An object is placed at a distance of $10 \mathrm{cm}$ from a convex mirror of focal length $15 \mathrm{cm}$. Find the position and nature of the image.

A convex lens forms a real and inverted image of a needle at a distance of $50 \mathrm{cm}$ from the lens. Where is the needle placed in front of the convex lens, so that this image is of the same size as the object?

For an object kept within the focus of a convex lens.

The image is _____ (real/ virtual) in nature.

For an object kept within the focus of a convex lens.

The image size keeps on progressively _____ as the object is moved progressively away from the focus of the lens.

For an object kept within the focus of a convex lens.

For all object distances less than the focal length, the image is _____ (bigger/smaller) with respect to the object.

For an object kept in front of a concave lens.

The image is always _____ (real/ virtual) in nature.