Rod B is made of the same material as Rod A

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Thermodynamics · Thermodynamics

Problem

Rod B is made of the same material as Rod A. Rod A has length

L

and cross-sectional area

A

. Rod B has length

2L

and cross-sectional area

3A

. If the same temperature difference

\Delta T

is applied across each rod, what is the ratio

\left(\dfrac{Q}{\Delta t}\right)_\text{B} \big/ \left(\dfrac{Q}{\Delta t}\right)_\text{A}

? (a)

\dfrac{1}{2}

(b)

\dfrac{2}{3}

(c)

2

(d)

\dfrac{3}{2}