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 Question 1 of 20
1. Question
A parachutist jumps from a height of 5000 metre. The relationship between his falling speed, v and the distance fallen through d is best represented as: [1995]
CorrectWhen a parachutist jumps from a height, its speed first increases with the distance fallen and then becomes constant. So, the graph given in option (d) best represents the given situation.
IncorrectWhen a parachutist jumps from a height, its speed first increases with the distance fallen and then becomes constant. So, the graph given in option (d) best represents the given situation.
UnattemptedWhen a parachutist jumps from a height, its speed first increases with the distance fallen and then becomes constant. So, the graph given in option (d) best represents the given situation.
 Question 2 of 20
2. Question
Who among the following anticipated Newton by declaring that all things gravitate to the earth? [1995]
CorrectBrahmagupta was an Indian mathematician and astronomer who had written numerous important books on mathematics and astronomy. He anticipated Newton by declaring that all things gravitate to the earth.
IncorrectBrahmagupta was an Indian mathematician and astronomer who had written numerous important books on mathematics and astronomy. He anticipated Newton by declaring that all things gravitate to the earth.
UnattemptedBrahmagupta was an Indian mathematician and astronomer who had written numerous important books on mathematics and astronomy. He anticipated Newton by declaring that all things gravitate to the earth.
 Question 3 of 20
3. Question
A liquid is flowing in a streamlined manner through a cylindrical pipe. Along a section containing the axis of the pipe, the flow profile will be: [1996]
CorrectIf a fluid flows such that its velocity at a point is always the same in magnitude and direction, the fluid is said to have a streamline flow. The type of flow in a fluid system is characterized by the presence of laminae, or parallel streams of fluid. A streamline is a straight or curved path such that tangent to it at a point gives the direction of flow of liquid at that point. Thus, according to question the flow profile is best represented by figure (a).
IncorrectIf a fluid flows such that its velocity at a point is always the same in magnitude and direction, the fluid is said to have a streamline flow. The type of flow in a fluid system is characterized by the presence of laminae, or parallel streams of fluid. A streamline is a straight or curved path such that tangent to it at a point gives the direction of flow of liquid at that point. Thus, according to question the flow profile is best represented by figure (a).
UnattemptedIf a fluid flows such that its velocity at a point is always the same in magnitude and direction, the fluid is said to have a streamline flow. The type of flow in a fluid system is characterized by the presence of laminae, or parallel streams of fluid. A streamline is a straight or curved path such that tangent to it at a point gives the direction of flow of liquid at that point. Thus, according to question the flow profile is best represented by figure (a).
 Question 4 of 20
4. Question
The variation of displacement d with time t in the case of a particle falling freely under gravity from rest is correctly shown in graph: [1996]
CorrectAs,
d = ut + (1/2)gt^{2}
u = 0 (given)
d = (1/2)gt^{2}
d ∞ t^{2}IncorrectAs,
d = ut + (1/2)gt^{2}
u = 0 (given)
d = (1/2)gt^{2}
d ∞ t^{2}UnattemptedAs,
d = ut + (1/2)gt^{2}
u = 0 (given)
d = (1/2)gt^{2}
d ∞ t^{2}  Question 5 of 20
5. Question
A simple machine helps a person in doing: [1996]
CorrectA simple machine is a mechanical device that changes the direction or magnitude of a force. In general, they can be defined as the simplest mechanisms that use mechanical advantage to multiply force. Thus, simple machine helps us in doing same amount of work with lesser force. Few examples of simple machines are pulley, lever, wheel, screw, etc.
IncorrectA simple machine is a mechanical device that changes the direction or magnitude of a force. In general, they can be defined as the simplest mechanisms that use mechanical advantage to multiply force. Thus, simple machine helps us in doing same amount of work with lesser force. Few examples of simple machines are pulley, lever, wheel, screw, etc.
UnattemptedA simple machine is a mechanical device that changes the direction or magnitude of a force. In general, they can be defined as the simplest mechanisms that use mechanical advantage to multiply force. Thus, simple machine helps us in doing same amount of work with lesser force. Few examples of simple machines are pulley, lever, wheel, screw, etc.
