Question

The ends of a metal bar of constant cross-sectional area are maintained at temperatures T₁ and T₂ which are both higher than the temperature of the surroundings. If the bar is unlagged, which one of the following sketches best represents the variation of temperature with distance along the bar ?

• A.
• B.
• C.
• D.

Answer 1

Answer: (A)

Answer 2

$\frac{T_{1} - T}{x} = \frac{T - T_{2}}{L - x}$

Ž T₁L – T₁x + Tx – TL = Tx – T₂x

TL = (T₂ – T₁)x + T₁L