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Physics Test 15...

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  • Question 1
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    A boy throws several balls out of the window of his house at different angles to the horizontal. All balls are thrown at speed  and it was found that all of them hit the ground making an angle of 60° or larger than that with the horizontal. Find the height (in meter) of the window above the ground. [g = 10 m/s2]

  • Question 2
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    A ball of mass (m) is rolling without sliding down an inclined plane. Choose the correct statement.

  • Question 3
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    Two particles approach each other from very large distance as shown, (consider gravitational force between the particle is negligible). If the least separation between the particles is b, what is the speed of M in center of mass frame when particles are closest ?

  • Question 4
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    An ice cream cone of mass 3M has base radius R and height h. Assume its wall to be thin and uniform. When ice cream is filled inside it (so as to occupy the complete conical space) its mass becomes 7M. Find the distance of the centre of mass of the ice cream filled cone from its vertex.

  • Question 5
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    For the logic in circuit shown in figure, choose the correct output from following options.

  • Question 6
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    A metal wire having mass M is bent in the shape of a semicircle of radius R and is sliding inside a smooth circular groove of radius R present in a horizontal table. The wire just fits into the groove and is moving at a constant speed V. Find the magnitude of angular speed of COM of wire.

  • Question 7
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    A total charge Q is spread onto a non-conducting, flat circular annular disc of inner radius a and outer radius b. The charge distributed is such that the charge density is given by , when r is the distance from the center. Find the potential at the center of disc.

  • Question 8
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    A particle of mass m and charge +q is attached to a light insulating thread of length L. The other end of the thread is secured at point O. Exactly below point O, there is a small ball having charge +Q fixed on an insulating horizontal surface. The particle remains in equilibrium vertically above the ball with tension in string equal to 2 mg. Distance of the ball from point O is L. Find time period of SHM if it is slightly displaced

  • Question 9
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    The figure shows a parallel plate capacitor filled with two different layers of materials. The upper layer 'A' is a material of thickness d1 and conductivity σ1 and the lower layer 'B' is a material of thickness d2 and conductivity σ2 . The capacitor is connected across an ideal battery of emf 'V' volt. The electric field in the material A is :

  • Question 10
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    Directions For Questions

    Infinite number of circular current carrying loops are coaxially placed with their planes parallel as shown in the diagram. The current in the first loop is I, in second loop is I/2, in third loop is I/4 and so on. In the first loop the current is upwards in the portion close to the observer. The value of the line integral of magnetic field over the axis from –∞ to +∞ i.e.,  is :

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