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

Actually there were 2 songs that the sitar was prominently featured por 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, amor you too

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

First of all you spelled sitar wrong.

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

Norwegian Wood.