A.C. servomotor resembles:
The correct answer for the question is option 'A', i.e., Two phase induction motor. In this answer, we will discuss why A.C. servomotor resembles a two phase induction motor.

Two phase induction motor:
A two phase induction motor is a type of alternating current (A.C.) motor that operates on two phase power supply. It consists of two stator windings, which are spatially shifted by 90 degrees. The two-phase induction motor produces a rotating magnetic field that interacts with the rotor to produce torque.

Resemblance between A.C. servomotor and two phase induction motor:
There are several similarities between A.C. servomotor and a two phase induction motor that make them resemble each other:

1. Stator winding: Both A.C. servomotor and two phase induction motor have stator windings. The stator windings in both motors produce a magnetic field that interacts with the rotor.

2. Rotating magnetic field: Both motors produce a rotating magnetic field in the stator. This rotating magnetic field interacts with the rotor to produce torque.

3. Torque production: Both motors rely on the interaction between the stator magnetic field and the rotor to produce torque. The torque produced in both motors is used to drive the load or position the motor shaft.

4. Induction principle: Both motors operate based on the principle of electromagnetic induction. The rotating magnetic field induces currents in the rotor conductors, which in turn produce a torque that drives the motor.

5. Speed control: Both motors can be controlled in terms of speed. In A.C. servomotors, the speed control is achieved by controlling the frequency and voltage of the applied A.C. signal. Similarly, in two phase induction motors, speed control is achieved by controlling the frequency of the power supply.

Conclusion:
In conclusion, an A.C. servomotor resembles a two phase induction motor due to the similarities in their operating principles, torque production, induction principle, and speed control. Both motors rely on a rotating magnetic field and electromagnetic induction to produce torque and drive the load.