Did you try any of the other lenses in a local camera store yet? No?
Don't need to - I have enough lenses right here
Why not?
Anyway. I went through the trouble of posting an example where you can see how the focal length changes from infinity to minimum focus distance with my internal focussing 70-200 f4 L and the internal focussing 18-50 f2.8 from Sigma on Rapidshare, as I do not want to join any photo community sites and you have not given me anywhere to upload it for you.
In the example you can see the test subject being quite a bit bigger at close focus with the IF-ing 70-200 f4, and a bit smaller with the Sigma.
http://rapidshare.com/files/317004921/focallengthchange.jpg.html
That picture concurs with my own experience with some lenses I posted below.
However, this is
not proof that the focal length gets longer with decreasing subject distance for the 70-200 - neither for the f/4 Canon nor for the f/2.8 Nikkor.
Focal length can only be measured when subject is in focus. And even the web site with the calculator that you so kindly provided returns a 180mm focal length for the 70-200 VR when the
correct object distance is used.
Can you explain how the field of view has nothing to do with focal length? Because the field of view clearly changes. And field of view is what focal length defines...
In my image, the back ground of the close focused photo is less wide, AND the in focus subject is noticeably bigger.
In my image, the back ground of the infinity focussed photo is wider, AND the out of focus subject is noticeably smaller.
Only one conclusion can be drawn: the focal length increases/field of view decreases when focussing closer.
Fine. Let's assume for a moment that what you are saying is correct and the Nikon 70-200 VR I gains focal length with decreasing subject distance.
It follows that the maximum focal length of that lens must be 180mm - according to that calculator that you insisted on using for the last 2 days, after correcting your false input for object distance (see my post above: "Indeed").
Now we also know that manufacturers are required to state the focal length of a lens at infinity, and within a certain tolerance (I believe it was 5%). Since the 70-200 VR must have less than 180mm focal length at infinity if your hypothesis is true, it must be concluded that Nikon grossly misstated the focal length of that lens!
That's a contradiction - the 70-200 VR must be at least 190mm at infinity if Nikon is following the rules.
So, what's up with that?