A steel rod with Young's modulus Y = 2.0 × 1011 N/m2 and coefficient of linear expansion α = 10-5 °C-1 having a length of 4 m and cross-sectional area of 10 cm2 is heated from 0°C to 400°C without being allowed to extend. The tension produced in the rod is x × 105 N, where the value of x is:

A block of metal A is connected in series with another block of metal B such that both blocks have the same area of cross-section and thickness. The thermal conductivity of metal A is K and its free end is at 80°C. The temperature of the interface is 60°C and the free end of metal B is at 20°C. Under steady state, the thermal conductivity of metal B is:

80 g of water at 30°C is poured on a large block of ice at 0°C. What is the mass of ice that melts? (Take specific heat capacity of water = 1 cal/g°C and latent heat of fusion of ice = 80 cal/g)