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Q.

A battery of emf E is connected across a conductor as shown. As one observes from A to B,Now, match the given columns and select the correct option from the codes given below.

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a

i-p, ii-q, iii-r, iv-s

b

i-r, ii-q, iii-q, iv-q

c

i-q, ii-p, iii-s, iv-r

d

i-s, ii-q, iii-q, iv-p

answer is B.

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Detailed Solution

Current through any cross-section should remain same as all the cross-sections are in series.I=neAvd, area increases drift velocity decreases. E is directly proportional to vd, so E also decreases. lf E decreases, then potential difference across a segment of fixed length also decreases.This can also be done like this:dR=ρdxA;  A  increases  with  x.Potential  across  dx:  dV =  IdR=IρdxAE=dVdx = IρA ∝  1ASo E and dVdx both decrease as A increases.
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