IIT-JEE Exam

Consider a neutral conducting sphere. A positive point charge is placed outside the sphere. The net charge on the
sphere is then,
(A) negative and distributed uniformly over the surface of the sphere
(B) negative and appears only at the point on the sphere closest to the point charge
(C) negative and distributed non-uniformly over the entire surface of the sphere
(D) zero

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IIT-JEE Other Question

Two particle of mass m each are tied at the ends of a light string of length 2a. The
whole system is kept on a frictionless horizontal surface with the string held tight so
that each mass is at a distance ‘a’ from the center P (as shown in the figure). Now, the
mid-point of the string is pulled vertically upwards with a small but constant force F. As
a result, the particles move towards each other on the surface. The magnitude of
acceleration, when the separation between them becomes 2x is
STATEMENT-1
The formula connecting u, v and f for a spherical mirror is valid only for mirrors whose sizes are very small compared
to their radii of curvature.
because
STATEMENT-2
Laws of reflection are strictly valid for plane surfaces, but not for large spherical surfaces.
(A) Statement-1 is True, Statement-2 is True; Statement -2 is a correct explanation for Statement-1.
(B) Statement-1 is True, Statement-2 is True; Statement -2 is NOT a correct explanation for Statement-1.
(C) Statement -1 is True, Statement-2 is False.
(D) Statement -1 is False, Statement-2 is True