A laboratory keeps two solid cylindrical rods, X and Y
PHYSICS · Multi-part · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter
Problem
A laboratory keeps two solid cylindrical rods, X and Y, made of the same metal. Rod X has length L and radius r. Rod Y has length 2L and radius 2r. During a steady-state experiment, the ends of each rod are maintained at fixed temperatures so that the same temperature difference ΔT exists between the two ends of either rod.
Assume energy transfer occurs only by thermal conduction along the length of each rod.
(a) Without doing any numerical calculation, predict whether the rate at which energy is conducted through rod Y is greater than, less than, or equal to the rate through rod X.
(b) Provide a clear verbal justification for your prediction, explicitly referencing how the relevant geometric factors affect the rate of energy transfer.