IIT-JEE Exam

A thin uniform annular disc (see figure) of mass M has outer radius 4R and
inner radius 3R. The work required to take a unit mass from point P on its
axis to infinity is

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IIT-JEE Other Question

Consider a thin square sheet of side L and thickness t, made of a material of
resistivity ρ. The resistance between two opposite faces, shown by the shaded
areas in the figure is
(A) directly proportional to L
(B) directly proportional to t
(C) independent of L
(D) independent of t. Incandescent bulbs are designed by keeping in mind that the resistance of their filament increases with the
increase in temperature. If at room temperature, 100 W, 60 W and 40 W bulbs have filament resistances
R100, R60 and R40, respectively, the relation between these resistances is