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Chapter 26: Q12PE (page 956)

A student鈥檚 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鈥檚 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鈭�+1di51.0D=10.02m+1d鈭�51.0D=51.0D+1d鈭�1d鈭�=1.0D

This result in the value of

1d鈭�=1.0D1m-11Dd鈭�=1m

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

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