a) Numerically, what is the image distance, di in meters?  b) Is this real or virtual?  c) Numerically, what is the image height, hi?

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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A candle (ho = 0.28 m) is placed to the left of a diverging lens (f = -0.061 m). The candle is do = 0.22 m to the left of the lens.

a) Numerically, what is the image distance, di in meters? 

b) Is this real or virtual? 

c) Numerically, what is the image height, hi

Expert Solution
Step 1

a)

The image’s distance can be determined by the lens equation as,

Physics homework question answer, step 1, image 1

Here, f, di, and do represent the lens’s focal length, the image’s distance, and the object’s distance from the lens, respectively.

Substitute the relevant values.

Physics homework question answer, step 1, image 2

Here, the minus sign is from sign convention, according to which all distances measured in the light’s incident direction is positive and opposite to the light’s incident direction is negative.

The image’s distance is about 0.047 m.

b)

The image is formed on the object’s side, that is, left to the lens. Thus, the object’s image is a virtual image.

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