One-half of a convex lens is covered with a black paper. Will this lens produce a complete image of the object? Verify your answer experimentally. Explain your observations.

Covering one-half of a convex lens with black paper will not produce a complete image of the object. To understand why this is the case, we can consider the principles of optics.

When light passes through a lens, it undergoes refraction, and the lens focuses the light to form an image. A convex lens, like any lens, has a certain focal point where parallel rays of light converge. This focal point is the point where the lens forms an image of distant objects. When one-half of the lens is covered with black paper, the lens can no longer refract light properly, resulting in several key effects:

1. Incomplete Refraction: The uncovered half of the lens will still refract incoming light as expected, converging it to a focal point. However, the covered half blocks the light, preventing it from passing through and being refracted. This leads to an incomplete refraction process.

2. Absence of Half the Image: The uncovered half of the lens will form an image based on the incoming light, but the covered half will not contribute to the formation of the image since it blocks the light. As a result, you will only get half of the object’s image.

3. Reduced Brightness: The presence of the black paper on one-half of the lens will also reduce the brightness of the image since only half of the incoming light is being utilized to form the image.

To experimentally verify this, you can perform the following steps:

Experiment:

1. Set up a light source on one side and place the convex lens with one-half covered by black paper in the path of the light.

2. Position a screen or a white surface on the other side of the lens, where you expect the image to be formed.

3. Observe the image that forms on the screen. You will notice that only half of the object is visible in the image, and the image is dimmer than it would be with the full lens.

Observations:

. You will see an incomplete image of the object on the screen, limited to the uncovered half of the lens.
. The covered half will block the passage of light and will not contribute to the image formation.
This experiment demonstrates that covering one-half of a convex lens with black paper results in an incomplete and dim image of the object. It is a practical illustration of how lenses work and how partial obstruction affects the formation of images.