 Question 6 of 20
6. Question
The tendency of a liquid drop to contract and occupy minimum area is due to: [1997]
CorrectIt is observed that liquid drop tend to contract and appear spherical when it is set free from external forces like gravity, etc. Surface tension is the property among liquids due to which they tend to occupy minimum surface area. That’s why water droplet appears spherical because for a given volume, a sphere has minimum surface area. Due to this property of surface tension liquid surface stretches and behaves like a stretched membrane.
IncorrectIt is observed that liquid drop tend to contract and appear spherical when it is set free from external forces like gravity, etc. Surface tension is the property among liquids due to which they tend to occupy minimum surface area. That’s why water droplet appears spherical because for a given volume, a sphere has minimum surface area. Due to this property of surface tension liquid surface stretches and behaves like a stretched membrane.
UnattemptedIt is observed that liquid drop tend to contract and appear spherical when it is set free from external forces like gravity, etc. Surface tension is the property among liquids due to which they tend to occupy minimum surface area. That’s why water droplet appears spherical because for a given volume, a sphere has minimum surface area. Due to this property of surface tension liquid surface stretches and behaves like a stretched membrane.
 Question 7 of 20
7. Question
Which one of the following is a vector quantity? [1997]
CorrectScalars are quantities that have magnitude only; they are independent of direction. Vectors have both magnitude and direction. Momentum is the product of the mass and velocity of an object (p = mv). Momentum is a vector quantity, since it has a direction as well as a magnitude. The rest of quantities in option pressure, work and energy have magnitude but not direction.
IncorrectScalars are quantities that have magnitude only; they are independent of direction. Vectors have both magnitude and direction. Momentum is the product of the mass and velocity of an object (p = mv). Momentum is a vector quantity, since it has a direction as well as a magnitude. The rest of quantities in option pressure, work and energy have magnitude but not direction.
UnattemptedScalars are quantities that have magnitude only; they are independent of direction. Vectors have both magnitude and direction. Momentum is the product of the mass and velocity of an object (p = mv). Momentum is a vector quantity, since it has a direction as well as a magnitude. The rest of quantities in option pressure, work and energy have magnitude but not direction.
 Question 8 of 20
8. Question
A girl is swinging on a swing in sitting position. When the girl stands up, the period of swing will: [1997]
CorrectEffective length is the length of point of suspension to the centre of gravity(mass) of a body. Let it be l when the girl is sitting and l’ when girl stands up. Here l > l’. Thus, the time period of swing will decrease because time period of swing is given by formula
T = 2π√(l/g)
So, it is clear from above formula that the time period of system is directly proportional to effective length.IncorrectEffective length is the length of point of suspension to the centre of gravity(mass) of a body. Let it be l when the girl is sitting and l’ when girl stands up. Here l > l’. Thus, the time period of swing will decrease because time period of swing is given by formula
T = 2π√(l/g)
So, it is clear from above formula that the time period of system is directly proportional to effective length.UnattemptedEffective length is the length of point of suspension to the centre of gravity(mass) of a body. Let it be l when the girl is sitting and l’ when girl stands up. Here l > l’. Thus, the time period of swing will decrease because time period of swing is given by formula
T = 2π√(l/g)
So, it is clear from above formula that the time period of system is directly proportional to effective length.  Question 9 of 20
9. Question
A boy standing at the point O in the given diagram throws a ball three times with the same force, but projecting it along different inclinations from the ground. The results of the throws have been plotted in the diagram. Which one of the following is a valid conclusion? [1997]
CorrectIncorrectUnattempted  Question 10 of 20
10. Question
The working principle of a washing machine is: [1997]
CorrectWashing machine works on the principle of centrifugation. Centrifugation is a process that involves the use of the centrifugal force for the separation of mixtures with a centrifuge, used in industry and in laboratory settings. Moredense components of the mixture migrate away from the axis of the centrifuge, while lessdense components of the mixture migrate towards the axis.
IncorrectWashing machine works on the principle of centrifugation. Centrifugation is a process that involves the use of the centrifugal force for the separation of mixtures with a centrifuge, used in industry and in laboratory settings. Moredense components of the mixture migrate away from the axis of the centrifuge, while lessdense components of the mixture migrate towards the axis.
