A thin conducting rod MN of mass 20gm, length25 cm and resistance 10Ω is 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 $g = 10 {ms}^{- 2}$ 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 ms^-1 (4) 0.12
(5) 2.00

Question

A thin conducting rod MN of mass 20gm, length25 cm and resistance 10Ω is 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 $g = 10 {ms}^{- 2}$ 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 ms^-1	(4)	0.12
		(5)	2.00

Infinity Learn · Accepted Answer

$P \to 3, Q \to 4, R \to 2, S \to 5$

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