KVPY Government Jobs Exams

A charged particle of charge q and mass m, gets deflected through an angle θ upon passing through a square
region of side 'a' which contains a uniform magnetic field B normal to its plane. Assuming that the particle
entered the square at right angles to one side, what is the speed of the particle ?

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KVPY Other Question

Two masses m1 and m2 are connected by a massless spring of spring constant k and unstreched length l. The
masses are placed on a frictionless straight channel – which we consider our x-axis. They are initially at rest
at x = 0 and x = l, respectively. At t = 0, a velocity of v0 is suddenly imparted to the first particle. At a later
time t0, the centre of mass of the two masses is A piece of hot copper at 100ºC is plunged into a pond at 30ºC. The copper cools down to 30ºC, while the
pond, being huge, stays at its initial temperature. Then-
(A) copper loses some entropy, the pond stays at the same entropy
(B) copper loses some entropy, and the pond gains exactly the same amount of entropy
(C) copper loses entropy, and the pond gains more than this amount of entropy
(D) both copper and the pond gain in entropy