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Q.

A steady current is flowing through the conductor of variable cross section as shown in the figure. Then select the correct option. 

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a

Current through 1 is less than that through 2.

b

Intensity of electric field at 1 is less than that at 2

c

Drift velocity at 1 is more than that 2.

d

Potential difference between sections 1 and 2 is more than the potential difference between the sections A and B

answer is B.

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Detailed Solution

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In a current carrying conductor, 

ρ=Resistivity =EJE=ρ.J=ρiA

Since current i is same at all sections and resistivity is constant, E1<E2.

Also, Vd=jne=ineA(vd)1<(vd)2

Again, potential drop =i.R. Effective resistance between 1 and 2 is less than that between A and B 

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