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Two identical conducting rods are first ...

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`

Text Solution

Verified by Experts

`(temperature di fference)/(Thermal resistance)=L((dm)/(dt))`
`(dm)/(dt)prop(1)/(Thermal resistance)`
`qprop(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`
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