Question 5

A person needs a lens of power –5.5 dioptres for correcting his distant vision. For correcting his near vision he needs a lens of power +1.5 dioptre. What is the focal length of the lens required for correcting (i) distant vision, and (ii) near vision?

Answer

Power of the lens is given (P) for distant vision = -5.5 D

Power of the lens (P2) is given for near vision = + 1.5 D

1. Focal length of the lens required for correcting lens of distant vision

Formula used, P = 1/ f where, P is the power of the lens 

And, f is the focal length

To correct f

f = 1/ P

f = 1/ -5.5

f = - 0.1818 m.

2. Focal length of the lens required for correcting lens of near vision

Formula used, P = 1/ f where, P is the power of the lens 

And, f is the focal length

To correct f

f = 1/ P

f = 1/ 1.5

f = - 0.667 m.

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