Two rods A and B of different materials are welded together as shown in figure. Their thermal conductivities are K₁ and K₂. The thermal conductivity of the composite will be

A rectangular film of liquid is extended from (4 cm $$ \times $$ 2 cm) to (5 cm $$ \times $$ 4 cm). If the work done is 3 $$ \times $$ 10^$$-$$4 J, the value of the surface tension of the liquid is

Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is at 100^oC, while the other one is at 0^oC. If the two bodies are brought into contact, then, assuming no heat loss, the final common temperature is

Three liquids of densities $$\rho $$₁, $$\rho $$₂  and $$\rho $$₃ (with $$\rho $$₁ > $$\rho $$₂ > $$\rho $$₃), having the same value of surface tension T, rise to the same height in three identical capillaries. The angles of contact $$\theta $$₁, $$\theta $$₂ and $$\theta $$₃ obey