Sent into bat, the openers feasted on a placid Kotla track as the two rattled a 205-run first wicket partnership to put Delhi in a commanding position.
Tamil Nadu used as many as seven bowlers to get a breakthrough but luck eluded them till the 57th over when off-spinner R Aushik Srinivas disturbed the timbers of Dhawan (104).
Dhawan departed five minutes before the tea break. His 175-ball knock was laced with 18 fours.
Soon after, Unmukt came up with his fluent hundred when he drove Yo Mahesh through mid-wicket. His unbeaten 228-ball knock was studded with 16 fours and two sixes off Aushik over long-off.
The clash, which was dubbed as a battle of equals with both teams sitting pretty on eight points from their respective three matches, turned out to be a one-sided affair, at least on the first day, as Dhawan and Unmukt pummelled the visitors' bowling attack with their resolve and determination.
The pace duo of Laxmipathy Balaji and Jagannathan Kaushik failed to create any impact in the morning session as Dhawan and Unmukt went about their business in style.
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Right-arm pacer Yo Mahesh came up with few beauties early on but went wicketless from his 14 overs.
The spin quartret of M Rangarajan, Aushik, R Prasanna and Baba Aparajith also failed to create any impact as Dhawan and Unmukt showed immense technique and skill to tighten the noose around the neck of the hapless visitors.
After the dismissal of Dhawan, Mohit Sharma (40, 77 balls, 7 fours) combined well with Unmukt and stitched an 82-run unconquered partnership for the second wicket. MORE