consider an object 2 cm tall and the object located 6 m to the left of ( -2D) spectacle lens, Calculate the position and height of the image for in case of convergence and divergence lens?

Inquiry into Physics
8th Edition
ISBN:9781337515863
Author:Ostdiek
Publisher:Ostdiek
Chapter9: Optics
Section: Chapter Questions
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consider an object 2 cm tall and the object located 6 m to the left of ( -2D) spectacle lens, Calculate the position and height of the image for in case of convergence and divergence lens?

Expert Solution
Step 1

The negative power of a lens represents that the lens is a diverging lens. Since two different cases are provided in the question so the same power is used by changing the sign for the converging lens to solve this problem.

For the converging lens:

The thin lens formula is:

Physics homework question answer, step 1, image 1

Substitute the known values and solve.

Physics homework question answer, step 1, image 2

 

Step 2

Magnification of the converging lens is:

Physics homework question answer, step 2, image 1

Substitute the known values and solve for image height.

Physics homework question answer, step 2, image 2

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