The correct answer to the question is option 2, which is "Ballistic missile capable of carrying nuclear warhead." In November 2006, India conducted a successful test of a ballistic missile that had the capability to carry a nuclear warhead.

Let`s analyze the other options:

- Option 1: "Rocket launching using solid fuel" is not the correct answer because the question specifically asks about a test conducted in November 2006 by India, and this option does not mention anything about the time or country.

- Option 3: "Ballistic missile covering 5000 km distance" is not the correct answer because the question does not mention anything about the distance covered by the missile. Additionally, there is no specific mention of the missile`s capability to carry a nuclear warhead.

- Option 4: "Interceptor missile" is not the correct answer because, again, the question does not mention anything about intercepting missiles.

Therefore, the correct answer is option 2, as it aligns with the information provided in the question.