Three identical rods are connected between two containers. One of them is at 100°C and another is at 0°C. If rods are connected in parallel then the rate of melting of ice is q 1 g / s . If they are

Question

Three identical rods are connected between two containers. One of them is at 100°C and another is at 0°C. 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 the rate is x q 1 ​ ​ . Then value of x will be.

TestHub · Accepted Answer

Each rod has thermal resistance R. Both arrangements have the same temperature difference and latent heat.
$R_{∥} = \frac{R}{3}$
$R_{series} = 3 R$
$\frac{q _{∥}}{q _{series}} = \frac{Δ T / ( R /3 )}{Δ T / ( 3 R )} = 9$
$q_{series} = \frac{q _{1}}{9}$
Therefore x = 9.

Physics - Heat & Thermo Question with Solution | TestHub

Doubts & Discussion

JEE Advanced 2028 (Class 11)