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Question

An object height 7.5 cm is placed in front of a convex mirror of radius of curvature 25 cm at a distance of 40 cm. The height of the image should be

A
3.41cm
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B
1.78cm
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C
1cm
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D
0.8cm
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Solution

The correct option is B 1.78cm
Size of the object (h0)=7.5 cm
Radius of curvature (R)=25 cm
Object distance (u)=40 cm
Focal length f=R2=252=12.5 cm
Size of the image (hi)=?
Using mirror formula 1f=1v+1u
112.5=140+1v

v=40×12.540+12.5=9.52 cm

Magnification:––––––––––––––

v4=hiho9.5240=4i7.5hi=1.785 cm

(B) is the correct option.

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