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Q.

A thin copper rod AB of length l is rotating with constant angular velocity about an axis passing through the end A and perpendicular to the plane of page in a uniform magnetic field of induction B→ as shown in the figure. P and Q are two points on the rod such that AP=l4 and AQ=l2. If ‘V’ is the induced potential at a point on the rod, then VQ−VP/VB−VA  is

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a

524

b

18

c

34

d

316

answer is D.

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Detailed Solution

(4)VP−VA=12 Bω  l42,   VQ−VA=12 Bω  l22and   VB−VA=12 Bωl2∴   VQ−VPVB−VA  =  l22 − l42l2  =14−116=316.
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