In which of these battles the involvement of the Mughal army was not there?

Battle of Aliwal

The correct answer is option 4- Battle of Aliwal

The Mughal army was not involved in the Battle of Aliwal.

The Battle of Aliwal was fought in 1846 between the British East India Company and the Sikh Khalsa army. The British won the battle and it led to the end of the First Anglo-Sikh War.

The other battles mentioned in the options were all fought between the Mughal Empire and its rivals. The Battle of Haldighati was fought in 1576 between the Mughals and the Rajputs. The Battle of Buxar was fought in 1764 between the Mughals and the British. The Second Battle of Panipat was fought in 1556 between the Mughals and the Afghans.

The Mughal Empire had declined significantly by the time of the Battle of Aliwal in 1846. It was no longer a major player in Indian politics and it did not have the resources to intervene in the First Anglo-Sikh War.