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The Radius of Curvature of a Convex Mirror Used as a Rear View Mirror in a Moving Car is 12.0 M. a Truck is Coming from Behind It at a Distance of 3.54 M. Calculate (A) Position, and (B) Size of t - Science

The radius of curvature of a convex mirror used as a rear view mirror in a moving car is 12.0 m. A truck is coming from behind it at a distance of 3.54 m. Calculate (a) position, and (b) size of the image relative to the size of the truck. What will be the nature of the image?

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Solution

Given,
The mirror is convex.
Distance of the object from the mirror 'u' = -3.54 cm
Radius of curvature of the mirror 'R' = 12 cm
Focal length of the convex mirror 'f' = 6 cm
We have to find the position of the image 'v' and its magnification 'm'.
Using the mirror formula, we get   
`1/f=1/v+1/u` 
⇒`1/1=1/v+1/-3.5` 
⇒`1/1+10/35=1/v` 
⇒`35/35+10/35=1/v` 
⇒`45/35=1/v` 
⇒`v=35/45=7/9=0.77 m` 
Thus, the distance of the image 'v' is 0.77 m behind the mirror.
Now, using the magnification formula, we get 
`m=-(v)/u` 
`m=(-0.77)/-3.5=1/4.5`  
  Positive magnificatio shows that the image is virtual and erect 
m=-vum=-0.77-3.5=14.5Positive magnification shows that the image is virtual and erect.">Positive magnification shows that the image is virtual and erect.m=-vum=-0.77-3.5=14.5Positive magnification shows that the image is virtual and erect. Thus, the image is virtual, erect and smaller in size.  

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 8 | Page 209
Lakhmir Singh Class 10 Physics (Science)
Chapter 4 Reflection of Light
Q 8 | Page 209
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