Question

a concave mirror produces three times magnified real image of the object placed at 10 cm in front of it where is the image is located calculate the radius of curvature

Answer 1

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Answer 2

Given,
Mirror (concave)
Magnification (3times)
object distance (u) =10cm
Image distance (v) =?and radius of curvature (R) =?
By magnification formula, M=-V/U
so, 3=v/10,V(image distance) =10*3=30cm
therefore the image distance of concave mirror is 30cm.
According to mirror formula -1/v+1/u=1/f
Now, we know the v(image distance) and u(object distance).
1/30+1/-10=1/f(object distance of a concave mirror is negative)
1/30-1/10=1-3/30=-2/30
therefore,focal length of concave mirror is -15cm.
so, 2f=R
hence, radius of curvature will be 30cm.