The L.P. cutout or Low Pressure cutout is a safety control used in refrigeration and air conditioning systems.
It is designed to stop the compressor when the suction pressure drops below a safe limit.
This prevents the evaporator coil from freezing and protects the compressor from running without sufficient refrigerant.
The L.P. cutout automatically opens the electrical circuit if the suction line pressure gets too low.
An overload protector is used for electrical overcurrent protection, not suction pressure.
A relay is a general switching device.
The H.P. cutout works for high discharge pressure — opposite of L.P. cutout.
Therefore, L.P. cutout is the correct answer here.