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 and q_2` gram per second be the rate of melting of ice in the two cases respectively. The ratio `q_1/q_2` is
(a) `1/2` (b)`2/1` (c)`4/1` (d)`1/4`

Options

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

Answer

C

Explanation

(3) `R_(eq) = R//2`
`i = (100 - 0)/(R//2) = q_(1) L_(ice)`
`R_(eq) = 2 R`
`i = (100 - 0)/(2R) = q_(2) L_(ice)`
(i), (ii)
`4 = (q_(1))/(q_(2))`