Concept:
For sustained oscillations (Barkhausen criterion):
\[
\text{Total phase shift around loop} = 360^\circ \text{ (or } 0^\circ)
\]
Step 1: Amplifier contribution
In phase shift oscillator, amplifier provides \(180^\circ\) phase shift.
Step 2: RC network contribution
Three RC sections provide additional \(180^\circ\).
Step 3: Total phase shift
\[
180^\circ + 180^\circ = 360^\circ
\]
Step 4: Condition for oscillation
Loop phase shift must be multiple of \(360^\circ\).
Step 5: Conclusion
\[
\boxed{360^\circ}
\]
Final Answer:
\[
\boxed{(D)}
\]