Questions
Figure shows a paddle wheel coupled with an agitator submerged in a water tank placed in an ice bath. The thickness of tank walls is 2mm and with thermal conductivity . The surface area of tank in contact with water is . As the block of mass M attached to wheel goes down agitator rotates. It is found that in steady state block goes down at a constant speed of 0.1m/s and water temperature remain constant at 1°C. Find the mass of block (in kg).
detailed solution
Correct option is C
rate of loss in gravitational potential energy of block is equal to the rate of heat conduction from water to ice bath as Twater =constant.rate of loss of gravitational P.E. is = Mg vrate of the thermal conduction dθdt=kAT2−T1x=0.5×0.05×12×10−3=12.5 Js.for steady temperature of water Mg v=12.5 M=12.510×0.1=12.5kgSimilar Questions
A copper rod is joined to a steel rod in series. The rods have equal length and equal cross – sectional area. The free end of copper rod is kept at 10°C and that of steel rod is kept at 100°C. If the thermal conductivity of copper is eight times that of steel, what is the temperature at the junction of the rods ?
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