A thin conducting rod MN of mass 20 gm, length 25 cm, and resistance 10 Ω are held on frictionless, long, perfectly conducting vertical rails as shown in the figure. There is a uniform magnetic field 𝐵
0 = 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 |