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Two cylinders \( P \) and \( Q \) have the same length and diameter and are made of different materials having thermal
\( \mathrm{P} \) conductivities in the ratio \( 2: 3 \). These two cylinders are combined to make a cylinder. One end of \( P \) is kept at \( 100^{\circ} \mathrm{C} \) W and another end of \( Q \) at \( 0^{\circ} \mathrm{C} \). The temperature at the interface of \( P \) and \( Q \) is
[MP PMT 1994; EAMCET 2000]
(a) \( 30^{\circ} \mathrm{C} \)
(b) \( 40^{\circ} \mathrm{C} \)
(c) \( 50^{\circ} \mathrm{C} \)
(d) \( 60^{\circ} \mathrm{C} \)
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