an object is placed at a distance of 12 cm from a concave mirror of radius of curvature 16 cm , find the position of the image ?
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Answer :-
Image distance is -24 cm.
Explanation :-
Given :-
Object distance (u) = -12 cm
Radius of curvature (r) = -16 cm
To find :-
Position of the image/Image distance (v) = ?
Solution :-
Radius of curvature (r) = -16 cm
Focal length (f) = r/2
-16/2
∴ Focal length is -8 cm.
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Using mirror formula :
1/v + 1/u = 1/f
1/v + 1/(-12) = 1/(-8)
1/v = 1/-8 - 1/-12
1/v = (1 × -3 - 1 × -2)/24
1/v = -1/24
v = -24
∴ Image distance (v) is -24 cm.
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