Hi Barie,
Its getting a little hairy getting all this information for
something I thought was going to be simple.
It really is pretty simple. Try not to mix up the same terms used
with other types of devices because conventions differ. This site
will help:
http://hypertextbook.com/facts/2002/MiriamJanove.shtml
Magnification: In simple terms, this really is about how much
closer the item seems compared to using the unaided eye. Example:
you'll see binoculars advertised as a 2x binocular, like in those
rather dainty opera glasses or a 7x pair of field glasses. If
there is no magnification, it's the same perspective as looking
with the unaided eye. If you look through a paper towel tube,
there is no magnification and it might be called 1x on some types
of scopes. (Where a "wide-angle" makes it seem that you are seeing
from further back even if you haven't actually moved back and it's
a fractional value like .9x)
Zoom range: This is the ratio of the short to long focal length of
a zoom lens. For example, a 30mm to 90mm is a 3x zoom (3 times).
Likewise a 50mm to 150mm zoom is 3x. So the 28 to 200 is indeed a
7.14x zoom.
Focal length: The focal length of a camera lens is the distance
between the center of the lens and the film when an in-focus image
is formed of an object very far away. There is a chart on the site
noted above that shows how different film sizes (and likewise
sensor sizes) change the angles of view/perspective of the same
focal length lens. In a practical camera sense, as sensors or film
sizes get smaller, shorter focal lengths are used to get the same
magnifications. For a 35mm camera, a 50mm (or so) lens appears to
have no magnification, a 6x7cm film size takes a 90mm lens to have
"no" magnification, etc.
What that means is that zoom range doesn't connect to magnification
without knowing what focal length is at 1x. And that varies with
the sensor or film size. Most people perceive that a 50mm or so
lens has no magnification when used with 35mm cameras. While that
may move around some, it's easy to work with. That means a 100mm
lens is 2x magnification, a 200mm lens gives 4x magnification,
etc., in terms of what most people see using a 35mm camera. So in
the case of a 28-200mm lens on a 35mm camera, you go from a wide
angle .56x to a 4x magnification. If most people picked up a pair
of 4x binoculars, the image of the subject would look to be the
same size as the image at the 200mm setting.
FWIW, This site will give you some added discussion of binoculars
and related terminology. A 7x32 binocular means a 7x binocular
with a 32mm objective lens - and it doesn't tell us the focal
length.
http://opticsplanet.com/info/how_to_buy_binoculars.shtml