Villain 20-7 over around 50 hands. I bet flop weak to induce some action, nothing came. Thoughts on turn? bet half pot again? or a real bet?

Full Tilt No-Limit Hold'em, $0.50 BB (8 handed) Full-Tilt Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

MP2 ($83.70)
CO ($77.45)
Button ($36.25)
SB ($50)
BB ($51.95)
UTG ($51.60)
UTG+1 ($89.85)
Hero ($52.25)

Preflop: Hero is MP1 with J, J.
UTG raises to $1.5, 1 fold, Hero raises to $3.5, 5 folds, UTG calls $2.

Flop: ($7.75) 4, T, 3 (2 players)
UTG checks, Hero bets $3.5, UTG calls $3.50.

Turn: ($14.75) 8 (2 players)
UTG checks, Hero bets ?,