Question

Two wires of the same material and same length
have radii 1 mm and 2 mm respectively. Compare :
(i) their resistances, (ii) their specific resistance...
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Answer 1

the resistance of wire with radii 1mm will be more as compared to the wire with resistance 2mm.this is because when radii is more,i.e.,area is more the elecrons will collide less with each other resulting in less resistance

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Answer 2

Answer:

(i)R=Afl

According to the question

R1=π(1×10−3)2fl     R2=π(2×10−3)2fl

R2R1=(1×10−3)2(2×10−3)2=14

Thus,R1:R2::4:1  i.e, first resistance is four times the second resistance

(ii) specific resistance ≅ Resistivity (f) depends on 

the material of the wire and as according 

to the question both wires are of same

material ⇒ resistivity of both wires is same

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