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Thermal Properties Of Matter

Question
CBSEENPH11020495

The temperature of two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity K and 2K and thickness x and 4x, respectively are T2 and T1 (T2 > T1). The rate of heat transfer through the slab, in a steady state isopen parentheses fraction numerator straight A left parenthesis straight T subscript 2 minus straight T subscript 1 right parenthesis straight K over denominator straight x end fraction close parentheses straight f with f, equal to

  • 1

  • 1/2

  • 2/3

  • 1/3

Solution

D.

1/3


increment straight q space equals kA over straight x space open square brackets straight T subscript 2 space minus fraction numerator 2 straight T subscript 2 minus straight T subscript 1 over denominator 3 end fraction close square brackets
space equals space fraction numerator kA over denominator 3 straight x end fraction space left square bracket straight T subscript 2 minus straight T subscript 1 right square bracket