This is called as head-shake. If you rev the bike above 8-9k and completely leave accelerator and remove both your hands, the head (handle bar) will start shaking violently. The bike would not be unstable and would continue riding in fairly straight line but it is quite scary. In my bike's case, even the tail shakes.
I had lodged a formal complaint with Bajaj website. Their senior service people met me at local service center and this head-shake was demonstrated to them. For comparison, another bike was also used and it showed similar (but less violent) head-shake.
These senior service people told me that they had a similar problem initially with P220FI and they found out that it was because of uneven tire wear. Same is the case with N250.
I politely refused to agree to their conclusion and requested them to prove what they were saying. Now in next 8-10 days, they will be fitting (only for trial) out new tires on my bike and will demonstrate to me that the bike does not head-shake. If it is the case, then we have to agree that it is being caused by uneven tire wear.
However, all the international forums have mentioned this problem and it is said that it is due to cone-set setting. It is said to be extremely tricky to achieve perfect setting and if the setting is off even by a small bit, bike will head-shake. (disclaimer : I do not have any engineering background / knowledge so may be wrong here)





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