(1) Stethoscope: A stethoscope is used to listen to sounds within the body (e.g., heartbeats). It does not use light. This option is incorrect.
(2) Centrifuge: A centrifuge is used to separate components of a liquid based on density. It is unrelated to examining internal organs. This option is incorrect.
(3) Sterilizer: A sterilizer is used to kill microorganisms on medical instruments. It does not use light to examine internal organs. This option is incorrect.
(4) Optical fibre: Optical fibres are used in endoscopes, which allow doctors to examine internal organs by transmitting light and images through the fibres. This option is correct.
Final Answer: Doctors use \( \mathbf{\text{optical fibre}} \), which corresponds to option \( \mathbf{(4)} \).