JEE Advanced 2009 Physics question
A metal rod AB of length 10x has its one end A in ice at 0 °C and the other end B in water at 100 °C. If a point P on the rod is maintained at 400 °C, then it is found that equal amounts of water and ice evaporate and melt per unit time. The latent heat of evaporation of water is 540 cal/g and latent heat of melting of ice is 80 cal/g. If the point P is at a distance of λx from the ice end A, find the value of λ. [Neglect any heat loss to the surrounding.]
Answer: 9
Solution
Heat currents from P: to the ice end and to the water end . Equal masses per unit time melt and evaporate:
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