/*! 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} Q138P A grasshopper hops to a point on... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 34: Q138P (page 1046)

A grasshopper hops to a point on the central axis of a spherical mirror. The absolute magnitude of the mirror鈥檚 focal length is 40.0cm, and the lateral magnification of the image produced by the mirror is +0.200. (a) Is the mirror convex or concave? (b) How far from the mirror is the grasshopper?

Short Answer

Expert verified
  1. It is a convex mirror.
  2. Object distance, p=160cm

Step by step solution

01

Determine the given quantities

The magnitude of focal length, f=40.0cm

Lateral magnification, m=+0.2

02

Determine the concepts of magnification

Using the formula for lateral magnification, we can find out the sign of image distance. If it is negative, then one can guess the sign of the focal length. Using the mirror formula, object distance can be calculated.

Formula:

Mirror鈥檚 formula1p+1i=1f

Lateral magnificationm=-ip

03

(a) Calculate the type of the lens

Consider the lateral magnification as

m=-ip=+0.2

Therefore, i=-0.2脳p, i<0,and the image is diminished in size, which implies that the spherical mirror has f=-40.0cm.

Therefore, it is a convex mirror.

04

(b) Calculate the object distance

Consider the mirror鈥檚 formula:

1p+1i=1f

Substituteiandfin the above equation and solve as:

1p-102p=-140

22p-102p=-140

2-102p=-140

p=160cm

Object distance,p=160cm

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

A small cup of green tea is positioned on the central axis of a spherical mirror. The lateral magnification of the cup is +0.250, and the distance between the mirror and its focal point is 2.00cm. (a) What is the distance between the mirror and the image it produces? (b) Is the focal length positive or negative? (c) Is the image real or virtual?

An object is placed against the center of a concave mirror and then moved along the central axis until it is 5.0 m from the mirror. During the motion, the distance |i|between the mirror and the image it produces is measured. The procedure is then repeated with a convex mirror and a plane mirror. Figure 34-28 gives the results versus object distance p. Which curve corresponds to which mirror? (Curve 1 has two segments.)

In a microscope of the type shown in Fig. 34-20, the focal length of the objective is 4.00 cm, and that of the eyepiece is 8.00 cm. The distance between the lenses is 25.00 cm. (a) What is the tube length s? (b) If image I in Fig. 34-20 is to be just inside focal point F1, how far from the objective should the object be? What then are (c) the lateral magnification m of the objective, (d) the angular magnification m胃 of the eyepiece, and (e) the overall magnification M of the microscope?

Light travels from point A to B point via reflection at point O on the surface of a mirror. Without using calculus, show that length AOB is a minimum when the angle of incidence 胃is equal to the angle of reflection 蠒.

32 through 38 37, 38 33, 35 Spherical refracting surfaces. An object Ostands on the central axis of a spherical refracting surface. For this situation, each problem in Table 34-5 refers to the index of refraction n1where the object is located, (a) the index of refraction n2on the other side of the refracting surface, (b) the object distance p, (c) the radius of curvature rof the surface, and (d) the image distance i. (All distances are in centimeters.) Fill in the missing information, including whether the image is (e) real (R)or virtual (V)and (f) on the same side of the surface as the object Oor on the opposite side.
See all solutions

Recommended explanations on Physics Textbooks

Particle Model of Matter

Read Explanation

Work Energy and Power

Read Explanation

Fundamentals of Physics

Read Explanation

Measurements

Read Explanation

Engineering Physics

Read Explanation

Electricity and Magnetism

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.