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Question 14
An object 5.0 cm in length is placed at a distance of 20 cm in front of a convex mirror of radius of curvature 30 cm. Find the position of the image, its nature and size.

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Solution

Radius of curvature (R) = 30 cm
f=R2=302=15 cm
Object distance, u=20 cm
Height of the object, h=5 cm
According to mirror formula,
1v+1u=1f
1v=1f1u
1v=115+120=760
Image distance,v=607=8.6 cm
Image is virtual and erect and formed behind the mirror.
hih0=vu
hi5=8.620
hi=2.15 cm
Size of image is 2.15 cm.

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