Two identical conducting rods are first connected independently to two vessels, one containing water at `100^(@)C` and the other containinf ice at `0^(@)C` . In the second case, the rods are joined end to end and connected to the same vessels. Let `q_(1) and q_(2) gs^(-1)` be the rate of melting of ice in two cases respectively. the ratio of `(q_(1))/(q_(2))` is

Options

A. `(1)/(2)`
B. `(2)/(1)`
C. `(4)/(1)`
D. `(1)/(4)`

Answer

D

Explanation

`q_(1)L = (k(2A)(T_(1)- T_(2)))/(l)`
`implies q_(2)L = (kA(T_(1) - T_(2)))/(2l) implies (q_(2))/(q_(1)) = (1)/(4)`