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Chapter 26: Q12PE (page 956)

A student’s eyes, while reading the blackboard, have a power of 51.0 D. How far is the board from his eyes?

Short Answer

Expert verified

The board is 1 m far from the student's eyes.

Step by step solution

01

Definition of dioptre lens

The unit of measurement for the optical power of a lens or curved mirror is the dioptre of power of a lens, which is equal to the reciprocal of focal length.

02

Given information and Formula to be used

The power of a student’s eye is P = 51.0 D

The lens-to-retina distance is, \({{\rm{d}}_{\rm{i}}} = {\rm{2}}{\rm{.00 cm}}\left( {\frac{{1\;{\rm{m}}}}{{100\;{\rm{cm}}}}} \right) = {\rm{0}}{\rm{.02 m}}\).

03

How far is the board from his eyes?

The power of the eyes of a normal person can be calculated using the formula,

P=1d∘+1di51.0D=10.02m+1d∘51.0D=51.0D+1d∘1d∘=1.0D

This result in the value of

1d∘=1.0D1m-11Dd∘=1m

Therefore, the board is 1 m from the student's eyes.

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Most popular questions from this chapter

Consider a telescope of the type used by Galileo, having a convex objective and a concave eyepiece as illustrated in Figure 26.23(a). Construct a problem in which you calculate the location and size of the image produced. Among the things to be considered are the focal lengths of the lenses and their relative placements as well as the size and location of the object. Verify that the angular magnification is greater than one. That is, the angle subtended at the eye by the image is greater than the angle subtended by the object.

The contact lens prescription for a mildly farsighted person is 0.750 D, and the person has a near point of 29.0 cm. What is the power of the tear layer between the cornea and the lens if the correction is ideal, taking the tear layer into account?

Geometric optics describes the interaction of light with macroscopic objects. Why, then, is it correct to use geometric optics to analyse a microscope’s image?

Unless otherwise stated, the lens-to-retina distance is 2.00 cm.

(a) The print in many books averages 3.50 mmin height. How high is the image of the print on the retina when the book is held 30.0 cmfrom the eye?

(b) Compare the size of the print to the sizes of rods and cones in the fovea and discuss the possible details observable in the letters. (The eye-brain system can perform better because of interconnections and higher order image processing.)

A microscope with an overall magnification of 800 has an objective that magnifies by 200.

(a) What is the magnification of the eyepiece?

(b) If there are two other objectives that can be used, having magnifications of 100 and 400, what other total magnifications are possible?
See all solutions

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