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Two resistances R1 and R2 are made of different materials. The temperature coefficient of the material of R1 is a and of the material of R2 is −β. The resistance of the series combination of R1 and R2 will not change with temperature, if R1/R2 equals

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a

αβ

b

α+βα−β

c

α2+β2αβ

d

βα

answer is D.

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Detailed Solution

R1+R2=R1 1+αt + R2 1−βt⇒R1+R2=R1 +R2+R1αt−R2βt⇒ R1R2=βα

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