AIEEE Exam

Two concentric metal spheres X and Y
X carries a positive charge, and Y
is connected to ground. True statements include
which of the following ?
I. The electric field inside X is zero
II. The electric field outside Y is zero
III. The charge density on both spheres is the same
(A) I only
(B) III only
(C) I and II only
(D) II and III only

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AIEEE Other Question

the cross section of a
long cable that has an inner wire of radius R
surrounded by a conducting sheath of outer
radius 2R. The wire and the sheath carry currents
in opposite directions but with the same uniform
current density J. What is the magnitude of the
magnetic field at the surface of the outer
conductor ? the switch S is initially
open, and the capacitor C is charged with the
polarity indicated. The switch is then closed, and
the capacitor begins discharging through the
resistor. Which of the following is true of the
current that is subsequently induced in the circular
wire loop near the long, straight wire AB ?
(A) It is counterclockwise and increases with time
(B) It is counterclockwise and decreases with time
(C) It is clockwise and increases with time
(D) It is clockwise and decreases with time