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A highly conducting solid cylinder of ra...

A highly conducting solid cylinder of radius a and length `l` is surrounded by a co-axial layer of a material having thermal conductivity K and negligible heat capacity. Temperature of surrounding space (out side the layer) is `T_0`, which is higher than temperature of the cylinder. If heat capacity per unit volume of cylinder material is s and outer radius of the layer is b, calculate time required to increase temperature of the cylinder from `T_1 to T_2`. Assume end faces to be thermally insulated.

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