spacecraft – Earth system is given by This energy includes the kinetic energy of the spacecraft and the potential energy associated with the gravitational force between the spacecraft and the Earth. If the rocket engines are fired, the thrust force moves the spacecraft through a displacement. As a result, the mechanical energy of the spacecraft – Earth system increases. The spacecraft has a new higher energy but is constrained to be in an orbit that includes the original starting point. It can not be in a higher energy circular orbit having a larger radius because this orbit would not contain the starting point. The only possibility is that the orbit is elliptical as shown in the figure.
Maximum height of the spacecraft above the surface of the Earth will be :
Changing from a circular to An elliptical orbit Let us identify the system as the spacecraft and the Earth but not the portion of the fuel in the spacecraft that we use to change the orbit. In a given orbit, the mechanical energy of the spacecraft – Earth system is given by This energy includes the kinetic energy of the spacecraft and the potential energy associated with the gravitational force between the spacecraft and the Earth. If the rocket engines are fired, the thrust force moves the spacecraft through a displacement. As a result, the mechanical energy of the spacecraft – Earth system increases. The spacecraft has a new higher energy but is constrained to be in an orbit that includes the original starting point. It can not be in a higher energy circular orbit having a larger radius because this orbit would not contain the starting point. The only possibility is that the orbit is elliptical as shown in the figure.
Maximum height of the spacecraft above the surface of the Earth will be :
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Changing from a circular to An elliptical orbit Let us identify the system as the spacecraft and the Earth but not the portion of the fuel in the spacecraft that we use to change the orbit. In a given orbit, the mechanical energy of the spacecraft – Earth system is given by This energy includes the kinetic energy of the spacecraft and the potential energy associated with the gravitational force between the spacecraft and the Earth. If the rocket engines are fired, the thrust force moves the spacecraft through a displacement. As a result, the mechanical energy of the spacecraft – Earth system increases. The spacecraft has a new higher energy but is constrained to be in an orbit that includes the original starting point. It can not be in a higher energy circular orbit having a larger radius because this orbit would not contain the starting point. The only possibility is that the orbit is elliptical as shown in the figure.
Semimajor axis of the new elliptical orbit is
Changing from a circular to An elliptical orbit Let us identify the system as the spacecraft and the Earth but not the portion of the fuel in the spacecraft that we use to change the orbit. In a given orbit, the mechanical energy of the spacecraft – Earth system is given by This energy includes the kinetic energy of the spacecraft and the potential energy associated with the gravitational force between the spacecraft and the Earth. If the rocket engines are fired, the thrust force moves the spacecraft through a displacement. As a result, the mechanical energy of the spacecraft – Earth system increases. The spacecraft has a new higher energy but is constrained to be in an orbit that includes the original starting point. It can not be in a higher energy circular orbit having a larger radius because this orbit would not contain the starting point. The only possibility is that the orbit is elliptical as shown in the figure.
Semimajor axis of the new elliptical orbit is
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