Three bars of equal lengths and equal area of cross-sections are co...

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Three bars of equal lengths and equal area of cross-sections are connected in series. Their thermal conductivities are in the ratio of \( 2: 4: 3 \). If the open ends of the first and the last bars are at temperature \( 200^{\circ} \mathrm{C} \) and \( 18^{\circ} \mathrm{C} \), respectively in the steady state, then calculate the temperatures of both the junctions.
(a) \( 116^{\circ} \mathrm{C}, 74^{\circ} \mathrm{C} \)
(b) \( 120^{\circ} \mathrm{C}, 180^{\circ} \mathrm{C} \)
(c) \( 125^{\circ} \mathrm{C}, 50^{\circ} \mathrm{C} \)
(d) \( 130^{\circ} \mathrm{C}, 40^{\circ} \mathrm{C} \)
W)
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