Answered

the near point (the smallest distance at which an object can be seen clearly) and the far point (the largest distance at which an object can be seen clearly) are measured for six different people.



Answer :

The four individuals' lenses range in power from 0.7 D to 1.5 D to 2.0 D and 2.75 D, respectively.

What is hyperopia?

The farsighted people are those with near point greater than 25 cm. A converging lens is needed to correct farsightedness, or hyperopia, therefore, the focal length, f, is positive. The image formed is virtual and on the same side of the lens. Thus, the image distance is negative. From the lens formula, 1/f = 1/v+1/u; but v is negative.

Here,

Therefore, 1/f = 1/u - 1/v

But, power of a lens = 1/f in meters.

Therefore,  P =  1/u - 1/v

They include Avishka, Berenice, Edouard and Francisca.

For Avishka, u = 25 cm or 0.25 m, v = 0.4 m

P = 1/ 0.25 - 1/0.4 = 1.5 D

For Berenice, u = 0.25 m, v = 0.3 m

P = 1/0.25 - 1/0.30 =0.7 D

For Edouard, u = 0.25 m, v = 0.80 m

P = 1/0.25 - 1/0.80 =2.75 D

For Francesca, u = 0.25 m, v = 0.50 m

P = 1/0.25 - 1/0.5 = 2.0 D

The order of power of lens of 4 people is from smaller to greater is 0.7 D<1.5 D<2.0 D<2.75 D.

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