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Two identical conducting rods are first connected independently to two vessels, one containing water at `100^(@)C` and the other containing ice at `0^(@)C`. In the second case, the rods are joined end to end connected to the same vessels. Let `m_(1) and m_(2)` g/s be the rate of melting of ice in the two cases respectively, the ratio `(m_(1))/(m_(2))` is

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Choose the correct option: Two identical conducting rods are first connected independently to two vessels, one containing water at 100^@C and the other containing ice at 0^@C . In the second case, the rods are joined end to end and connected to the same vessels. Let q_1 and q_2 gram per second be the rate of melting of ice in the two cases respectively. The ratio q_1/q_2 is:

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