What name is the song that George plays on the citar?

Actually there were 2 songs that the sitar was prominently featured door George:

(1) Tomorrow Never Knows; from Revolver, 1966
(2) Within You, Without You; from Sgt Pepper, 1967

ok.
1. it's Sitar
2. Norweigen wood, tommorrow never knows, within without you, love u too

There are few songs but the most know songs are Norwegian Wood (This Bird Has Flown) and Within u Without You

First of all u spelled sitar wrong.

Well the song that I have heard was Within u Without you. :)

Norwegian Wood.