math problem help

[phishphood]

OK, so this has just been bugging me and I wanted to make sure I was correct about it.

If the diameter of the field of view of a microscope @ 40x is 400 micrometers, what is the diameter of the field of view @ 10x.

So some part of me says 1600, but I really can't backup/explain how I got it. It just sorta....goes. Yes/No? reasoning?

 

[zepplock]

Depends on how wide the view angle is. And if it's fixed or not.

 

[phishphood]

Assume cheapest microscope available out there and resulting features. It's an entry level lab class, which is why I'm kind of mad at myself for not getting this answer right off the bat.

 

[Gomer]

FoV is inversely proportional to magnification, so the 1600 makes sense.

 

[LordHelmet]

Ah glad the math nerds made it.

Good job guys.

 

[phishphood]

Thanks Tony. Now I have an actual sentence that makes sense to back up my answer.

 

[zepplock]

[quote author=Gomer link=topic=6207.msg78633#msg78633 date=1233858568]
FoV is inversely proportional to magnification, so the 1600 makes sense.
[/quote]

But is it linearly or exponentially so?

 

[sfsuphysics]

linear.