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

Options

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

Answer

C

Explanation

Rate of melting of ice `qprop(1)/(R )`, where R is thermal resistance.
`:.(q_(1))/(q_(2))=(R_(2))/(R_(1))`
Since `R_(1)=(R)/(2)` being in series & `R_(2)=R+R=2R`.
`:.(q_(1))/(q_(2))=(4)/(1)`
Correct choice is (c).