Two identical metal rods differ only in their dimensions

PHYSICS · Subjective · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

Two identical metal rods differ only in their dimensions. Rod X has length

L

and cross-sectional area

A

. Rod Y has length

2L

and cross-sectional area

3A

. Both ends of each rod are maintained at the same temperature difference

\Delta T

. Determine the ratio

\left(\dfrac{\dot Q_Y}{\dot Q_X}\right)

of their steady-state energy transfer rates.