Where should an object be placed in front of a convex lens that the image willbereduced?

An object should be placed at a position beyond the focal point of a convex lens in order to produce a reduced image. Here are the steps to understand why:

1. A convex lens has a property to converge light rays passing through it. It has two focal points, one on each side.

2. When an object is placed beyond the focal point of a convex lens, the light rays from the object are converged by the lens to form a real and inverted image on the other side of the lens.

3. The position of the image depends on the object distance from the lens. If the object is placed far from the lens (beyond the focal point), the image formed is between the lens and the focal point on the other side.

4. This image is smaller in size compared to the object, i.e., it is reduced. This is because the light rays converge to a point closer to the lens, making the image smaller.

5. Therefore, to get a reduced image, the object should be placed beyond the focal point of a convex lens.

Remember, the exact position to place the object can be calculated using the lens formula 1/f = 1/v - 1/u, where f is the focal length of the lens, v is the image distance, and u is the object distance.