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Depending on what your motherboard can handle, all the RAM (regardless of clockspeed) will clock to the same speed.
Yes, as long as the motherboard is not picky about the RAM, it should work fine, but the motherboard will throttle the RAM to PC2100 speed if that is the fastest it supports.
Your CPU's clock sped can be adjusted from the BIOS, but it is not recommended to do so because it can cause permanent damage to the CPU, RAM or the motherboard due to various reasons like overheating, unsupported clock speed etc.
The fastest one supported by your motherboard is usually best. Please refer you your motherboard manual.
If you have a mix of RAM devices with different speed capabilities on a motherboard, the memory bus will work on speed of the slowest memory. Then it does not matter which slot you put which memory. - Neeraj Sharma
The processor RAM Cach clock speed ranges between 3.3 to 4.00 GHz.
clock speed
Your motherboard might be able to 'clock back' the DDR400 to DDR333. This means that the DDR400 ram will reduce it's clock speed to DDR333 to be compatible. Not all motherboards support this though.
Isn't ProMos a RAM vendor? If this is the case, I believe ProMos shipped their 1GB part at PC-DDR2 5200, or 667MHz for the clock frequency of the RAM itself. The processing unit built into the ram probably doesn't have a discernible clock speed, or it is synced with the RAM's clock speed.
The processor size or speed does not determine how much RAM your system needs. Generally speaking, the newer the system, the more RAM you can add. The amount of RAM slots on a motherboard and the motherboard's own subsystem (the BIOS) will determine how much RAM you can add to a particular motherboard.
The compatible RAM speed can go up to 3300MHz. This is with the asus Z97 deluxe.
Your motherboard will only run at the slowest speed of RAM you have installed, so installing faster RAM will have no effect speed-wise.