Explanation:

- Battle of Haldighati: Fought in 1576, this battle was between Maharana Pratap of Mewar and the Mughal army led by Man Singh I. Thus, the Mughals were involved.

- Battle of Buxar: Occurred in 1764 between the British East India Company and the combined forces of the Mughal Empire, Nawab of Bengal, and Nawab of Awadh. The Mughals were involved here as well.

- Second Battle of Panipat: Took place in 1556 between the Mughal forces under Akbar and Hemu. The Mughal army played a crucial role in this battle.

- Battle of Aliwal: This 1846 battle was part of the Anglo-Sikh wars and involved British and Sikh forces. The Mughal army was not involved.

Your chosen answer: Option 4 - Battle of Aliwal