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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

(a) Where does an object need to be placed relative to a microscope for its 0.500 cmfocal length objective to produce a magnification of -400? (b) Where should the 5.00 cm focal length eyepiece be placed to produce a further fourfold ( 4.00 ) magnification?

(a) During laser vision correction, a brief burst of 193nm ultraviolet light is projected onto the cornea of the patient. It makes a spot 1.00mm in diameter and deposits 0.500mJ of energy. Calculate the depth of the layer ablated, assuming the corneal tissue has the same properties as water and is initially at 34.00C. The tissue’s temperature is increased to 1000Cand evaporated without further temperature increase. (b) Does your answer imply that the shape of the cornea can be finely controlled?

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

Suppose a certain person’s visual acuity is such that he can see objects clearly that form an image4.00μmhigh on his retina. What is the maximum distance at which he can read the 75.0 cmhigh letters on the side of an airplane?

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?

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.
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