Question

In order for a film camera with a fixed focal length F to focus on anobject located a distance x from the lens, the lens must be a distance yfrom the film. F, y, and x are related as follows:

Now suppose a camera has a lens with focal length F = 65.

Explain what happens to the distance between the lens and the film as the object moves far away from the lens. When an object far away (x is near infinity), what is the internal distance from the lens and film?

Consider the opposite. Explain what happens to the distance between the lens and the film as the object moves closer and closer to the lens. Is there a distance from the lens at which you can no longer focus?

In general, why is it not possible to cross a vertical asymptote?

**What is focal length, and how does it
work?**

Answer #1

1/F = 1/x +1/y

Rearranging the aove equation :

1/y = 1/F-1/x = (x-F)/xF

1/y =(x-F)/xF

y = xF/(x-F) ; Given F= 65

y = 65x/(x-65) = 65/( 1-65/x)

**If the object moves far away from the lens
i.e. x increases 65/x decreases (1-65/x) increases, y
decreases**

**If you decrease the x distance from the lens, then y
increases.**

A vertical asymptote occurs where the function is undefined so, if the line were to cross a vertical asymptote, then for some input(s) you would have more than one value that that input maps to, thus the line wouldn't be a function anymore.

A horizontal asymptote is only concerned with end behavior; there is no requirement for the function to not have the value of the y-coordinate of a point on the asymptote.

In order for a film camera with a fixed focal length F to focus
on anobject located a distance x from the lens, the lens must be a
distance yfrom the film. F, y, and x are related as follows:
Now suppose a camera has a lens with focal length F = 65.
Explain what happens to the distance between the lens and the
film as the object moves far away from the lens. When an object far
away (x...

A 110 −mm−mm -focal-length lens is used to focus an image on the
sensor of a camera. The maximum distance allowed between the lens
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How far ahead of the sensor should the lens be if the object to
be photographed is 3.0 mm away?
How far ahead of the sensor should the lens be if the object to
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What is the closest object this lens could...

A lens for a 35-mm camera has a focal length given by f
= 71 mm.
(a) How close to the film should the lens be placed to form a
sharp image of an object that is 6.7 m away?
____mm
(b) What is the magnification of the image on the film?

An f/2.85 CCD camera has a 102 mm focal length lens and
can focus on objects from infinity to as near as 33.0 cm from the
lens. Note: "f/2.85" means "an f-number of
2.85."
(a)
Determine the camera's aperture diameter in mm.
mm
Determine the minimum and maximum distances in cm from the CCD
sensor over which the lens must be able to travel during
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(b)
minimum
cm
(c)
maximum
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An f/2.95 CCD camera has a 109 mm focal length lens and
can focus on objects from infinity to as near as 35.0 cm from the
lens. Note: "f/2.95" means "an f-number of
2.95."
HINT
(a)
Determine the camera's aperture diameter in mm.
mm
Determine the minimum and maximum distances in cm from the CCD
sensor over which the lens must be able to travel during
focusing.
(b)
minimum
cm
(c)
maximum
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A lens for a 35-mm camera has a focal length given by f
= 40mm .
Part A
How close to the film should the lens be placed to form a sharp
image of an object that is 5.7m away?
Express your answer using two significant figures.
di =
mm
Part B
What is the magnification of the image on the film?
Express your answer using two significant figures.
m =

A
camera with a 50 mm focal length lens is used to photograph a
person 1.8 m tall standing 2 m away. Draw or a diagram for the
image of the person. When you focus the person in your camera how
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A simple camera telephoto lens consists of two lenses. The
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How far behind the concave lens should the film be placed
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A simple camera telephoto lens consists of two lenses. The
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