A cylindrical block of length 0.4 m and area of cross-section 0.04m^(2) is placed coaxially on a thin metal, disc of mass 0.4 kg and same cross-section. The upper face of the cylinder is maintained at a constant temperature of 400K and the initial temperature of the disc is 300K. If the thermal conductivity of the material of the cylinder is 10W/mK, the specific heat of the material of the disc is 600 J/kg-K, and the time taken for the temperature of the disc to increase to 350K is x min 48sec, then what is the value of x? Assume for purpose of calculation the thermal conductivity of the disc to be very high and the system to bee thermally insulated except for the upper face of the cylinder.

A cylindrical block of length 0.4 m and area of cross-section 0.04m^(2

1.	A cylindrical block of length 0.4 m and area of cross-section 0.04m^(2) is placed coaxially on a thin metal, disc of mass 0.4 kg and same cross-section. The upper face of the cylinder is maintained at a constant temperature of 400K and the initial temperature of the disc is 300K. If the thermal conductivity of the material of the cylinder is 10W/mK, the specific heat of the material of the disc is 600 J/kg-K, and the time taken for the temperature of the disc to increase to 350K is x min 48sec, then what is the value of x? Assume for purpose of calculation the thermal conductivity of the disc to be very high and the system to bee thermally insulated except for the upper face of the cylinder.
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