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An uniform magnetic field of 12T is inside plane of the figure. The resistance of rod is 25 $Ω$ , mass is 36g, and it can slide freely on smooth parallel rails which are perfectly conducting. The whole system is in horizontal plane. If the rod starts from rest, what is its terminal velocity (in ms^-1)?

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answer is 6.

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Detailed Solution

The speed of rod will increase till the motional EMF will generated on the rod is less than 36V( Force will act as long as there is current in the rod)

$ε = Blv = 36 v = \frac{36}{12 \times 0 .5} = 6 {ms}^{- 1}$

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