I. The Preamble provides the citizens the liberty of thought, expression, belief, faith, and worship:
The Preamble of the Constitution of India outlines the ideals and objectives that the nation seeks to achieve. It serves as a guiding principle for the interpretation of the Constitution. The Preamble asserts the liberty of thought, expression, belief, faith, and worship, which are fundamental rights guaranteed to the citizens.

Explanation:
The Preamble of the Indian Constitution begins with the words "We, the people of India" and declares that the people of India have given themselves this Constitution. It enshrines the values of justice, liberty, equality, and fraternity. The term "liberty" mentioned in the Preamble refers to the freedom and rights provided to the citizens.

The liberty of thought, expression, belief, faith, and worship is an integral part of the fundamental rights guaranteed by the Constitution. These rights are enshrined in Articles 19 and 25-28 of the Constitution. Article 19 guarantees the right to freedom of speech and expression, which includes the freedom of thought and belief. It also includes the freedom to profess, practice, and propagate religion.

The Preamble, being a part of the Constitution, reflects the intention of the framers to provide these liberties to the citizens. It serves as a guiding principle for the interpretation of the Constitution and ensures that the citizens' rights to thought, expression, belief, faith, and worship are protected.

II. The citizens are entitled to unhindered liberty:
The statement "The citizens are entitled to unhindered liberty" is not explicitly mentioned in the Preamble. While the Preamble guarantees certain fundamental rights and freedoms to the citizens, these rights are not absolute and can be subject to reasonable restrictions imposed by the State in the interest of public order, morality, and the sovereignty and integrity of the nation.

Conclusion:
Therefore, statement I is correct as the Preamble of the Constitution of India guarantees the citizens the liberty of thought, expression, belief, faith, and worship. However, statement II is incorrect as the citizens' liberty is not unhindered and can be subject to reasonable restrictions. Hence, the correct answer is option 'A' - Only I.