The capital of Andhra State when it was made a separate state in the year 1953 was Kurnool (Option 2). Here is the detailed reasoning and additional information to support this answer:

1. Background: In 1953, the Indian government decided to reorganize states on linguistic lines to address the demands for separate states based on language. Andhra State was created by carving out the Telugu-speaking regions from the Madras Presidency.

2. Formation of Andhra State: On October 1, 1953, Andhra State was officially formed as a separate state under the States Reorganization Act, 1956. The purpose was to establish a state for Telugu-speaking people, distinct from the Tamil-speaking regions of Madras Presidency.

3. Choice of Capital: Kurnool, located in the Rayalaseema region of Andhra State, was chosen as its capital. The decision was made based on various factors, including geographical location, administrative convenience, and political considerations.

4. Geographical Location: Kurnool is centrally located within Andhra State and is accessible from different parts of the region. It facilitated ease of administration and ensured a balanced representation of different areas within the state.

5. Historical Significance: Kurnool has a rich historical and cultural heritage. It was the capital of the former princely state of Andhra (also known as Kurnool State) during British rule. Choosing Kurnool as the capital held symbolic importance and reflected the historical legacy of the region.

6. Political Considerations: Kurnool had emerged as a significant center for the Andhra movement, which advocated for the creation of a separate state for Telugu-speaking people. The movement gained momentum in the 1950s, and choosing Kurnool as the capital was seen as a way to appease the sentiment and aspirations of the Andhra activists.

7. Relocation to Hyderabad: However, the capital of Andhra State was shifted to Hyderabad in 1956 when Andhra State was merged with Telangana to form the united Andhra Pradesh state. The shift to Hyderabad was part of the broader reorganization of states based on linguistic lines, combining Telugu-speaking regions under one administrative unit.

In summary, the capital of Andhra State when it was made a separate state in 1953 was Kurnool. However, it was later relocated to Hyderabad in 1956 when Andhra State merged with Telangana to form Andhra Pradesh.