Q.

In a magnetic field as shown, in figure two horizontal wires of same mass and lengths l1 and l2 are free to slide on different vertical rails with velocities v1 and v2 respectively. If the resistances of two circuits ate same and a1 and a2 are accelerations of two horizontal wires respectively, the condition for a1 > a2 is

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a

l1l2=v2v1

b

l1l2>v2v11/2

c

l1l2

d

l1l2

answer is B.

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Detailed Solution

B2v1l12R-mg=ma1 B2v1l22R-mg=ma2 a1-a2=B2mRv1l12-v2l22 For a1>a2,v2l12>v2l22 l1l2>v2v11/2
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In a magnetic field as shown, in figure two horizontal wires of same mass and lengths l1 and l2 are free to slide on different vertical rails with velocities v1 and v2 respectively. If the resistances of two circuits ate same and a1 and a2 are accelerations of two horizontal wires respectively, the condition for a1 > a2 is