Question

Where is the image formed if an object is placed \(25 \mathrm{~cm}\) from the eye of a nearsighted person. What kind of a corrective lens should the person wear? a) Behind the retina. Converging lenses. b) Behind the retina. Diverging lenses. c) In front of the retina. Converging lenses. d) In front of the retina. Diverging lenses.

Short answer

Short Answer: The image is formed in front of the retina and the person should wear diverging lenses to correct their vision.

Step-by-step solution

Understand the characteristics of a nearsighted eye

A nearsighted person has difficulty seeing objects that are far away but can see nearby objects clearly. This happens because the light coming from distant objects converges in front of the retina, causing a blurry image. The retina is the light-sensitive layer at the back of the eye that processes the light entering the eye.

Analyze the given information

The object is placed 25 cm away from the eye, and we need to determine where the image forms in a nearsighted person's eye.

Determine the location of the image formed

Since a nearsighted person has trouble seeing distant objects, the light from the object placed 25 cm away from the eye will converge in front of the retina. Therefore, the image is formed in front of the retina.

Determine the type of corrective lens needed

To correct nearsightedness, the corrective lens should cause the light to converge on the retina instead of in front of it. Diverging lenses can accomplish this by spreading the light out slightly, allowing it to converge at the correct position on the retina. Therefore, the nearsighted person should wear diverging lenses.

Choose the correct option

Based on our analysis, the image is formed in front of the retina, and the person should wear diverging lenses to correct their vision. Thus the correct option is: d) In front of the retina. Diverging lenses.