Question

a convex mirror has radius of curvature 3m. if object is located 5m from the mirror , find position,nature and size of image formed

Answer 1

Hey! here is your answer below:-

Given,
radius of curvature=3m
object distance, u=5m
focal length,f=3/2 =1.5m
Now,

$1 \div v - 1 \div u = 1 \div f \\ = > 1 \div v = 1 \div f + 1 \div u \\ = > 1 \div v = 1 \div 1.5 + 1 \div 5 \\ = > 1 \div v = 1.3 \div 1.5 \\ = > v = 1.153m$
Again,
$magnification = v \div u \\ = > m = 1.153 \div 5 \\ = > m = 0.2306$
Therefore,
required position of the image=1.153m
" magnification=0.2306
" nature of the image formed is erect and virtual




Hope so it will help you
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