Pietersen was given out after attempting to sweep off spinner Harbhajan Singh on Sunday. Television replays appeared to show the ball went off his forearm before being caught.
The batsman walked away shaking his head, indicating to his forearm and muttering to himself.
Pietersen pleaded guilty at a hearing with match referee Ranjan Madugalle after the match ended on Monday. India won the second Test by nine wickets.
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The penalty for level one offences range from an official reprimand to a maximum fine of 50 percent of the player's match fee.
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