We're going to need some more information to be certain, but if the bulbs are basically the same type, you should be fine with the new bulb.
We know that 50Hz or 60Hz means the power mains frequency. I believe (but can't be certain from afar) that 20kHz means the switching frequency of the electronics inside the bulb, just above the frequency that humans can hear.
To be certain, we need the part number of the old and new bulbs. Even better, you need to make sure that the new bulb has the same part number as the old one. Even if most of the characters are the same and the shape is the same, that doesn't mean that it is interchangable.
There is a possibility that the bulb you bought is intended to work with electronics outside the bulb. In that case, it would be absolutely wrong for your fixture. But if that were so, it would not have the same part number.
By the way, I have a fluorescent fixture in my kitchen that takes two 4-pin bulbs. Those bulbs would fail every 6-9 months. I got sick of that, so found LED replacements with the same physical size and pin pattern on Amazon. These install into the same fixture BUT they required that I remove (bypass) the ballast inside the fixture. The bulbs came with instructions for how to remove the ballast. It was easy and worked the first time. These LED replacements have been working flawlessly for 5 years. I hope I never need to buy any fluorescent lamps again in my life, for anywhere.