The container `A` is constantly maintained at `100^(@)C` and insulated container `B` in the contains ice at `0^(@)C` Different rods are used to connect them For a rod made of copper, it takes 30 mintes for the ice to melt and for a rod of steel of same cross-section taken in different experiment it takes 60 minutes for ice to melt. When these rods are simultaneously connected in parallel, the ice melts is
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One end of conducting rod is maintained at temperature 50^(@)C and at the other end ice is melting at 0^(@)C . The rate of melting of ice is doubled if:

One end of conducting rod is maintained at temperature 50^(@)C and at the other end ice is melting at 0^(@)C . The rate of melting of ice is doubled if:

Some pure ice is put in brine taken in a perfect insulated container at 0^(@)C . The mass of ice

Two containers having boiling water and ice are connected through a conducting metal rod. The whole ice melts in time T. now the rod is cut into two equal parts and both parts are connected in parallel between the containers the time required to melt the same amount of ice will be

Two containers having boiling water and ice are connected through a conducting metal rod. The whole ice melts in time T. now the rod is cut into two equal parts and both parts are connected in parallel between the containers the time required to melt the same amount of ice will be

An insulated container is filled with ice at 0^(@)C, and another container is filled with water that is continuously boiling at 100^(@)C. In series of experiments, the container connected by various, thick metal rods that pass through the walls of container as shown in the figure-4.46. In the experiment- I: A copper rod is used and all ice melts is 20 minutes. In the experiment - II: A steel rod of identical dimensions is used and all melts in 80 minutes. In the experiment-III: Both the are used in parallel all ice melts in t_(10) minutes. In the cxperiment-IV: Both rods are used in parallel all ice melts in t_(20)

The container A contains ice at O^(@)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 container A. The complete ice melts in 23 minutes. In another experiment, two conductors in shape of quarter circle 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 same material and have same cross sectional area. Once again the end P is maintained at 100^(@)C and this time the com- plete ice melts in t min- ute. Find t. Assume no heat loss from the curved surface of the rods. [Take pi~=3.0 ]

Two closed containers of same dimensions made of different materials are completely filled with ice. The ice in the first container takes 20 minutes and that in the second container takes 10 minutes, respectively for complete melting. The ratio of the thermal conductivities of the materials of the two containers is _______