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JEE Advanced Mi...

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  • Question 1
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    Four satellites A, B, C and D are orbiting around a spherical planet of uniform density. The orbits of all the satellites are coplanar. Orbits of satellites A and B are circular where radius of orbit A is greater than diameter of orbit B. Orbit C is touching orbits A and B. While orbit D is touching orbit A but its nearest distance from the planet is least among all four orbits. All the satellites have same mass and these satellite can be considered as particles. There is no gravitational force between the satellite and also there is no chance of collision between the satellites. Consider gravitational potential energy to be zero under infinite separation.

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    In which orbit can the gravitational potential energy have least possible value?

  • Question 2
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    Directions For Questions

    Four satellites A, B, C and D are orbiting around a spherical planet of uniform density. The orbits of all the satellites are coplanar. Orbits of satellites A and B are circular where radius of orbit A is greater than diameter of orbit B. Orbit C is touching orbits A and B. While orbit D is touching orbit A but its nearest distance from the planet is least among all four orbits. All the satellites have same mass and these satellite can be considered as particles. There is no gravitational force between the satellite and also there is no chance of collision between the satellites. Consider gravitational potential energy to be zero under infinite separation.

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    In which orbit does the angular momentum have largest magnitude?

  • Question 3
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    A thin non-conducting ring of mass m, radius a carrying a charge q can rotate freely about its own axis which is vertical. At the initial moment the ring was at rest in horizontal position and no magnetic field was present. At instant t = 0 A uniform magnetic field is switched on which is vertically downward and increases with time according to the law B = B0t. Neglecting magnetism induced due to rotational motion of ring.

    The magnitude of induced emf will be

  • Question 4
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    One mole of a monatomic real gas satisfies the equation p (V - b) = RT where b is a constant. The relationship of interatomic potential V (r ) and interatomic distance r for the gas is given by

  • Question 5
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    The cloud consist of charged particles of water dispersed in air. Some of them are +vely charged and other are -vely charged. When +vely charged clouds come closer they have lightening and thundering whereas - ve and +ve charged colloids come closer they cause heavy rain due to the aggregation of minute particles. It is possible to cause artificial rain by throwing electrified sand or AgI from aeroplane and thus coagulation the mist hanging in air.

    When excess of 3 AgNO is treated withKI solution, AgI forms.

  • Question 6
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    The cloud consist of charged particles of water dispersed in air. Some of them are +vely charged and other are -vely charged. When +vely charged clouds come closer they have lightening and thundering whereas - ve and +ve charged colloids come closer they cause heavy rain due to the aggregation of minute particles. It is possible to cause artificial rain by throwing electrified sand or AgI from aeroplane and thus coagulation the mist hanging in air.

    Electrical chimney are made on the principal of

  • Question 7
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    Directions For Questions

    Compound (A) , which can be distilled in high vacuum, gives positive test with  Br2 / H2O , but does not react with Nametal in ethereal solution, but compound (B) and (C) gives  H2 (g) with sodium metal. Compound (A) undergoes following sequence of reactions-

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    Compound ' B' should be:

  • Question 8
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  • Question 9
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    If the area bounded by the curve y = x - x2 and the line y = mx equals 9/2. Then the value of q m is

  • Question 10
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    A box has 10 coins. Five have heads on both sides. Three have tails on both sides; two are fair. A coin is chosen at random and tossed.

    Probability that head appears is

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