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Four cylindrical rods of same material w...

Four cylindrical rods of same material with length and radius (l,r),(2l,r),(2l,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.

Text Solution

Verified by Experts

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)`, i.e. `2:1:4:8`
So, the ratio of maximum to minimum conduction rate is `8:1`
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