Why light runs short
At 10,000 fps the exposure is under 100 µs; the light reaching the sensor is thousands of times less than in ordinary video.
Flicker
Lamps connected to the power line oscillate at 120 Hz and show up as pulsing; use LEDs with a DC driver or sources designed for high speed.
Laser
In welding and other processes with intense glare, pulsed laser illumination with a bandpass filter makes the arc invisible and the weld pool visible.
Heat
Powerful sources heat the sample; prefer LED and turn the light on only during capture.
Calculate
Use the Academy exposure calculator with the camera's rate, exposure and sensitivity.