One end of a brass rod `2m` long and having `1cm` radius is maintained at `250^(@)C`. When a steady state is reached , the rate of heat flow acrss any cross-section is `0.5 cal s^(-1)`. What is the temperature of the other end `K=0.26"cal" s^(-1) cm^(-1). ^(@)C^(-1)`.

The end A of rod AB of length 1 m is maintained at 80^(@) C and the end B at 0^(@) C. The temperature at a distance of 60 cm from the end A is

Water is boiled in a rectangular steel tank of thickness 2 cm by a constant temperature furnace. Due to vaporisation, water level falls at a steady rate of 1 cm in 9 minutes. Calculate the temperature of the furnace. Given K for steel 0.2 cal s^(-1) m^(-1) .^(@)C^(-1)

The ends of copper rod of length 1 m and area of cross section 1cm^(2) are maintained, at 0^(0)C and 100^(0)C , and steady state achieved. At the centre of rod, there is a source of heat of 25W. The thermal conductivity of copper is 400W/mK

A bar of copper of length 75 cm and a bar of steel of length 125 cm are joined together end to end . Both are of circular cross - section with diameter 2 cm . The free ends of the copper and steel bars are maintained at 100^(@)C and 0^(@)C respectively . The surface of the bars are thermally insulted . What is the temperature of the copper - steel junction ? What is the heat transmitted per unit time across the junction ? Thermal conductivty of copper 9.2 xx 10^(-2) k cal m^(-1) ""^(@)C^(-1)s^(-1) and that of steel is 1.1 xx 10^(-2)k cal m^(-1)s^(-1) (@)C^(-1) .

One end of a uniform brass rod 20 cm long and 10 cm^2 cross-sectional area is kept at 100^@C . The other end is in perfect thermal contact with another rod of identical cross-section and length 10 cm. The free end of this rod is kept in melting ice and when the steady state has been reached, it is found that 360 g of ice melts per hour. Calculate the thermal conductivity of the rod, given that the thermal conductivity of brass is 0.25 cal//s cm^@C and L = 80 cal//g .

One end of a uniform brass rod 20 cm long and 10 cm^2 cross-sectional area is kept at 100^@C . The other end is in perfect thermal contact with another rod of identical cross-section and length 10 cm. The free end of this rod is kept in melting ice and when the steady state has been reached, it is found that 360 g of ice melts per hour. Calculate the thermal conductivity of the rod, given that the thermal conductivity of brass is 0.25 cal//s cm^@C and L = 80 cal//g .

The ends of the two rods of different materials with their lengths, diameters of cross-section and thermal conductivities all in the ratio 1 : 2 are maintained at the same temperature difference. The rate of flow of heat in the shorter rod is 1cals^(-1) . What is the rate of flow of heat in the larger rod: