Answer: 5cm
Explanation: Since the radius of curvature is 10cm, the focal length of the mirror (f) is
f = r/2
Where r is the radius of curvature.
Since r = 10cm, f = 10/2 = 5cm.
To produce a parallel light rays of a flash light, it means the the image will be at infinity this making the image distance to be infinite.
From the mirror formulae
1/u + 1/v = 1/f
Where u = object distance =?, v = image distance = infinity and f = focal length = 5cm.
Let us substitute the parameters, we have that
1/u + 1/∞ = 1/5
1/∞ = 0
Hence 1/u = 1/5
u = 5cm.
Hence the object needs to be placed nearly 5cm to the mirror