A metal rod \( A B \) of length \( 10 x \) has its one end \( A \) ...
0A metal rod \( A B \) of length \( 10 x \) has its one end \( A \) in ice at \( 0^{\circ} \mathrm{C} \) and the other end \( B \) in water at \( 100^{\circ} \mathrm{C} \). If a point \( P \) on the
\( \mathrm{P} \) rod is maintained at \( 400^{\circ} \mathrm{C} \), then it is found that equal amounts of water and ice evaporate and melt per unit time.
W The latent heat of evaporation of water is \( 540 \mathrm{cal} / \mathrm{g} \) and latent heat of melting of ice is \( 80 \mathrm{cal} / \mathrm{g} \). If the point \( P \) is at a distance of \( \lambda x \) from the ice end \( A \), find the value of \( \lambda \) [Neglect any heat loss to the surrounding]
[IIT-JEE 2009]
(a) 9
(b) 2
(c) 6
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