IIT-JEE Exam

Which of the following statement(s) is/are correct?
(A) If the electric field due to a point charge varies as r-2.5 instead of r-2, then the Gauss law will still be
valid.
(B) The Gauss law can be used to calculate the field distribution around an electric dipole
(C) If the electric field between two point charges is zero somewhere, then the sign of the two charges is
the same.
(D) The work done by the external force in moving a unit positive charge from point A at potential VA to
point B at potential VB is (VB - VA).

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IIT-JEE Other Question

A thin ring of mass 2 kg and radius 0.5 m is rolling without on
a horizontal plane with velocity 1 m/s. A small ball of mass
0.1 kg, moving with velocity 20 m/s in the opposite direction
hits the ring at a height of 0.75 m and goes vertically up with
velocity 10 m/s. Immediately after the collision

(A) the ring has pure rotation about its stationary CM.
(B) the ring comes to a complete stop.
(C) friction between the ring and the ground is to the left.
(D) there is no friction between the ring and the ground.
A series R-C circuit is connected to AC voltage source. Consider two cases; (A) when C is without a
dielectric medium and (B) when C is filled with dielectric of constant 4. The current IR through the resistor
and voltage VC across the capacitor are compared in the two cases. Which of the following is/are true?
(A) A B
R R I > I (B) A B
R R I < I
(B) A B
C C V > V (D) A B
C C V < V