a shop security mirror 5 mfrom certain items displayed in the shop produces one-tenth magnification what is the radius of curvature of the mirror
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Given
Magnification=1/10
We know that
m=hi/ho=-v/u
1/10=-v/-5
-5=-10v
v=5/10
v=1/2=0.5555...
By mirror formula
1/f=1/v+1/u
1/f=1/0.555+1/-5
=1/f=5+-0.5/0.5(-5)
=4.5/-2.5=-1.8
1/f=-1.8
f=1/-1.8
=10/-18
f=-0.55555....
:Answer:
=f=R/2
R=2f
R=2(-0.555555)
=-1.111111......
Hence it can be written as - 11/10
Magnification=1/10
We know that
m=hi/ho=-v/u
1/10=-v/-5
-5=-10v
v=5/10
v=1/2=0.5555...
By mirror formula
1/f=1/v+1/u
1/f=1/0.555+1/-5
=1/f=5+-0.5/0.5(-5)
=4.5/-2.5=-1.8
1/f=-1.8
f=1/-1.8
=10/-18
f=-0.55555....
:Answer:
=f=R/2
R=2f
R=2(-0.555555)
=-1.111111......
Hence it can be written as - 11/10
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