yeah...and don't forget these...lol..it seems you need swallow back something more .
these funny baseless statements are not rare on DFI.
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oooooh....it seems another GREAT theory was invented...
here's another one, C-705 AShM
320Kg, 140-170km range (Ship launch/Air launch) also powered by Turbojet.
1 Km for around 2 Kgs?..... is it? ...LOL... and so what?
if it was enlarged to around 1500 kg class, with the same equation, it coule cover 750km then.
If Nirbhay travels just 650km with 1.5 ton weight, yes it can be turbojet. But, if the range is 1000km+ with 1.2 ton missile and 300kg, it is impossible to be turbojet.
Your C705 has 320kg missile +120kg warhead for 140km range. But as weight of missile increases, the range per kg will decrease. A 1.2 ton C705 (with 300kg warhead, total of 1.5ton) can't travel 700km.
Tomahawk is an excellent example of turbofan engine weighing 1.8 ton with 450kg payload and range of 2500km.
Turbojet engine uses air to only burn fuel and then the exhaust is what propels the missile/plane. Turbofan is where fuel is burnt to rotate a fan like helicopter that pushes the air behind with high speed. Here, the majority of thrust comes from the air being pushed back than from exhaust. One if the best cases if both working together is jet engine - in normal mode, it is turbofan but in afterburner, it becomes like turbojet, though not a pure turbojet.
Even the best of your example shows that the cruise missile range can't exceed 50% if its weight. When the 320kg becomes 1200kg, the initial stages if the missile will have to carry 1200kg and the weight decreases over time. By the time last 320kg is left, the distance travelled will be lesser than 1km per 2kg. Maybe 1km per 3-4 kg. So, the total range is unlikely to be higher than 500km, forget 650km, even with the same warhead of 110kg. If the warhead size is increased to 300kg as in Nirbhay, it will be even less.
That being said, if 650km was indeed the range of the missile with full fuel, it is really bad range, even with 300kg warhead. Many details like warhead weight, fuel filled etc were not mentioned. It is hence difficult to judge correctly about the ability of the missile.
However, even with this limited information with wide ranging possibilities, one can be pretty sure that it is not a turbojet engine.