To understand the correct answer to this question, we need to analyze Article 324 of the Constitution of India and related constitutional provisions.

1. Understanding Article 324: Article 324 of the Constitution deals with the Election Commission and its powers, responsibilities, and the protection of its members. It mentions that the Chief Election Commissioner (CEC) cannot be removed from office except in a like manner and on the like grounds as a Judge of the Supreme Court of India.
2. Removal Procedure of a Supreme Court Judge:
   • The removal of a Judge of the Supreme Court is specified under Article 124(4) of the Constitution.
   • A Supreme Court Judge can only be removed by an order of the President, after an address by Parliament has been presented in the same session, for proven misbehavior or incapacity.
   • This procedure requires a special majority of the Parliament.
3. Analyzing Options:
   • a Judge of the Supreme Court: This option is actually correct as per the factual constitutional process and not 'the Speaker of the Lok Sabha' as given by the provided information.
   • a Judge of a High Court: The removal process for a High Court judge is similar to that of a Supreme Court judge and not in line with the CEC's removal process.
   • the Speaker of the Lok Sabha: The removal of the Speaker is not mentioned in the same context as judges or CEC and this option is incorrect despite being marked as correct in the provided information.
   • the Governor of a State: Governors can be removed by the President and not through the Parliamentary mechanism specified for Supreme Court Judges or the CEC.
4. Correct Conclusion: Based on Article 324, the Chief Election Commissioner is removed in a similar mechanism as a Judge of the Supreme Court. Hence, the correct option is "a Judge of the Supreme Court".