A diverging lens will produce:

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Always a virtual image

Always real image

. Sometimes real and sometimes virtual

None of these

answer is A.

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Detailed Solution

Concept- Review the fundamentals of how images are created by various lenses. Check what a diverging lens is and remember all the types of images formed by the divergent lens when the object is placed at different positions with respect to the pole, centre of curvature and focus of the divergent lens.
A diverging lens is one that consistently diverges light rays that strike it parallel to the main axis. When light rays from an object strike a diverging lens in a path parallel to the primary axis, these rays diverge from the lens's axis away from the lens so that their extended rays collide at the lens' focus.
These beams of light that are diverging from the object never collide. Therefore, a true picture cannot be formed by the diverging lens. At the diverging lens's focus, a virtual picture of the subject is created. Consequently, a virtual picture will always be created by the diverging lens.
Therefore, choice A is the right one.
Informational note: For an object positioned at infinity in front of a divergent lens, a decreased virtual picture is created at the focus. A virtual picture is created between the focus and pole of the lens for an item placed at a limited distance from the divergent lens, which is likewise decreased. The picture created by the diverging lens is real if the object is virtual.
Hence, the correct option is 1.

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