A container consists of two spherical layers, A and B, that are in perfect contact. If the radius of the interface is $r_o$, Identify the boundary conditions at the interface.
Multiple Choice
$T_A(r_o, t) = T_B(r_o, t)$ and $-k_A \frac{\partial T_A(r_o, t)}{\partial r} = -k_B \frac{\partial T_B(r_o, t)}{\partial r}$
$T_A(r_o, t) = T_B(-r_o, -t)$ and $-k_A \frac{\partial T_A(r_o, t)}{\partial r} = -k_B \frac{\partial T_B(r_o, t)}{\partial r}$
$T_A(r_o, t) = T_B(r_o, t)$ and $-k_A \frac{\partial T_A(r_o, t)}{\partial r} = k_B \frac{\partial T_B(r_o, t)}{\partial r}$
$T_A(r_o, t) = T_B(-r_o, t)$ and $-k_A \frac{\partial T_A(r_o, t)}{\partial r} = k_B \frac{\partial T_B(r_o, t)}{\partial r}$