HARD
JEE Advanced
IMPORTANT
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A pump motor is used to deliver water at a certain rate from a given pipe. To obtain times water from the same pipe in the same time, by what amount should the power of the motor be increased?
(a) times
(b) times
(c) times
(d) times

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Important Questions on Work, Energy and Power
MEDIUM
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IMPORTANT
The speed reached by a car of mass in travelling a distance , driven with constant power , is given by

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Power supplied to a particle of mass varies with time as . Here is in second. If the velocity of particle at is the velocity of particle at time will be

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A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time is proportional to

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A car drives along a straight level frictionless road by an engine delivering constant power. Then velocity is directly proportional to

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A projectile is fired with some velocity making certain angle with the horizontal. Which of the following graphs is the best representation for the kinetic energy of a projectile versus its horizontal displacement ?

MEDIUM
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An object of mass slides down a hill of arbitrary shape and after travelling a certain horizontal path stops because of friction. The total vertical height descended is . The friction coefficient is different for different segments for the entire path but is independent of the velocity and direction of motion. The work that a tangential force must perform to return the object to its initial position along the same path is

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A toy gun uses a spring of force constant . Before being triggered in the upward direction, the spring is compressed by a distance . If the mass of the shot is , on being triggered, it will go up to a maximum height of

MEDIUM
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IMPORTANT
A block of mass starts at rest and slides a distance down a friction less incline (angle ) where it runs into a spring of negligible mass. The block slides an additional before it is brought to rest momentarily by compressing the spring. The force constant of the spring is . The value of is (take )
