What is the Image Distance for a Concave Mirror with R=150cm and Do=?

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For a concave mirror with a radius of curvature of 150 cm, the focal length is calculated to be 75 cm, as it is half the radius. When light from a distant star, which can be considered as coming from infinity, hits the mirror, it arrives parallel to the principal axis. This parallel light converges at the focal point, which is 75 cm from the mirror. The discussion emphasizes the importance of understanding the relationship between object distance, image distance, and focal length in optics. The final image distance for the star is thus determined to be 75 cm.
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1. Light from a distant star is collected by a concave mirror. How far from the mirror is the image of the star if the radius of curvature is 150 cm?



2. 1/f = 1/do + 1/di



3. 1/f = 1/do + 1/di
f = 150/2 = 75 cm
di = dof/do - f
= do(75)/do- 75

I don't know what do is or if there is one. If there is one, can you tell me what it is. Thank You!
 
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The object distance is at infinity (or pretty close!) so the light arrives parallel
 


mgb_phys said:
The object distance is at infinity (or pretty close!) so the light arrives parallel

um.. what do u mean by the light is parallel? oh and i know that the answer is 75 cm but i don't know how to get it.
 


One of the rules of a concave mirror is that the focal length is half the radius of curvature.

Rules of optics
Parallel light in goes out through the focus
Light in through the focus goes out parallel

draw a sketch with the focal point, the centre of curvature an the light ray
 


oh ok thank you!
 
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