A rod of negligible heat capacity has length 20cm, area of cross section `1.0cm^(2)` and thermal conductivity `200Wm^(-1)`^(@)C^(-1)` . The temperature of one end is maintained at `0^(@)C` and that of the other end is showly and linearly varied from `0^(@)C` to `60^(@)C` in 10 minutes. Assuming no loss of heat through the sides, find the total heat transmitted through the rod in these 10 minutes.

A rod of negligible heat capacity has a length of 50 cm, area of cross section 5cm^(2) and thermal conductivity 500 W//m^(@)C . The temperature of one end is maintained at 0^(@)C and that fo the other end is slowly and linearly varied from 0^(@)C to 60^(@)C in 20 min. Assuming no heat loss through the lateral side, the total heat transmitted throught he rod in 20 minutes is

A rod of negligible heat capacity has a length of 50 cm, area of cross section 5cm^(2) and thermal conductivity 500 W//m^(@)C . The temperature of one end is maintained at 0^(@)C and that fo the other end is slowly and linearly varied from 0^(@)C to 60^(@)C in 20 min. Assuming no heat loss through the lateral side, the total heat transmitted throught he rod in 20 minutes is

Two parallel plates A and B are joined together to form a compound plate . The thicknesses of the plate are 4.0cm and 2.5cm respectively and the area of cross section is 100cm^(2) for each plate. The thermal conductivities are K_(A)=200Wm^(-1) C^(-1) for plate A and K_(B)=400Wm^(-1) C^(-1) for the plate B. The outer surface of the plate A is maintained at 100^(@)C and the outer surface of the plate B is maintained at 0^(@)C . Find (a) the rate of heat flow through any cross section, (b) the temperature at the interface and (c) the equivalent thermal conductivity of the compound plate.

Two parallel plates A and B are joined together to form a compound plate . The thicknesses of the plate are 4.0cm and 2.5cm respectively and the area of cross section is 100cm^(2) for each plate. The thermal conductivities are K_(A)=200Wm^(-1) C^(-1) for plate A and K_(B)=400Wm^(-1) C^(-1) for the plate B. The outer surface of the plate A is maintained at 100^(@)C and the outer surface of the plate B is maintained at 0^(@)C . Find (a) the rate of heat flow through any cross section, (b) the temperature at the interface and (c) the equivalent thermal conductivity of the compound plate.

One end of a metal rod of length 1.0 m and area of cross section 100 cm^(2) is maintained at . 100^(@)C . If the other end of the rod is maintained at 0^(@)C , the quantity of heat transmitted through the rod per minute is (Coefficient of thermal conductivity of material of rod = 100 W//m-K )

A cylindrical steel rod of length 0.10 m and thermal conductivity 50 W.m^(-1) K^(-1) is welded end to end to copper rod of thermal conductivity 400 W.m^(-1). K^(-1) and of the same area of cross section but 0.20 m long. The free end of the steel rod is maintained at 100^(@)C and that of the copper and at 0^(@)C . Assuming that the rods are perfectly insulated from the surrounding, the temperature at the junction of the two rods–

A container of negligible heat capacity contains 1kg of water. It is connected by a steel rod of length 10m and area of cross-section 10cm^(2) to a large steam chamber which is maintained at 100^(@)C . If initial temperature of water is 0^(@)C , find the time after which it beomes 50^(@)C . (Neglect heat capacity of steel rod and assume no loss of heat to surroundings) (use table 3.1 , take specific heat of water =4180 J//kg.^(@)C)