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Q.

An aluminum αAl=4×103/0C wire resistance ‘R1 ’ and carbon wire αC=-0.5×103/0C  resistance ‘ R2’ are connected in series to have a resultant resistance of 18 ohm at all temperatures .  The values of  R1 and R2  in ohms

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a

2,16

b

13,5

c

12,4

d

14,4

answer is A.

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Detailed Solution

Given αAl=4×103/0C αC=0.5×103/0C

R1+R2=18Ω, R1αAl=R2αC
R1R2=αCαAi=0.54=18R2=8R1

R1+R2=189R1=18 R1=2Ω ,R2=16Ω

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