On this question for v, it asked if it is a real or virtual image? How do i prove that? (8) A thin lens is made from material having an index of refraction of 1.65. The front surface ofthe lens has a radius of curvature of +12.0 cm. The back surface of the lens has a radius ofcurvature of -12.0 cm.(i) What is the focal length of the lens?(ii) Is this a converging or diverging lens? Justify your answer by showing your work.(iii) If an object is placed 18.0 cm in front of this lens, determine the location of the imageformed (in cm).(iv) What is the magnification of this lens?(v) Is the image real or virtual? Justify your answer by showing your work.

Answered: (8) A thin lens is made from material…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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On this question for v, it asked if it is a real or virtual image? How do i prove that?

(8) A thin lens is made from material having an index of refraction of 1.65. The front surface of
the lens has a radius of curvature of +12.0 cm. The back surface of the lens has a radius of
curvature of -12.0 cm.
(i) What is the focal length of the lens?
(ii) Is this a converging or diverging lens? Justify your answer by showing your work.
(iii) If an object is placed 18.0 cm in front of this lens, determine the location of the image
formed (in cm).
(iv) What is the magnification of this lens?
(v) Is the image real or virtual? Justify your answer by showing your work.

Expert Solution

Step 1

The focal length of the lens is calculated with lens makers formula .By substituting the radii of curvature in lens makers formula we get the focal length as

$\frac{1}{f} = (n - 1) \frac{2}{R} = (0.65) \frac{2}{12} f = 9 cm$

Given the object distance is u =18 cm

The lens equation is

$\frac{1}{f} = \frac{1}{u} + \frac{1}{v} where v is the image distance$

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