If two wave of different amplitudes superpose at a point, would each

[brainyman89]

if two wave of different amplitudes superpose at a point, would each wave leave this point with the same amplitude before superposition, or will they leave the point of superposition with equal amplitudes?

 

[jeppetrost]

The beauty of superposition is that after the two waves have interfered, they leave 'unharmed'.
As a example where your second guess would be outrageous is if you have two waves one of which has zero amplitude (is it there, really? I don't know). After they interfered, there would be two waves. I don't think that's acceptable (and I'm not talking about any quantum effects here, guys!).

 

[brainyman89]

The beauty of superposition is that after the two waves have interfered, they leave 'unharmed'.

can yo tell me the reason why they leave unharmed

 

[jeppetrost]

Uhm, because they obey superposition :D
I don't think I have any kind of intuitive reason, or what you'd call it.
It's all in the equations really.