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Answer :
The mirror must placed 37.6 cm away from the concave mirror so that the image is at infinity.
A concave mirror is a mirror with a surface that is curved inward, and the focal length of a concave mirror is always a positive number. The radius of curvature of a spherical mirror is half the distance between its vertex and the center of curvature. The focal length of a concave mirror is half its radius of curvature. In general, the object distance is positive when the object is on the same side of the mirror as the incident light, and the image distance is positive when the image is on the opposite side of the mirror as the incident light. In the case of a concave mirror, when an object is placed at a distance equal to twice the focal length, its image is formed at infinity. Hence, the object distance (p) in this situation is twice the focal length (f).
The formula for focal length is: f =\frac{ r }{ 2}, where r is the radius of curvature.
As a result: f = \frac{37.6 cm }{ 2 }= 18.8 cm.
When an object is positioned twice the focal length away from the concave mirror, the image is located at infinity. Hence, the object must be positioned 18.8* 2 = 37.6 cm away from the concave mirror so that the image is at infinity. The object distance for an object located at infinity is also referred to as the focal length of the mirror. The focal length of a concave mirror is half its radius of curvature. The image formed by a concave mirror is always real, inverted, and diminished when the object is located at a distance greater than twice the focal length.
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