The container A contains ice at 0∘C. A conducting uniform rod PQ of length 4R is used to transfer heat to the ice in the container. The end P of the rod is maintained at 100∘C and the other end Q is kept inside the container A. The complete ice melts in 23 minutes. In another experiments, two conductors in the shape of quarter circles of radii 2R and R are welded to the conductor PQ at M and N respectively and their other ends are inserted inside the container A. All conductors are made of the same material and have the same cross sectional area. Once again, the end P is maintained at 100∘C and this time, the complete ice melts in t minutes. Find t.[Assume no heat loss from the curved surface of the rods and take π≃3.0]

The container A contains ice at 0∘C. A conducting uniform rod PQ of

1.	The container A contains ice at 0∘C. A conducting uniform rod PQ of length 4R is used to transfer heat to the ice in the container. The end P of the rod is maintained at 100∘C and the other end Q is kept inside the container A. The complete ice melts in 23 minutes. In another experiments, two conductors in the shape of quarter circles of radii 2R and R are welded to the conductor PQ at M and N respectively and their other ends are inserted inside the container A. All conductors are made of the same material and have the same cross sectional area. Once again, the end P is maintained at 100∘C and this time, the complete ice melts in t minutes. Find t.[Assume no heat loss from the curved surface of the rods and take π≃3.0]
Answer» The container $A$ contains ice at $0^{\circ} C$ . A conducting uniform rod $P Q$ of length $4 R$ is used to transfer heat to the ice in the container. The end $P$ of the rod is maintained at $100^{\circ} C$ and the other end $Q$ is kept inside the container $A$ . The complete ice melts in $23 minutes$ . In another experiments, two conductors in the shape of quarter circles of radii $2 R$ and $R$ are welded to the conductor $P Q$ at $M$ and $N$ respectively and their other ends are inserted inside the container $A$ . All conductors are made of the same material and have the same cross sectional area. Once again, the end $P$ is maintained at $100^{\circ} C$ and this time, the complete ice melts in $t minutes$ . Find $t$ . [Assume no heat loss from the curved surface of the rods and take $π ≃ 3.0$ ]

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