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Question: At age 16, a girl requires eye glasses with lenses of 2 dioptres in order to read a book at 25 cm. A...

At age 16, a girl requires eye glasses with lenses of 2 dioptres in order to read a book at 25 cm. At the age of 32, she finds that while wearing these glasses she must hold a book 40 cm away from the eyes. What power lenses does she require at this age to read a book at 25 cm –

A

2.5 dioptres

B

3 dioptres

C

3.5 dioptres

D

4 dioptres

Answer

3.5 dioptres

Explanation

Solution

= 150\frac { 1 } { 50 } Ž v = – 200 cm

= 1200\frac { 1 } { - 200 }125\frac { 1 } { - 25 } = 7200\frac { 7 } { 200 }

P = = 3.5 dioptre