Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q12PE

Expert-verified
College Physics (Urone)
Found in: Page 956

Answers without the blur.

Just sign up for free and you're in.

Illustration

Short Answer

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

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

See the step by step solution

Step by Step Solution

Step 1: 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.

Step 2: 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, \({{\rm{d}}_{\rm{i}}} = {\rm{2}}{\rm{.00 cm}}\left( {\frac{{1\;{\rm{m}}}}{{100\;{\rm{cm}}}}} \right) = {\rm{0}}{\rm{.02 m}}\).

Step 3: 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+1di51.0 D=10.02 m+1d51.0 D=51.0 D+1d 1d=1.0 D

This result in the value of

1d=1.0 D1 m-11 D d=1 m

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

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.