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Two identical conducting rods \( A B \) and \( C D \) are connected to a circular conducting ring at two diametrically opposite points \( B \) and \( C \). The radius of the ring is equal to the length of \( \operatorname{rods} A B \) and \( C D \). The area of cross-section, and thermal conductivity of the rod and ring are equal. Points \( A \) and \( D \) are maintained at temperatures of \( 100^{\circ} \mathrm{C} \) and \( 0^{\circ} \mathrm{C} \). Temperature of point \( C \) will be :
(A) \( 62^{\circ} \mathrm{C} \)
(B) \( 37^{\circ} \mathrm{C} \)
(C) \( 28^{\circ} \mathrm{C} \)
(D) \( 45^{\circ} \mathrm{C} \)
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