A thin conducting rod MN of mass 20 gm, length 25 cm and resistance 10 Ω is held on frictionless, long, perfectly conducting vertical rails as shown in the figure. There is a uniform magnetic field B0 = 4 T directed perpendicular to the plane of the rod-rail arrangement. The rod is released from rest at time t = 0 and it moves down along the rails. Assume air drag is negligible. Match each quantity in List-I with an appropriate value from List-II, and choose the correct option.
[Given: The acceleration due to gravity g = 10 m s−2 and e−1 = 0.4]
List-I |
List-II |
(P) At t = 0.2 s, the magnitude of the induced emf in Volt |
(1) 0.07 |
(Q) At t = 0.2 s, the magnitude of the magnetic force in Newton |
(2) 0.14 |
(R) At t = 0.2 s, the power dissipated as heat in Watt |
(3) 1.20 |
(S) The magnitude of terminal velocity of the rod in m s−1 |
(4) 0.12 |
|
(5) 2.00 |
(A) P → 5, Q → 2, R → 3, S → 1
(B) P → 3, Q → 1, R → 4, S → 5
(C) P → 4, Q → 3, R → 1, S → 2
(D) P → 3, Q → 4, R → 2, S → 5