Question

In order for a film camera with a fixed focal length F to focus on anobject...

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?

Homework Answers

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.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In order for a film camera with a fixed focal length F to focus on anobject...
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...
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 and the sensor plane is 142 mmmm . 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 be photographed is 1.1 mm away? 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 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...
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 focusing. (b) minimum   cm (c) maximum   cm
An f/2.95 CCD camera has a 109 mm focal length lens and can focus on objects...
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 cm
A lens for a 35-mm camera has a focal length given by f = 40mm ....
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...
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 far is the film or the CCD image capture device from the Lenz? If the film or the CCD device is of 40 mm height with fraction of the person can you capture in your photograph?
A camera lens has a focal length of 100 mm (thin lens). The photographer first adjusts...
A camera lens has a focal length of 100 mm (thin lens). The photographer first adjusts the location of the lens to look at an object very far away (infinite distance). Then he tries to take a picture of a person 2 meters away from the lens. How is he going to adjust (move) the lens relative to its original position? What is the distance of the adjustment?
A simple camera telephoto lens consists of two lenses. The objective lens has a focal length...
A simple camera telephoto lens consists of two lenses. The objective lens has a focal length f1 = 38.8 cm . Precisely 36.0 cm behind this lens is a concave lens with a focal length f2 = -10.0 cm . The object to be photographed is 4.02 m in front of the objective lens. How far behind the concave lens should the film be placed What is the linear magnification of this lens combination?
A simple camera telephoto lens consists of two lenses. The objective lens has a focal length...
A simple camera telephoto lens consists of two lenses. The objective lens has a focal length f1 = 39.5 cm . Precisely 36.5 cm behind this lens is a concave lens with a focal length f2 = -10.0 cm . The object to be photographed is 3.96 m in front of the objective lens How far behind the concave lens should the film be placed? What is the linear magnification of this lens combination?