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A thin conducting rod MN of mass 20 gm, length 25 cm and resistance 10 $$\Omega$$ is held on frictionless, 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 $$g = 10$$ ms$$^{-2}$$ 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 | ||
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