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JEE Advanced Mi...

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  • Question 1
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    Which of the following is not possible ?

  • Question 2
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    Two particle P and Q are in motion under gravity. Then

  • Question 3
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    Statment–1 : Steady flow can be maintained in compressible liquids.

    Statment–2 : Steady flow means all physical parameters related to the flow being constant with time though they may vary with position.

  • Question 4
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    Statment–1 : In a circular motion, the force must be directed perpendicular to the velocity all the time.

    Statment–2 : A centripetal force is required to provide the centripetal acceleration in a circular motion.

  • Question 5
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    Statment–1 : The centre of gravity and centre of mass of a body may be at different positions.

    Statment–2 : If the mass is uniformly distributed then only the centre of mass and centre of gravity of a body will be at the same place.

  • Question 6
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    Statment-1 : Consider an object that floats in water but sinks in oil. When the object floats in water, half of it is submerged. If we slowly pour oil on top of water till it completely covers the object, the object moves up.

    Statment-2 : As the oil is poured in the situation of statement-1, pressure inside the water will increase everywhere resulting in an increase in upward force on the object.

  • Question 7
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    Directions For Questions

    Consider a star and two planet system. The star has mass M. The planets A and B have the same mass m, radius a and they revolve around the star in circular orbits of radius r and 4r respectively (M > > m, r > > a). Planet A has intelligent life and the people of this planet have achieved a very high degree of technological advance. They wish to shift a geostationary satellite of their own planet to a geostationary orbit of planet B. They achieve this through a series of high precision maneuvers in which the satellite never has to apply brakes and not a single joule of energy is wasted. S1 is a geostationary satellite of planet A and S2 is a geostationary satellite of planet B. Neglect interaction between A and B, S1 and S2, S1 and B & S2 and A.

    ...view full instructions

    If the time period of the satellite in geostationary orbit of planet A is T, then its time period in geostationary orbit of planet B is:

  • Question 8
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    Directions For Questions

    Consider a star and two planet system. The star has mass M. The planets A and B have the same mass m, radius a and they revolve around the star in circular orbits of radius r and 4r respectively (M > > m, r > > a). Planet A has intelligent life and the people of this planet have achieved a very high degree of technological advance. They wish to shift a geostationary satellite of their own planet to a geostationary orbit of planet B. They achieve this through a series of high precision maneuvers in which the satellite never has to apply brakes and not a single joule of energy is wasted. S1 is a geostationary satellite of planet A and S2 is a geostationary satellite of planet B. Neglect interaction between A and B, S1 and S2, S1 and B & S2 and A.

    ...view full instructions

    If the radius of the geostationary orbit in planet A is given by  then the time in which the geostationary satellite will complete 1 revolution is

    I. 1 planet year = time in which planet revolves around the star

    II. 1 planet day = time in which planet revolves about its axis.

  • Question 9
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    Directions For Questions

    Consider a star and two planet system. The star has mass M. The planets A and B have the same mass m, radius a and they revolve around the star in circular orbits of radius r and 4r respectively (M > > m, r > > a). Planet A has intelligent life and the people of this planet have achieved a very high degree of technological advance. They wish to shift a geostationary satellite of their own planet to a geostationary orbit of planet B. They achieve this through a series of high precision maneuvers in which the satellite never has to apply brakes and not a single joule of energy is wasted. S1 is a geostationary satellite of planet A and S2 is a geostationary satellite of planet B. Neglect interaction between A and B, S1 and S2, S1 and B & S2 and A.

    ...view full instructions

    If planet A and B, both complete one revolution about their own axis in the same time, then the energy needed to transfer the satellite of mass m0 from planet A to planet B is -

  • Question 10
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    In the figure the variation of potential energy of a particle of mass m = 2kg is represented w.r.t. its x-coordinate. The particle moves under the effect of this conservative force along the x-axis.

    If the particle is released at the origin then :

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