If $K_1$ and $K_2$ are the thermal conductivities $L_1$ and $L_2$ are the lengths and $A_1$ and $A_2$ are the cross sectional areas of steel and copper rods respectively such that $\frac{K_2}{K_1}=9,\frac{A_1}{A_2}=2,\frac{L_1}{L_2}=2$. Then, for the arrangement as shown in the figure. The value of temperature $T$ of the steel - copper junction in the steady state will be

• A

  $18°\mathrm{C}$
• B

  $14°\mathrm{C}$
• Correct answer
  C

  $45°\mathrm{C}$
• D

  $150°\mathrm{C}$

Hence, the correct answer is option: 'C'.