Question

A real image is formed by a particular lens. The separation between the object and the...

A real image is formed by a particular lens. The separation between the object and the image is 36 cm, measured along the principal axis. The image is just half the size of the object.

  1. What kind of the lens must be used to produce this image?
  2. How far the object is placed from the lens?
  3. What is the focal length?
  4. Use the graphical method to illustrate the principle of the image formation.

Homework Answers

Answer #1

ANSWER: a. Since it is given that the image is real, therefore the lens must be a converging one, i.e. Convex Lens b. Since it is given that the image is smaller, therefore the distance of the object from the lens must be greater than 2 x focal length of the lens. Let us calculate it's value: u = distance of the object from the lens v = distance of the image from the lens m = magnification of the image Using the relation: m=; Given that image size is half of object, i.e. m Also given that u + = 36 3u = 72 u = 24 cm (Thus, v = 36 - 24 = 12 cm) C. Now the focal length must me less than 24/2. Let us calculate it's value: f = focal length of the lens Using the relation: - 1 1 1 + i 24 x 12 = f = 8 cm

Convex Lens 36cm

ANSWER: a. Since it is given that the image is real, therefore the lens must be a converging one, i.e. Convex Lens b. Since it is given that the image is smaller, therefore the distance of the object from the lens must be greater than 2 x focal length of the lens. Let us calculate it's value: u = distance of the object from the lens v = distance of the image from the lens m = magnification of the image Using the relation: m= Given that image size is half of object, i.e. m = Also given that u + v u+ = 36 3u = 72 u = 24 cm (Thus, v = 36 - 24 = 12 cm) C. Now the focal length must me less than 24/2. Let us calculate it's value: f = focal length of the lens Using the relation: 24 x 127 f = 8 cm

Convex Lens 36cm

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
a real inverted image I of an object O is formed by a certain lens (not...
a real inverted image I of an object O is formed by a certain lens (not shown); the object-image separation is d = 31.4 cm, measured along the central axis of the lens. The image is just half the size of the object.​ How far from the object must the lens be placed?​ What is the focal length of the lens?​
An object is placed to the left of a lens, and a real image is formed...
An object is placed to the left of a lens, and a real image is formed to the right of the lens. The image is inverted relative to the object and is one-half the size of the object. The distance between the object and the image is 75.3 cm. how far from the lens is the object? what is the focal length of the lens?
An object is placed to the left of a lens, and a real image is formed...
An object is placed to the left of a lens, and a real image is formed to the right of the lens. The image is inverted relative to the object and is one-half the size of the object. The distance between the object and the image is 117 cm. (a) How far from the lens is the object? (b) What is the focal length of the lens?
An object is placed to the left of a lens, and a real image is formed...
An object is placed to the left of a lens, and a real image is formed to the right of the lens. The image is inverted relative to the object and is one-half the size of the object. The distance between the object and the image is 66 cm. (a) How far from the lens is the object? (b) What is the focal length of the lens?
Because a concave lens cannot form a real image of a real object, it is difficult...
Because a concave lens cannot form a real image of a real object, it is difficult to measure its focal length precisely. One method uses a second, convex, lens to produce a virtual object for the concave lens. Under the proper conditions, the concave lens will form a real image of the virtual object! A student conducting a laboratory project on concave lenses makes the following observations: When a lamp is placed 42.7 cm to the left of a particular...
The distance between an object and its image formed by a diverging lens is 47.7 cm....
The distance between an object and its image formed by a diverging lens is 47.7 cm. The focal length of the lens is -237.3 cm. (a) Find the image distance. cm (b) Find the object distance. cm
An object is placed in front of a converging lens (convex lens) with a radius of...
An object is placed in front of a converging lens (convex lens) with a radius of curvature of 4.88 cm and focal length of 2.44 cm. An image is formed the object. (a) Calculate how far is the lens from the object if the image is real. (b) How far is image from the lens? (c) is the image upright or inverted, and is the image magnified or diminished? (d) Draw the ray diagram to confirm your result prediction.
The distance between an object and its image formed by a diverging lens is 49.3 cm....
The distance between an object and its image formed by a diverging lens is 49.3 cm. The focal length of the lens is -209.7 cm. a.) Find the image distance b.) Find the object diastance
How far apart are an object and an image formed by a 89-cmcm-focal-length converging lens if...
How far apart are an object and an image formed by a 89-cmcm-focal-length converging lens if the image is 2.75×2.75× larger than the object and is real?
        A) A real object is placed 8 cm in front of a convex lens with...
        A) A real object is placed 8 cm in front of a convex lens with a focal length of 12 cm. (a) Find the image distance. (b) What is the magnification of the image? (c) Describe the characters of the image.         B)   A real object is 6 cm in front of a concave lens whose focal length is -10 cm. (a) Find the image distance. (b) What is the magnification of the image? (c) Describe the characters of...