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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524

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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