Spectacles with convex lenses correct long-sightedness by

Step 1: Analyze the question The question asks how convex lenses correct long-sightedness (hypermetropia).

Step 2: Explain the concept

• In a long-sighted eye, the eyeball is too short or the lens is too weak. Light from nearby objects would focus behind the retina, so close objects look blurry.
• To fix this, the light must be bent inwards (made to converge) a little more so it focuses on the retina.
• A convex lens is a converging lens, so it does exactly this.

Step 3: Solution

1. Light from a near object is diverging as it approaches the eye.
2. The convex spectacle lens makes these rays converge slightly before they enter the eye.
3. The eye's own lens then brings them to focus exactly on the retina, so the image is sharp.

Step 4: Check the options

• A. Converging the light rays before they enter the eye. ✔ This is correct.
• B. Diverging the rays. ✘ This is what a concave lens does, used for short-sightedness (myopia).
• C and D. Changing light intensity has nothing to do with focusing. ✘

Tip: Remember "Convex Corrects long-sight by Converging", and concave lenses are for short-sightedness (myopia). Also, long-sighted = far is clear, near is blurry.