/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 36 To study a tissue sample better,... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 33: Problem 36

To study a tissue sample better, a pathologist holds a \(5.00-\mathrm{cm}\) focal length magnifying glass \(3.00 \mathrm{~cm}\) from the sample. How much magnification can he get from the lens?

Short Answer

Expert verified
Answer: The magnification provided by the magnifying glass is approximately 0.625 times.

Step by step solution

01

Write down the known values

We are given: Focal length of the magnifying glass (f) = 5.00 cm Distance between the lens and the tissue sample (u) = -3.00 cm (negative because the object is on the left side of the lens) We need to find the magnification (M).
02

Use the lens formula to find the image distance (v)

The lens formula is given by: \(\frac{1}{f} = \frac{1}{u} + \frac{1}{v}\) Plug in the given values of f and u: \(\frac{1}{5.00} = \frac{1}{-3.00} + \frac{1}{v}\) To solve for v, we can first find the common denominator and then solve for v: \(\frac{1}{5.00} + \frac{1}{3.00} = \frac{1}{v}\) \(v = \frac{1}{\frac{1}{5.00} + \frac{1}{3.00}}\)
03

Calculate the image distance (v)

Now, calculate the value of v by finding the sum of the fractions and taking the reciprocal: \(v = \frac{1}{\frac{1}{5.00} + \frac{1}{3.00}} = \frac{1}{\frac{8}{15}}\) \(v = \frac{15}{8}\) \(v \approx 1.875 \mathrm{~cm}\)
04

Use the magnification formula to find the magnification (M)

The magnification formula is given by: \(M = -\frac{v}{u}\) Plug in the values of v and u: \(M = -\frac{1.875}{-3.00}\)
05

Calculate the magnification (M)

Now, calculate the magnification (M): \(M = \frac{1.875}{3.00}\) \(M \approx 0.625\) So, the pathologist can get a magnification of approximately 0.625 times from the lens.

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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

Two identical thin convex lenses, each of focal length \(f\), are separated by a distance \(d=2.5 f\). An object is placed in front of the first lens at a distance \(d_{\mathrm{a}, 1}=2 f .\) a) Calculate the position of the final image of an object through the system of lenses. b) Calculate the total transverse magnification of the system. c) Draw the ray diagram for this system and show the final image. d) Describe the final image (real or virtual, erect or inverted, larger or smaller) in relation to the initial object.

An object is \(6.0 \mathrm{~cm}\) from a converging thin lens along the axis of the lens. If the lens has a focal length of \(9.0 \mathrm{~cm}\), determine the image magnification.

Two distant stars are separated by an angle of 35 arcseconds. If you have a refracting telescope whose objective lens focal length is \(3.5 \mathrm{~m}\), what focal length eyepiece do you need in order to observe the stars as though they were separated by 35 arcminutes?

Three converging lenses of focal length \(5.0 \mathrm{~cm}\) are arranged with a spacing of \(2.0 \cdot 10^{1} \mathrm{~cm}\) between them, and are used to image an insect \(2.0 \cdot 10^{1} \mathrm{~cm}\) away. a) Where is the image? b) Is it real or virtual? c) Is it upright or inverted?

A converging lens will be used as a magnifying glass. In order for this to work, the object must be placed at a distance a) \(d_{\mathrm{o}}>f\). c) \(d_{\mathrm{o}}
See all solutions

Recommended explanations on Physics Textbooks

Linear Momentum

Read Explanation

Fields in Physics

Read Explanation

Physical Quantities And Units

Read Explanation

Electromagnetism

Read Explanation

Measurements

Read Explanation

Circular Motion and Gravitation

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.