JEE Advanced Model Paper 17 with solutions for online practice

Two cylinders of equal masses, one made of material A and the other of material B, areheated to 50°C and placed on two large blocks of ice at 0°C . If both the cylinders have thesame height, find the ratio (hA∕hB) on their maximum depths of penetration in the ice.Assume that no heat is lost to the surroundings and change in gravitational potential energyis not considered.
SA = 0.12 cal g−1(C°)−1 ; ρA - 4 g cm−3
SB = 0.1 cal g−1(C°)−1 ; ρB = 2g cm−3