A highly conducting solid cylinder of radius a and length \( l \) i...

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A highly conducting solid cylinder of radius a and length \( l \) is surrounded by a co-axial layer of a material having thermal conductivity \( \mathrm{K} \) and negligible heat capacity. Temperature of surrounding
\( \mathrm{P} \) 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
W increase temperature of the cylinder from \( \mathrm{T}_{1} \) to \( \mathrm{T}_{2} \). Assume end faces to be thermally insulated.
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