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Two stones of masses `m and 2 m` are whirled in horizontal circles, the heavier one in a radius `r/2` and the lighter one in a radius `r`. The tangential speed of lighter stone is `n` times that of the value of heavier stone, when they experience same centripetal forces. The value of `n`

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If impulse `I` varies with time `t` as `F(kg ms^(-1))= 20t^2 - 20t`. The change in momentum is minimum at

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If no external force acts on particle, then which of the following statement is incorrect about

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Assertion: A seasoned cricketer allows a longer time for his hands to stop the ball, while catching the ball. His hand is not hurt. Reason: The novice (new player) keeps his hand fixed and tries to catch the ball almost instantly. He needs to provide a much greater force to stop the ball instantly and this

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Consider a force `F=- xhati + yhatj` The work done by this force in moving a particle from point `A(1, 0)` to `B(0,1)` along the line segment is (all quantities are in SI

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A heavy body and a light body have same kinetic energy. Which will have larger linear

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A particle moves in one dimension from rest under the influence of a force that varies with the distance travelled by the particle as shown in the figure. The kinetic energy of the particle after it has travelled `3 m`

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A massless spring of spring constant `k`, has extension `y` and potential energy `E`. It is now stretched from `y` to `2y`. The increase in its potential energy

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A particle of mass `1g` moving with a velocity `v_1= (3hati - 2hatj) ms^(-1)` experiences a perfectly elastic collision with another particle of mass `2 g` and velocity `v_2=(4hatj - 6hatk) ms^(-1)`. The velocity of the particle

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Assertion: For looping a vertical loop of radius `r`, the minimum velocity at lowest point should be `sqrt(5gr)`. Reason: In this event, the velocity at the highest point will be

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Principle of Conservation of EnergyTotal energy of an isolated system always remains constant. Since, the universe as a whole may be viewed as an isolated system, total energy of the universe is constant. If one part of the universe loses energy, then other part must gain an equal amount of energy. The principle of conservation of energy cannot be proved as such. However, no violation of this principle has been observed.A body of mass 5 kg is thrown vertically up with a kinetic energy of `490J`. The height at which the kinetic energy of the body becomes half of the

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When a ceiling fan is switched OFF, its angular velocity fall to half while it makes 36 rotations. How many more rotations will it make before coming to rest? (Assume uniform angular

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Assertion: A solid sphere cannot roll without slipping on smooth horizontal surface. Reason: If the sphere is left free on smooth inclined surface, it can roll without

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Rolling MotionThe rolling motion can be regarded as the combination of pure rotation and pure translation. It is also one of the most common motions observed in daily life.Suppose the rolling motion (without slipping) of a circular disc on a level surface. At any instant, the point of contact `P_0` of the disc with the surface is at rest (as there is no slipping). If `v_(CM)` is the velocity of centre of mass which is the geometric centre C of the disc, then the translational velocity of disc is `v_(CM)`, which is parallel to the level surface.Velocity of centre of

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The gravitational potential energy of a system consisting two particles separated by a distance r

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Assertion: Work done by or against gravitational force in moving a body from one point to another is independent of the actual path followed between the two points. Reason: This is because gravitational forces are conservative in

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Assertion: The total energy of the satellite is always negative irrespective of the nature of its orbit, i.e. elliptical or circular and it cannot be positive or zero. Reason: If the total energy is negative the satellite would leave its

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Assertion: An object is weightless when it is in free fall and this phenomenon is called weightlessness. Reason: In free fall, there is upward force acting on the

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Earth’s SatelliteEarth satellites are objects which revolve around the earth. Their motion is very similar to the motion of planets around the Sun. In particular, their orbits around the earth are circular or elliptic. Moon is the only natural satellite of the earth with a near circular orbit with a time period of approximately 27.3 days which is also roughly equal to the rotational period of the moon about its own axis. Also, the speed that a satellite needs to be travelling to break free of a planet or moon’s gravity well and leave it without further propulsion is known

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An 8 kg body performs S.H.M. of amplitude 30 cm. The restoring force is 60N, when the displacement is 30cm. Find: - a) Time period b) the acceleration c) potential and kinetic energy when the displacement is

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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