Question 392: Properties of Matter

Question

Which of the following rods, (given radius r and length $l$) each made of the same material and whose ends are maintained at the same temperature will conduct most heat ?

Accepted Answer

Heat conducted
$ = {{KA\left( {{T_1} - {T_2}} \right)t} \over l} = {{K\pi {r^2}\left( {{T_1} - {T_2}} \right)t} \over l}$
The rod with the maximum ratio of A/$l$ will conduct most. Here the rod with r = 2r
0
and $l = l_0$ will conduct most.

Answer

r = r
0
,    $l$ = $l$
0

Answer

r = 2r
0
,    $l$ = $l$
0

Answer

r = r
0
,    $l$ = 2$l$
0

Answer

r = 2r
0
,    $l$ = 2$l$
0

Properties of Matter

Which of the following rods, (given radius r and length l) each made of the same material and whose ends are maintained at the same temperature will conduct most heat ?

Choose the correct answer: