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Question

The dimensions of the coefficient of thermal conductivity are


A

ML1T2K1

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B

ML2T3K1

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C

ML1T1K1

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D

MLT3K1

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Solution

The correct option is D

MLT3K1


For bar of cross-sectional area A,length (l) and having temperatures θ1 and θ2 at its two ends, the amount of heat energy Q flowing normally across the bar in time (t) is given byQ=KA(θ1θ2)tl Where K is the coefficient of thermal conductivity . Therefore,K=QlA(θ1θ2)t of k=dimensions of Q×dimensions of ldimensions of A× of(θ1θ2)×dimensions of t=ML2T2×LL2×K×T=MLT3K1 Hence the correct choice is (d)


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