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Q.

A conducting rod of mass 50 g and length 10 cm can slide without friction on two long, horizontal rails. A uniform magnetic field of magnitude 5 mT exists in the region as shown. A source S is used to maintain a constant current 2 A through the rod. If motion of the rod starts from the rest, its speed after 10 s from the start of the motion will be

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a

2 cm/s

b

8 cm/s

c

12 cm/s

d

20 cm/s

answer is D.

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Detailed Solution

The rod will move towards left with accelerationa=ilBm  ⇒  v=ilBmt=20  cm/s
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A conducting rod of mass 50 g and length 10 cm can slide without friction on two long, horizontal rails. A uniform magnetic field of magnitude 5 mT exists in the region as shown. A source S is used to maintain a constant current 2 A through the rod. If motion of the rod starts from the rest, its speed after 10 s from the start of the motion will be