UnattemptedWashing machine works on the principle of centrifugation. Centrifugation is a process that involves the use of the centrifugal force for the separation of mixtures with a centrifuge, used in industry and in laboratory settings. Moredense components of the mixture migrate away from the axis of the centrifuge, while lessdense components of the mixture migrate towards the axis.
 Question 11 of 20
11. Question
A smooth plane inclined at an angle Q with the horizontal as shown in the given figure. A body starts from rest and slides down on the inclined surface. The time taken by the body to reach the bottom is: [1997]
CorrectAn object on an inclined plane with inclination ? moves with an acceleration g sin q down the plane. The time taken to reach the bottom is given by
IncorrectAn object on an inclined plane with inclination ? moves with an acceleration g sin q down the plane. The time taken to reach the bottom is given by
UnattemptedAn object on an inclined plane with inclination ? moves with an acceleration g sin q down the plane. The time taken to reach the bottom is given by
 Question 12 of 20
12. Question
A ball is dropped from the top of a high building with a constant acceleration of 9.8 m/s2. What will be its velocity after 2 seconds? [1998]
CorrectThe velocity after time t is given by
v = u + gt
Here, u = 0, t = 2s, g = 9.8 m/s^{2}
.’. v = 0 + (9.8*2) = 19.6 m/sIncorrectThe velocity after time t is given by
v = u + gt
Here, u = 0, t = 2s, g = 9.8 m/s^{2}
.’. v = 0 + (9.8*2) = 19.6 m/sUnattemptedThe velocity after time t is given by
v = u + gt
Here, u = 0, t = 2s, g = 9.8 m/s^{2}
.’. v = 0 + (9.8*2) = 19.6 m/s  Question 13 of 20
13. Question
A hunter aims his gun at a point between the eyebrows of a monkey sitting on a branch of a tree. Just as he fires, the monkey jumps down. The bullet will: [1999]
CorrectAs monkey and bullet both fall under the same gravitational force, so bullet will hit exactly the same point it has been aimed.
IncorrectAs monkey and bullet both fall under the same gravitational force, so bullet will hit exactly the same point it has been aimed.
UnattemptedAs monkey and bullet both fall under the same gravitational force, so bullet will hit exactly the same point it has been aimed.
 Question 14 of 20
14. Question
For which one of the following is capillarity not the reason? [1999]
CorrectCapillary action, or capillarity, is a phenomenon where liquid spontaneously rises in a narrow space such as a thin tube, or in porous materials such as paper or in some nonporous materials such as liquified carbon fibre. This effect can cause liquids to flow against the force of gravity or the magnetic field induction. In blotting of ink, spread of water drop on a cotton cloth and the rising of water from the roots of a plant to its foliage.
IncorrectCapillary action, or capillarity, is a phenomenon where liquid spontaneously rises in a narrow space such as a thin tube, or in porous materials such as paper or in some nonporous materials such as liquified carbon fibre. This effect can cause liquids to flow against the force of gravity or the magnetic field induction. In blotting of ink, spread of water drop on a cotton cloth and the rising of water from the roots of a plant to its foliage.
UnattemptedCapillary action, or capillarity, is a phenomenon where liquid spontaneously rises in a narrow space such as a thin tube, or in porous materials such as paper or in some nonporous materials such as liquified carbon fibre. This effect can cause liquids to flow against the force of gravity or the magnetic field induction. In blotting of ink, spread of water drop on a cotton cloth and the rising of water from the roots of a plant to its foliage.
 Question 15 of 20
15. Question
Consider the following features of newer models of motor cars: [2000]
1. Radial tyres
2. Streamlined body
3. Multipoint fuel injection
4. Catalytic converter with exhaust
Which of these features make the new models of motor cars more fuel efficient?CorrectA “streamlined” design is one in which objects that move through a gas or liquid are shaped to match these lines, and therefore, reduce the energy required to produce that motion. Multi point fuel injection system injects fuel into individual cylinders, based on commands from the ‘on board engine management system computer—popularly known as the Engine Control Unit/ECU. These techniques result not only in better ‘power balance’ amongst the cylinders but also in higher output from each one of them, along with faster throttle response. The other two options radial tyres and catalytic converter with exhaust do not contribute to make the car more fuel efficient.
