1
JEE Advanced 2013 Paper 2 Offline
MCQ (More than One Correct Answer)
+3
-0.75
A particle of mass m is attached to one end of a mass-less spring of force constant k, lying on a frictionless horizontal plane. The other end of the spring is fixed. The particle starts moving horizontally from its equilibrium position at time t = 0 with an initial velocity u0. When the speed of the particle is 0.5 u0. It collides elastically with a rigid wall. After this collision,
A
the speed of the particle when it returns to its equilibrium position is u0.
B
the time at which the particle passes through the equilibrium position for the first time is $$t = \pi \sqrt {{m \over k}}$$
C
the time at which the maximum compression of the spring occurs is $$t = {{4\pi } \over 3}\sqrt {{m \over k}}$$
D
the time at which the particle passes through the equilibrium position for the second time is $$t = {{5\pi } \over 3}\sqrt {{m \over k}}$$
2
JEE Advanced 2013 Paper 2 Offline
MCQ (More than One Correct Answer)
+3
-0.75
Two bodies, each of mass M, are kept fixed with a separation $$2L$$. A particle of mass m is projected from the midpoint of the line joining their centres, perpendicular to the line. The gravitational constant is G. The correct statement(s) is (are)
A
The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is $$4\sqrt {{{GM} \over L}}$$
B
The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is $$2\sqrt {{{GM} \over L}}$$
C
The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is $$\sqrt {{{2GM} \over L}}$$
D
The energy of the mass m remains constant.
3
JEE Advanced 2013 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-1
Two non-conducting spheres of radii $${R_1}$$ and $${R_2}$$ and carrying uniform volume charge densities $$+ \rho$$ and $$- \rho ,$$ respectively, are placed such that they partially overlap, as shown in the figure. At all points in the overlapping region A
The electrostatic field is zero
B
The electrostatic potential is constant
C
The electrostatic field is constant in magnitude
D
The electrostatic field has same direction
4
JEE Advanced 2013 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2

A steady current I flows along an infinitely long hollow cylindrical conductor of radius R. This cylinder is placed coaxially inside an infinite solenoid of radius 2R. The solenoid has n turns per unit length and carries a steady current I. Consider a point P at a distance r from the common axis. The correct statement(s) is(are)

A
In the region 0 < r < R, the magnetic field is non-zero.
B
In the region R < r < 2R, the magnetic field is along the common axis.
C
In the region R < r < 2R, the magnetic field is tangential to the circle of radius r, centred on the axis.
D
In the region r > 2R, the magnetic field is non-zero.
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