Question

50. The coefficient of thermal conductivity of copper is 9 times that of steel. In the composite
cylindrical bar shown in the figure, what will be the temperature at the junction of
copper and steel?
100°C
0°C
corper
steel
18 cm
6 cm
a. 75°C
b. 67°C
c. 25°C
a. 33°C

Answer 1

temperature at the junction is 75°

it is given that,

coefficient of thermal conductivity is 9 times that of steel.

i.e., $K_{c}=9K_{s}$......(1)

temperature at the junction is T.

using concepts,

$T=\frac{\frac{K_c}{l_c}T_c+\frac{K_s}{l_s}T_s}{\frac{K_c}{l_c}+\frac{K_s}{l_s}}$

= $\frac{\frac{9K_s}{18cm}100+\frac{K_s}{6cm}0}{\frac{9K_s}{18cm}+\frac{K_s}{6cm}}$

= (50)/(1/2 + 1/6)

= 50/(8/12)

= 50/(2/3)

= 75°C

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Answer 2

$\huge\bold\purple{Answer:-}$

coefficient of thermal conductivity is 9 times that of steel.

i.e., K_{c}=9K_{s}......(1)

temperature at the junction is T.

using concepts,

T=\frac{\frac{K_c}{l_c}T_c+\frac{K_s}{l_s}T_s}{\frac{K_c}{l_c}+\frac{K_s}{l_s}}

= \frac{\frac{9K_s}{18cm}100+\frac{K_s}{6cm}0}{\frac{9K_s}{18cm}+\frac{K_s}{6cm}}

= (50)/(1/2 + 1/6)

= 50/(8/12)

= 50/(2/3)

= 75°C