Question

Two rods \(A\) and \(B\) of equal dimensions having thermal conductivities \(K\) and \(2K\) respectively are joined in series. Under steady-state conditions, if the temperature difference between the rods \(A\) and \(B\) is \(12^\circ\mathrm{C}\), then the temperature difference between the open ends of the rods \(A\) and \(B\) is

• A. \(36^\circ\mathrm{C}\)
• B. \(6^\circ\mathrm{C}\)
• C. \(18^\circ\mathrm{C}\)
• D. \(24^\circ\mathrm{C}\)

Hint:

For rods connected in series, \[ \boxed{ \Delta T \propto R=\frac{L}{KA} } \] where \(R\) is the thermal resistance.

Answer 1

The Correct Option is C