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Q.

A copper rod ABCD is bent in the form of a circular arc as shown in the figure and its two end are connected to the terminals of a battery. If drift velocity of free electrons at the edges AB and CD are V1 and V2 respectively, then

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a

V1 = V2

b

V1 > V2

c

V1 < V2

d

sufficient information is not given to compare V1 with V2

answer is C.

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Detailed Solution

consider two arc like elements, each of cross sectional area ∆A, near the edges AB and CD.Now Vd=jne=Eρ.l∆A.∆A.ne=Eρnel⇒Vd∝1lsince the arc length AB is greater than CD, we can conclude V1 < V2 .
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A copper rod ABCD is bent in the form of a circular arc as shown in the figure and its two end are connected to the terminals of a battery. If drift velocity of free electrons at the edges AB and CD are V1 and V2 respectively, then