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A Shop Security Mirror 5.0 M from Certain Items Displayed in the Shop Produces On-tenth Magnification. What is the Radius of Curvature of the Mirror? - Science

A shop security mirror 5.0 m from certain items displayed in the shop produces on-tenth magnification. 

What is the radius of curvature of the mirror? 

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Solution

 Given,
Distance of the object (u) = -5 m
Magnification (m) = `1/10`
We have to find the position of the image (v), radius of curvature (R) and the focal length of the mirror (f).

Using the magnification formula, we get 
 `m=(-v)/u` 
`m=(-v)/-5` 
`1/10=(-v)/-5` 
`1/10=v/5`  
`v=0.5  m`
Now, using the mirrorformula, we get  
`1/f=1/u+1/v` 
`1/f=1/-5+1/0.5` 
`1/f=1/-5+10/5` 
`1/f=-1/5+10/5` 
`1/f=9/5` 
`f=5/9` 
`R=2f` 
`R=10/9` 
or, R = 1.1
Therefore, the radius of curvature of the mirror (R) is 1.1 m.
Concept: Convex Mirror
  Is there an error in this question or solution?
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APPEARS IN

Lakhmir Singh Class 10 Physics (Science)
Chapter 4 Reflection of Light
Q 10.2 | Page 209
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