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A thin conducting rod MN of mass 20 gm, length 25 cm and resistance 10 Ω is held on frictionless, lon g, 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 th e 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
- P 5 , Q 2 , R 3 , S 1
- P 3 , Q 1 , R 4 , S 5
- P 4 , Q 3, R 1 , S 2
- P 3 , Q 4 , R 2 , S 5
Correct answer: P 3 , Q 4 , R 2 , S 5
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