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The 42-year-old also said captain Pat Cummins 'got it wrong' tactically.
Quinton de Kock struck back-to-back tons and Aiden Markram made a half-century before the bowlers ripped through the five-time champions.
Dropped on 12 by Mitchell Marsh off Josh Hazlewood, Kohli went on to make 85 as he masterminded yet another successful chase for India.
Everything that could go wrong did so for Marsh in Australia's World Cup opener against India.
Rahul was on his haunches after the winning shot and then had a wry smile as he shook hands with the Australian players.
In terms of buildup India could not have asked for better, winning the Asia Cup last month and beating Australia 2-1 in a subsequent ODI home series.
Babar Azam's 90 went in vain as Australia won by 14 runs in Hyderabad.
It is imperative the sides to preserve their energies and peak at the correct time to stand a chance of making it to the final.
The five-time champions will take on the Netherlands in a practice match at the at the Greenfield International Stadium on Saturday.
Head is set to miss Australia's early matches after breaking his hand in South Africa but was included in place of left-arm spinner Ashton Agar.