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Question 34

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 $$e^{-1} = 0.4$$]

image
List-IList-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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