IIT-JEE Exam

A long, hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder of larger radius.
Both the cylinders are initially electrically neutral.
(A) A potential difference appears between the two cylinders when a charge density is given to the inner cylinder.
(B) A potential difference appears between the two cylinders when a charge density is given to the outer cylinder.
(C) No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the
cylinders.
(D) No potential difference appears between the two cylinders when same charge density is given to both the
cylinders.

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IIT-JEE Other Question
A and B run a 1 km race. If A gives B a start of 50m, A wins by 14 seconds and if A gives B a
start of 22 seconds, B wins by 20 meters. Find the time taken by A to run 1 km In an experiment to determine the focal length (f) of a concave mirror by the u–v method, a student places the object
pin A on the principal axis at a distance x from the pole P. The student looks at the pin and its inverted image from a
distance keeping his/her eye in line with PA. When the student shifts his/her eye towards left, the image appears to the
right of the object pin. Then,
(A) x < f (B) f < x < 2f
(C) x = 2f (D) x > 2f