The ball went sharply to slip cordon where Virat Kohli took a stunner to dismiss Cook.
England were 15/2 in 7.1 overs when Ishant Sharma dismissed Joe Root LBW as the English skipper made four runs.
India are already 1-2 down in the five match series despite Trent Bridge classic last week and are ergo in a bid to level the series to take the decider to Oval. India right on top now.
Watch highlights in the video above, including a beauty from Jasprit Bumrah to bamboozle the out-of-form Keaton Jennings for a duck and Curran's second half-century of the series.
Over the past 15 years England have played only seven home five-Test series but six of them, including this magnificently enthralling, topsy-turvy delight, have been vibrant and alive, with all three results possible after three Tests bar the 2013 Ashes which was delightful in myriad other ways, majority because Alastair Cook's side were beating (and infuriating) Australia. Under him, India have won 22 out of 38 Tests so far.
Kohli, on Wednesday, had hinted he could field an unchanged playing XI. Some fine India bowling coupled with woeful England batting left the hosts 86-6 after they won the toss.
England's gamble to include Jonny Bairstow as a specialist batsman even though the regular wicketkeeper is nursing a fractured finger on his left hand also backfired.
England´s Adil Rashid, Stuart Broad, Moeen Ali, James Anderson, Jonny Bairstow, Ben Stokes and Ollie Pope pose during nets, August 29, 2018. Their bowling attack is ideal for England so if, as they did at Trent Bridge, Virat Kohli's fellow top-order players can support their captain with pluck, good judgment and placement, they should take the series to the Oval, all-square. This comes as a surprise since he has never gone with the same Test team twice since taking over the captaincy reigns.