Question:

Three rods of copper , brass and steel are welded together to form a Y-shaped structure .Area of cross -section of each rod is $4cm^2$.End of copper rod is maintained at $100^{\circ}C$ whereas ends of brass and steel are kept at $0^{\circ C}$ Lengths of the copper, brass and steel rods are 46,13 and 12 cm respectively The rods are thermally insulated from surroundings except at ends.Thermal conductivities of copper , brass and steel are 092 , 0.26 and 0.12 in CGS units , respectively .Rate of heat flow throught cooper rod is

Updated On: Jul 5, 2024
  • 1.2 cal /s
  • 2.4 cal/s
  • 4.8 cal/s
  • 6.0 cal/s
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The Correct Option is C

Solution and Explanation

$Q= Q_{1}+Q_{2} $ $ \frac{0.92 \times 4(100-T)}{46}=\frac{0.26 \times 4 \times(T-0)}{13}+\frac{0.12 \times 4 \times T}{12} $ $\Rightarrow 200-2 T=2 T+T $ $\Rightarrow T=40^{\circ} C $ $\Rightarrow Q=\frac{0.92 \times 4 \times 60}{46}$ $=4.8\, cal / s$
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Concepts Used:

Heat Transfer

What is Heat Transfer?

It is defined as the movement of heat across the border of the system due to a difference in temperature between system and its surroundings.

How is Heat Transferred?

Heat can travel from one place to another in several ways. The different modes of heat transfer include:

  • Conduction - Heat flows from things with higher temp to objects with lower temp.
  • Convection - Movement of liquid molecules from higher temp regions to lower temp regions.
  • Radiation - Radiant heat is present in every other way in our daily lives. Thermal radiations are also known to as radiant heat. Thermal radiation is generated by the emission of electromagnetic waves.