Final answer:
Sakari Oramo is the chief conductor of the BBC Symphony Orchestra, part of the British Broadcasting Corporation (BBC).
Step-by-step explanation:
Sakari Oramo is the chief conductor of the BBC Symphony Orchestra, which is part of the British Broadcasting Corporation, better known as BBC. This organization is responsible for a broad range of radio and television programming in the United Kingdom. Hence, the correct answer to which British radio & TV organization's orchestra he is chief of is a) BBC.