IncorrectA “streamlined” design is one in which objects that move through a gas or liquid are shaped to match these lines, and therefore, reduce the energy required to produce that motion. Multi point fuel injection system injects fuel into individual cylinders, based on commands from the ‘on board engine management system computer—popularly known as the Engine Control Unit/ECU. These techniques result not only in better ‘power balance’ amongst the cylinders but also in higher output from each one of them, along with faster throttle response. The other two options radial tyres and catalytic converter with exhaust do not contribute to make the car more fuel efficient.
UnattemptedA “streamlined” design is one in which objects that move through a gas or liquid are shaped to match these lines, and therefore, reduce the energy required to produce that motion. Multi point fuel injection system injects fuel into individual cylinders, based on commands from the ‘on board engine management system computer—popularly known as the Engine Control Unit/ECU. These techniques result not only in better ‘power balance’ amongst the cylinders but also in higher output from each one of them, along with faster throttle response. The other two options radial tyres and catalytic converter with exhaust do not contribute to make the car more fuel efficient.
 Question 16 of 20
16. Question
Assertion (A) : A man standing on a completely frictionless surface can propel himself by whistling.
Reason (R) : If no external force acts on a system, its momentum cannot change. [2000]CorrectFirst statement can be explained on the basis of laws of motion. First statement involves the use of Newton’s third law of motion, “For every action there is an equal and opposite reaction”. In first case while whistling a man uses his breathe as a propellant to propel himself. The second statement can be explained on the basis of law of conservation of linear momentum according to which the momentum of body remains conserved until any external force acts upon it.
IncorrectFirst statement can be explained on the basis of laws of motion. First statement involves the use of Newton’s third law of motion, “For every action there is an equal and opposite reaction”. In first case while whistling a man uses his breathe as a propellant to propel himself. The second statement can be explained on the basis of law of conservation of linear momentum according to which the momentum of body remains conserved until any external force acts upon it.
UnattemptedFirst statement can be explained on the basis of laws of motion. First statement involves the use of Newton’s third law of motion, “For every action there is an equal and opposite reaction”. In first case while whistling a man uses his breathe as a propellant to propel himself. The second statement can be explained on the basis of law of conservation of linear momentum according to which the momentum of body remains conserved until any external force acts upon it.
 Question 17 of 20
17. Question
The mass of a body on earth is 100 kg (acceleration due to gravity, ge = 10 m/s^{2}. If acceleration due to gravity on the moon is ge / 6, then the mass of the body on the moon is: [2001]
CorrectMass is a universal constant. The mass of a body remains unchanged in any part of universe. Mass of a body does not change with respect to gravity. It is the weight that changes with gravity.
IncorrectMass is a universal constant. The mass of a body remains unchanged in any part of universe. Mass of a body does not change with respect to gravity. It is the weight that changes with gravity.
UnattemptedMass is a universal constant. The mass of a body remains unchanged in any part of universe. Mass of a body does not change with respect to gravity. It is the weight that changes with gravity.
 Question 18 of 20
18. Question
Consider the following statements: [2001]
A simple pendulum is set into oscillation.
Then:
1. the acceleration is zero when the bob passes through the mean position.
2. in each cycle the bob attains a given velocity twice.
3. both acceleration and velocity of the bob are zero when it reaches its extreme position during the oscillation.
4. the amplitude of oscillation of the simple pendulum decreases with time.
Which of these statements are correct?CorrectThe bob of a simple pendulum is attached to a string which pulls the bob along its length.
