Question:

A convex lens of focal length $20\, cm$ is placed in front of convex mirror with principal axis coinciding each other The distance between the lens and mirror is $10\, cm$ A point object is placed on principal axis at a distance of $60 \, cm$ from the convex lens The image formed by combination coincides the object itself The focal length of the convex mirror is ________ $cm$

Updated On: Oct 14, 2024
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Correct Answer: 10

Solution and Explanation

The correct answer is 10




For final image to be formed on the object itself, after refraction from lens the ray should meet the mirror perpendicularly and the image by lens should be on the centre of curvature of mirror

Focal length of mirror
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Concepts Used:

Ray Optics and Optical Instruments

Optics, deals with the determination of behaviour and the properties of light, along with its interactions with the matter and also with the instruments that are used to detect it.

Ray optics is also known as the geometrical optics and it is a branch of science which describes light propagation.

Reflection is the change in direction of light at an interface in-between two different media so that the wave-front returns into a medium from which it was originated.

Speed of light is the rate at which the light travels in free space.

A phenomenal change in image formed when the light is passed from one medium to another which is called Refraction.

Total Internal Reflection is the reflection of light when the light ray enters into a rarer medium from a denser medium and the angle of incidence is higher than the critical angle of incidence then that light ray will be reflected back to the denser medium.

Read More: Ray Optics and Optical Instruments