Four cylindrical rods of same material with length and radius (l,r),(2l,r),(l/2,r) and (l,2r) are connected between two reservoirs at `0^@C` and `100^@C`. Find the ratio of the maximum to minimum rate of cunduction in them.

Answer

8

Explanation

Rate of conduction `Rprop(r^(2))/(l)`. The ratio of conduction in them is `(r^(2))/(l):(r^(2))/(2l):(2r^(2))/(l):(4r^(2))/(l),ie.,2:1:4:8`
So the ratio of maximum and minimum conduction rate is 8 : 1, i.e., 8.