Here B and C are extreme positions whereas A is mean position.The speed of the bob increases as it approaches the mean position A and continues to move till it reaches C. At C the speed becomes zero. Due to the unbalanced force the bob moves towards the mean position. The speed of the bob is maximum at the mean position and is zero at the extreme positions. Thus, it is clear that in each cycle bob velocity increases from zero to maximum. This means that it attains a given velocity twice. Suppose the bob of the pendulum reaches up to B while oscillating, then AB is the amplitude. For the next oscillation the bob fails to reach B but it will reverse the direction from point B¢ instead of B. The amplitude of oscillation in the second case is AB¢ which is less than AB. That means, a retarding force is acting on the bob thereby reducing the amplitude of oscillation. This retarding force is nothing but airresistance or airfriction. At extreme position, acceleration is maximum. So statement 3 is not correct.IncorrectThe bob of a simple pendulum is attached to a string which pulls the bob along its length.
Here B and C are extreme positions whereas A is mean position.The speed of the bob increases as it approaches the mean position A and continues to move till it reaches C. At C the speed becomes zero. Due to the unbalanced force the bob moves towards the mean position. The speed of the bob is maximum at the mean position and is zero at the extreme positions. Thus, it is clear that in each cycle bob velocity increases from zero to maximum. This means that it attains a given velocity twice. Suppose the bob of the pendulum reaches up to B while oscillating, then AB is the amplitude. For the next oscillation the bob fails to reach B but it will reverse the direction from point B¢ instead of B. The amplitude of oscillation in the second case is AB¢ which is less than AB. That means, a retarding force is acting on the bob thereby reducing the amplitude of oscillation. This retarding force is nothing but airresistance or airfriction. At extreme position, acceleration is maximum. So statement 3 is not correct.UnattemptedThe bob of a simple pendulum is attached to a string which pulls the bob along its length.
Here B and C are extreme positions whereas A is mean position.The speed of the bob increases as it approaches the mean position A and continues to move till it reaches C. At C the speed becomes zero. Due to the unbalanced force the bob moves towards the mean position. The speed of the bob is maximum at the mean position and is zero at the extreme positions. Thus, it is clear that in each cycle bob velocity increases from zero to maximum. This means that it attains a given velocity twice. Suppose the bob of the pendulum reaches up to B while oscillating, then AB is the amplitude. For the next oscillation the bob fails to reach B but it will reverse the direction from point B¢ instead of B. The amplitude of oscillation in the second case is AB¢ which is less than AB. That means, a retarding force is acting on the bob thereby reducing the amplitude of oscillation. This retarding force is nothing but airresistance or airfriction. At extreme position, acceleration is maximum. So statement 3 is not correct.  Question 19 of 20
19. Question
Which of the following distancetime graph (xt) represents onedimensional uniform motion? [2001]
CorrectFigure (d) correctly represents the timedistance graph for one dimensional uniform motion.
IncorrectFigure (d) correctly represents the timedistance graph for one dimensional uniform motion.
UnattemptedFigure (d) correctly represents the timedistance graph for one dimensional uniform motion.
 Question 20 of 20
20. Question
Assertion (A) : With the increase of temperature, the viscosity of glycerine increases.
Reason (R) : Rise of temperature increases kinetic energy of molecules. [2002]CorrectStatement 1 is false. The temperature dependence of liquid viscosity is the phenomenon by which liquid viscosity tends to decrease (or, alternatively, its fluidity tends to increase) as its temperature increases. Thus, with increase of temperature viscosity of glycerine decrease. Statement 2 is correct because with the rise of temperature in case of liquid, the kinetic energy increases as kinetic energy of liquid molecules is directly proportional to absolute temperature.
IncorrectStatement 1 is false. The temperature dependence of liquid viscosity is the phenomenon by which liquid viscosity tends to decrease (or, alternatively, its fluidity tends to increase) as its temperature increases. Thus, with increase of temperature viscosity of glycerine decrease. Statement 2 is correct because with the rise of temperature in case of liquid, the kinetic energy increases as kinetic energy of liquid molecules is directly proportional to absolute temperature.
UnattemptedStatement 1 is false. The temperature dependence of liquid viscosity is the phenomenon by which liquid viscosity tends to decrease (or, alternatively, its fluidity tends to increase) as its temperature increases. Thus, with increase of temperature viscosity of glycerine decrease. Statement 2 is correct because with the rise of temperature in case of liquid, the kinetic energy increases as kinetic energy of liquid molecules is directly proportional to absolute temperature.