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Question

Statement 1 : Equivalent thermal conductivity of two rods of same physical dimensions and having same thermal conductivity (k) connected to each other in parallel combination is equal to k.
Statement 2 : Equivalent thermal conductivity of two rods of same physical dimensions and having same thermal conductivity (k), connected to each other in series combination is equal to k.

A
Statement 1 is true but statement 2 is false.
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B
Statement 2 is true but statement 1 is false.
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C
Both statement 1 and statement 2 are true.
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D
Both statement 1 and statement 2 are false.
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Solution

The correct option is C Both statement 1 and statement 2 are true.
In series combination,
If A1=A2, l1=l2
keq=2k1k2k1+k2
Since, k1=k2, we get equivalent thermal conductivity =k.
In parallel combination, if l1=l2 we get
keq=k1A1+k2A2A1+A2
Since, A1=A2 and k1=k2=k, we get keq=k

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