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Q.

Two cylindrical conductor having same cross-sectional area ‘A’ and but lengths ‘l’ and ‘2l’ are connected in series combination. Temperature coefficient of resistivities of their materials are α  and 2α  respectively. Then effective temperature coefficient of resistivity of the combination is

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a

7α3

b

4α3

c

5α3

d

2α3

answer is C.

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Detailed Solution

(3)Re=R1+R2=α  lA+2α.2lA=5 αlAAssuming ,  Re=αe.  leA=αe.3lAαe  3lA=5 αlA    αe = 5σ3
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