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Question Number 137317 by physicstutes last updated on 01/Apr/21

Commented by physicstutes last updated on 01/Apr/21

The figure above shows a composite bar  made of two materials X and Y. The end  of X is maintained at 100°C and it has  length of 25 cm while that of Y is maintained  at 0°C with lenght 75 cm. Find the  ratio of the thermal conductivities  of Y and X.

$$\mathrm{The}\:\mathrm{figure}\:\mathrm{above}\:\mathrm{shows}\:\mathrm{a}\:\mathrm{composite}\:\mathrm{bar} \\ $$$$\mathrm{made}\:\mathrm{of}\:\mathrm{two}\:\mathrm{materials}\:{X}\:\mathrm{and}\:{Y}.\:\mathrm{The}\:\mathrm{end} \\ $$$$\mathrm{of}\:{X}\:\mathrm{is}\:\mathrm{maintained}\:\mathrm{at}\:\mathrm{100}°\mathrm{C}\:\mathrm{and}\:\mathrm{it}\:\mathrm{has} \\ $$$$\mathrm{length}\:\mathrm{of}\:\mathrm{25}\:\mathrm{cm}\:\mathrm{while}\:\mathrm{that}\:\mathrm{of}\:{Y}\:\mathrm{is}\:\mathrm{maintained} \\ $$$$\mathrm{at}\:\mathrm{0}°\mathrm{C}\:\mathrm{with}\:\mathrm{lenght}\:\mathrm{75}\:\mathrm{cm}.\:\mathrm{Find}\:\mathrm{the} \\ $$$$\mathrm{ratio}\:\mathrm{of}\:\mathrm{the}\:\mathrm{thermal}\:\mathrm{conductivities} \\ $$$$\mathrm{of}\:{Y}\:\mathrm{and}\:{X}. \\ $$

Commented by mr W last updated on 01/Apr/21

i don′t think we can determine this  without knowing the temperature at  the contact point of both materials.

$${i}\:{don}'{t}\:{think}\:{we}\:{can}\:{determine}\:{this} \\ $$$${without}\:{knowing}\:{the}\:{temperature}\:{at} \\ $$$${the}\:{contact}\:{point}\:{of}\:{both}\:{materials}. \\ $$

Commented by physicstutes last updated on 01/Apr/21

thank you sir,that has been my worry

$$\mathrm{thank}\:\mathrm{you}\:\mathrm{sir},\mathrm{that}\:\mathrm{has}\:\mathrm{been}\:\mathrm{my}\:\mathrm{worry}\: \\ $$

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