Two identical conducting rods are first connected independently to two vessels, one containing water at $100^o\ C$ and the other containing ice at $0^o\  C$. In the second case, the rods are joined end to end and connected to the same vessels. Let $q_1$ and $q_2\  g/s$ be the rate of melting of ice in the two cases respectively. The ratio $q_2/q_1$ is

  • A

    $\frac{1}{2}$

  • B

    $\frac{2}{1}$

  • C

    $\frac{4}{1}$

  • D

    $\frac{1}{4}$

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