If you are going under TR (Transfer to residence)the following items are allowed duty free :
1. Video Cassette Recorder/Video Cassette Player/Video Television Receiver/Video Cassette Disk Player.
2. Washing Machine.
3. Electrical or Liquefied Petroleum Gas Cooking Range.
4. Personal Computer (Desktop Computer).
5. Notebook Computer (Laptop Computer).
6. Domestic Refrigerators of capacity up to 300 litres or its equivalent.

The following items command a 15.3% duty provided the total cumulative amount doesn't exceed rupees 5 lakhs

1. Colour Television (cheaper in Qatar including LCD TV)
2. Digital Video Disc Player
3. Home Theatre System - cheaper in Qatar
4. Dish Washer - cheaper in Qatar
5. Music System - cheaper in Qatar
6. Air-Conditioner.
7. Domestic refrigerators of capacity above 300 litres or its equivalent.
8. Deep Freezer.
9. Microwave Oven.
10. Video camera or the combination of any such video camera with one or more of the following goods, namely:-
(a) Television Receiver;
(b) Sound recording or reproducing apparatus;
(c) Video reproducing apparatus.
11. Word Processing Machine.
11. Fax Machine.
12. Gold or Silver , in any form , other than ornaments.

For all the above items you need to be eligible for TR. Lot of government sites which states the rules and regulations of coming under TR.