Smith, who on Monday was named as the ICC Test Player of the Decade, is currently having his worst career slump, recording scores of 1, 1*, 0, and 8 in the series against India.
The Aussies are ahead of India by just two runs and have four wickets in hand. India are yet to bat in the second innings.
Brett Lee and Shane Warne questioned third umpire's decision after hotspot reveals no edge while Snicko technology suggested a sharp noise.
Rahane patiently put together a valiant century, his 12th in the format as first as a captain, against one of the best Test bowling attacks in present world cricket.
The Aussies are ahead of India by just two runs and have four wickets in hand. India are yet to bat in the second innings.
It was one of those deliveries by Bumrah which just clipped one bail before going to Rishabh Pant.
The 'Umpires Call' clause comes into play in ball-tracking technology in case of close calls, leaving the umpire's decision as binding.
Smith is presently having his worst home summer having managed scores of 1 and 1* in the Adelaide game, leaving him with an aggregate of just 10 runs in four innings.
Rahane pats Jadeja after getting run out for no fault of his own; was run out by the smallest of margin while responding to a quick single call by Jadeja.
The right-arm pace bowler, who removed Aussie opener, Joe Burns, in just his second over, limped off the field after bowling the third delivery of his fourth over of Australia's innings
This verbal duel intensifies as the session rolled on with Wade looking frustrated at times and even stopping the bowler from delivering in a bid to regain his concentration.
Rahane survived three dropped opportunities but showed ample resilience against the spin and pace attack to stitch fifty-run stands alongside Hanuma Vihari and Rishabh Pant before added a century more alongside Ravindra Jadeja on day 2.
The 33-year-old pacer limped off the field after appearing to injured his calf while bowling the team's seventh over after the lunch break on the day.
Rahane's innings ended after scoring 112 runs, adding further eight runs to his overnight score, when he got run out of a brilliant piece of fielding from Marnus Labuschagne.
India have taken a 131-run lead in the first innings after scoring 326 against Australia's 195.
Rahane walked back with 112 runs, the second-highest score by an Indian captain at the MCG and the fifth among all visiting captains.
The debutant says facing an international quality bowlers in Jasprit Bumrah, Mohammed Shami and Umesh Yadav at nets over last few overseas Test series was a huge confidence booster.
The 104, still unbeaten, will forever stand as one of Rahane's finest knocks and he will now look to build on the score, which already seems to stand as the sole difference between the two sides, when day 3 resumes on Monday
Rahane remained unbeaten on 104 in a 100-plus partnership with No.7 Ravindra Jadeja, who holds on to the crease on 40 as India put 277/5 on the board.
The legendary spinner praised the stand-in Indian skipper for eking out his second century Melbourne and in conditions that favoured the bowlers.
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