IIT-JEE Exam Logical Reasoning Decision Making and Problem Solving

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

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IIT-JEE Other Question

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
A point mass of 1 kg collides elastically with a stationary point mass of 5 kg. After their collision, the 1 kg
mass reverses its direction and moves with a speed of 2 ms–1. Which of the following statement(s) is (are)
correct for the system of these two masses ?
(A) total momentum of the system is 3 kg ms–1
(B) momentum of 5 kg mass after collision is 4 kg ms–1
(C) kinetic energy of the center of mass is 0.75 J
(D) total kinetic energy of the system is 4 J.