Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 33: Problem 17

Will the magnification produced by a simple magnifier increase, decrease, or stay the same when the object and the lens are both moved from air into water?

Short Answer

Expert verified
Answer: The magnification produced by a simple magnifier will decrease when the object and lens are both moved from air to water.

Step by step solution

01

Know the lens formula for air and water

The lens formula relates the focal length (f), object distance (u), and image distance (v) in a medium. The lens formula is given by: (1/f) = (n-1)((1/R1) - (1/R2)), where n is the refractive index of the lens with respect to the medium, R1 is the radius of curvature of the first surface, and R2 is the radius of curvature of the second surface. Since we are comparing the magnification when the lens and object are in air and water, we need to consider the lens formula in both media. In air, the refractive index is 1 while in water, it is greater than 1. We will use the refractive index (n) of the lens and water to find the new focal length in water.
02

Calculate the new focal length in water

To find the new focal length in water, we need to use the new refractive index (na = refractive index of lens in air, nw = refractive index of lens in water). The lens formula in water becomes: 1/fw = (na/nw - 1)((1/R1) - (1/R2)). Note that when the medium was air, the lens formula was: 1/fa = (na - 1)((1/R1) - (1/R2)). Divide the first equation by the second equation to get: fw/fa = (na - 1)/(na/nw - 1). Since na > 1 and nw > 1, fw > fa. The focal length in water is greater than the focal length in air.
03

Compare magnifications in air and water

We know that the magnification formula is M = (1 + D/f). Since the focal length in water (fw) is greater than the focal length in air (fa), the magnification in water will be less than the magnification in air. M_water = (1 + D/fw) < (1 + D/fa) = M_air. Therefore, when the object and lens are both moved from air to water, the magnification produced by a simple magnifier will decrease.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

An object is moved from a distance of \(30 \mathrm{~cm}\) to a distance of \(10 \mathrm{~cm}\) in front of a converging lens of focal length \(20 \mathrm{~cm}\). What happens to the image? a) Image goes from real and upright to real and inverted. b) Image goes from virtual and upright to real and inverted. c) Image goes from virtual and inverted to real and upright. d) Image goes from real and inverted to virtual and upright. e) None of the above.

You are experimenting with a magnifying glass (consisting of a single converging lens) at a table. You discover that by holding the magnifying glass \(92.0 \mathrm{~mm}\) above your desk, you can form a real image of a light that is directly overhead. If the distance between the light and the table is \(2.35 \mathrm{~m},\) what is the focal length of the lens?

A beam of parallel light, \(1.00 \mathrm{~mm}\) in diameter passes through a lens with a focal length of \(10.0 \mathrm{~cm}\). Another lens, this one of focal length \(20.0 \mathrm{~cm},\) is located behind the first lens so that the light traveling out from it is again parallel. a) What is the distance between the two lenses? b) How wide is the outgoing beam? 33.41 How large does a \(5.0-\mathrm{mm}\) insect appear when viewed with a system of two identical lenses of focal length \(5.0 \mathrm{~cm}\) separated by a distance \(12 \mathrm{~cm}\) if the insect is \(10.0 \mathrm{~cm}\) from the first lens? Is the image real or virtual? Inverted or upright?

Astronomers sometimes place filters in the path of light as it passes through their telescopes and optical equipment. The filters allow only a single color to pass through. What are the advantages of this? What are the disadvantages?

An instructor wants to use a lens to project a real image of a light bulb onto a screen \(1.71 \mathrm{~m}\) from the bulb. In order to get the image to be twice as large as the bulb, what focal length lens will be needed?
See all solutions

Recommended explanations on Physics Textbooks

Magnetism and Electromagnetic Induction

Read Explanation

Fluids

Read Explanation

Oscillations

Read Explanation

Waves Physics

Read Explanation

Electricity

Read Explanation

Electromagnetism

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free