Lens Type for Diminished Erect Image – Rankers Physics

Lens Makers Formula/ Len's Formula: Practice Problem & Solution

Assertion (A): A real object is placed on the optic axis of a lens such that magnification of the image is (+0.5). The lens must then be a divergent lens. Reason (R): A concave lens always produces a virtual image of a real object.  
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution Explained:

To solve this problem, we apply the core principles of Lens Makers Formula/ Len's Formula. Understanding the underlying formula is key to arriving at the correct answer below:

Assertion (A) is true. (m = +0.5) indicates an erect and diminished image. For a real object, only a divergent (concave) lens produces such an image.
Reason (R) is true. A concave lens always forms a virtual, erect, and diminished image for a real object.
(R) correctly explains (A) because a concave lens's image characteristics match the given magnification.

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Similar Practice Questions

Explore conceptually related problems to test your knowledge.

1. Assertion (A): Rear view mirror of a vehicle is a convex mirror. Reason (R): It never makes real image of real objects.  
2. A convex lens made up of a material of refractive index μ1 is immersed in a medium of refractive index μ2 as shown in the figure. The relation between μ1 and μ2 is :
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