Am having Nikon D5200 which i had owned for the last 2 months
Recently i began to face a problem in the builtin flash noting that its poping-out with no problem "either manually or via auto mode" however its not firing properly as its firing one time for each 7 to 9 pictures taken.
Proper operation is that the internal flash pops open automatically (when it thinks flash is needed) only if in Auto or most of the Scene modes.
If camera is in modes A, S, P, M, then it will not pop open automatically. In those modes, you open it yourself when you want the flash to be used, and leave it closed when you don't.
I am not sure what your description said, it leaves a few assumptions to guess at.
This 5 to 7 pictures.... is that in continuous shutter mode, one press and it does several pictures while you hold it?
The internal flash will only fire at the first one in that mode.
If you mean separate and independent shutter presses on single frame mode, then that's something else.
Does that imply that you are raising the flash door manually in camera Auto mode?
You SHOULD NOT open the flash door manually in Auto mode.
The camera manuals word it that way (page 34, D5200).
Speaking of Auto and Scene modes, page 34 says:
If the flash does not pop up automatically, DO NOT attempt to raise it
by hand. Failure to observe this precaution could damage the flash.
However, for A, S, P, M modes, door does not open automatically, and manual says open the door when you want it to be used (same page).
Nikon rarely says what they actually mean (does not want to confuse us with extra words), and my guess about "damage" is that they may be referring to heat and duty cycle and Ready status, etc.
and when its firing the picture will came out too bright or it will be like there was no flash at all
i had updated the camera with the latest firmware and reset everything to factory defaults.
I tried all modes and the same is happening
Below is an example of a picture in my room which is too bright
Am planning to take it to agent for inspection but i dont want them to fool me
Your Exif says 10/150 second shutter here, which means 1/15 second. So you must be in Slow Sync or Rear Curtain mode? Those are special.
This is shown on page 35 of D5200 User Manual.
Normally, when flash is used in a more dim area (where flash is needed), there is an automatic Minimum Shutter Speed With Flash observed, normally 1/60 second (Minimum shutter with flash - because flash is being used instead). Not applicable to camera S or M modes. But Slow Sync ignores that Minimum (and Rear Curtain includes Slow sync), meaning, it uses the slow shutter speed that the dim ambient actually meters (without flash). That means you get a proper ambient exposure, and you get a proper flash exposure, which is 2 proper exposures, and 2x too much, which is one stop overexposed.
Your picture looks like greatly more than that, so there must be something else wrong too.