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An object with a height of 2.54 cm is placed 36.3 mm to the left of a lens with a focal length of 35.0 mm.

(a) Where is the image located?

(b) What is the height of the image?

Answer :

M = -v/u. Finally, multiply the magnification by the object height to find the image height.


(a) To find the image location, we can use the lens formula: 1/f = 1/u + 1/v, where f is the focal length, u is the object distance, and v is the image distance.
(b) To find the height of the image, we can use the magnification formula: M = -v/u, where M is the magnification.

Explanation:
(a) First, let's convert the object distance to the same unit as the focal length, which is millimeters. 36.3 mm is already in the correct unit, so we can use it as is. Now we can plug the values into the lens formula:
1/35.0 = 1/36.3 + 1/v
Solve for v to find the image location.
(b) Next, find the magnification by using the formula M = -v/u. Finally, multiply the magnification by the object height to find the image height.

Summary:
(a) After solving for v, you'll find the image location.
(b) After calculating the magnification and multiplying it by the object height, you'll find the height of the image.

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