When one end f the copper rod 30 cm long and 8 mm in diameter is kept in boiling water at `100^@ C` and the other end is kept in ice, it is found that 1.2 gm of ice melts per minute. What is the thermal conductivity of the rod ?

A metal rod 25 cm long and 10sq cm in cross section has it's one end placed in boiling water and the other end in melting ice. Calculate the mass of ice method per minute if K for metal is 378 W/mk. Latent heat of fusion of ice - 80 K cal/gm . J = 4200 j/Kcal.

Two rods 1 and 2 of same length have same temperature difference between their ends. Their thermal conductivities are K_1 and K_2 , and cross sectional areas A_1 and A_2 respectively. What is the required condition for the same rate of heat conduction in them ?

A pond is covered by a sheet of ice 2.0 cm thick (thermal conductivity 1.6 jm^(-1)s^(-1)k^(-1) . The temperature of the lower surface of ice is 0^@ C and that of the upper surface is -10^@ C . At what rate is heat conducted through each square meter of the ice ? What is the direction of this flow of energy ?

A spray pump has a cylindrical tube of cross-section 10 cm^2 and the exit side has 30 fine holes each of diameter one mm. The liquid hits the exit holes at 3 meters per minute when operated . With what speed is liquid ejected through the holes?

A steel rod is 3.000 cm in diameter at 25^@C . A brass ring has an interior diameter of 2.992 cm at 25^@C . At what common temperature will the ring just slide onto the rod ? (Coefficient of linear expansion of steel= 12 xx 10^(-6) per k and coefficient of linear expansion of brass= 18 xx 10^(-6) per k) .

An insulating wall consists of 4cm of material of thermal conductivity K_1 and a second layer of 8 cm thickness whose conductivity K_2 = 4K_1 . The innermost and outermost surfaces are kept at -10^@ C and 76^@ C respectively. Calculate the temperature at the interface.