Problem

Two identical conducting rods are first connected independently to two vessels, one containing water at

100^\circ\text{C}

and the other containing ice at

0^\circ\text{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

\frac{q_1}{q_2}

is (JEE 2004) a.

\frac{1}{2}

\frac{2}{1}

\frac{4}{1}

\frac{1}{4}