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Q.

Three metal rods of same lengths and same area of cross-section having conductivities 1, 2, 3 units are connected in series. Then their effective conductivity will be

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a

2.8 units

b

1.6 units

c

2.4 units

d

2 units

answer is B.

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Detailed Solution

if n conductors of thermal conductivitivities k, 1 k, 2 k  3....... are in series then nk=1k1+1k2+1k3+ ......+1kn for 3 conckuctors 3k=1k1+1k2+1k3⇒3k=11+12+13⇒k=1.6

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