Two identical rods are connected between two containers. One of them is at `100^(@)C` containing water and another is at `0^(@)C` containing ice. If rods are connected in parallel then the rate of melting of ice is `q_(1)g//s` . If they are connected in series then teh rate is `q_(2)g//s` . The ratio `q_(2)//q_(1)` is

Answer

4

Explanation

`("Temperature difference")/("Thermal resistance") =L ((dm)/(dt))`
`(dm)/(dt) prop (1)/("Thermal resistance") , q prop (1)/(R )`
The rods are in parallel in the first case and they are in series in the second case `(q_(1))/(q_(2)) = (2R)/((R//2)) =4` .