A candle ia held 6 cm away from the concave mirror of radius of curvat...
Image Formation in a Concave Mirror
Concave mirrors are curved mirrors with reflective surfaces that bulge inward. They have a center of curvature, focal point, and focal length. When an object is placed in front of a concave mirror, an image is formed.
Determination of Image Location
- Given that the radius of curvature of the concave mirror is 24 cm and the candle is held 6 cm away from the mirror, we can use the mirror formula:
1/f = 1/do + 1/di
- In this case, the object distance (do) is -6 cm (negative because the object is in front of the mirror), and the radius of curvature (R) is -24 cm (negative because it is a concave mirror).
- Substituting these values into the formula, we can calculate the image distance (di).
Nature of the Image
- Since the object is placed between the focal point and the mirror, the image formed will be virtual, erect, and magnified.
- The negative sign for the image distance indicates that the image is formed on the same side as the object, which is a characteristic of virtual images in concave mirrors.
- The magnification produced by the concave mirror will be greater than one, indicating a magnified image.
In conclusion, the image of the candle will be formed on the same side as the object, closer to the mirror, and it will be virtual, erect, and magnified.
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