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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

1 Answer

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by (49.1k points)
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Best answer

Correct option is (D) P → 3, Q → 4, R → 2, S → 5

And magnetic force = i\(\ell\)B = 0.12 N 

And power dissipated = 0.144 W

Also, Terminal velocity = 2 m/s

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