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Q.

An Aluminium α=4×10−3K−1 resistance R1 and a carbon α=−0.5×10−3K−1 resistance R2 are connected in series to have a resultant resistance of 36Ω at all temperatures. The values of R1 and R2 in  Ω respectively are :

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a

32, 4

b

16, 20

c

4, 32

d

20, 16

answer is C.

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Detailed Solution

R1α1=R2α2 and R1+R2=36ohm.
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An Aluminium α=4×10−3K−1 resistance R1 and a carbon α=−0.5×10−3K−1 resistance R2 are connected in series to have a resultant resistance of 36Ω at all temperatures. The values of R1 and R2 in  Ω respectively are :