Giving reasons, state the signs (positive or negative) which can be gi...
(i) Object distance (u) for a Concave mirror should be mentioned negative (-ve). Because as per the "Sign convention for images formed by sperical mirror" says that the object is always kept at left of the mirror so the sign should be mentioned in negative sign.
(ii) Image distance (v) for a Convex mirror should be mentioned positivetive (+ve). Because as you know that Convex mirror forms virtual and erect images to the right side of the mirror. So it's distance will be taken as positive.
Giving reasons, state the signs (positive or negative) which can be gi...
Object Distance (u) for a Concave Mirror
The object distance (u) is measured from the mirror's pole to the object along the principal axis.
- Sign Convention: In the case of a concave mirror, the object is typically placed in front of the mirror.
- Sign: The object distance (u) is considered negative.
- Reason: According to the sign convention for mirrors, distances measured against the direction of incident light (toward the mirror) are negative. Since the object is placed in front of the mirror, u takes a negative value.
Image Distances (v) for a Convex Mirror
The image distance (v) is the distance from the mirror to the image formed by the mirror.
- Sign Convention: For a convex mirror, the image is always formed on the same side as the object.
- Sign: The image distance (v) is considered positive.
- Reason: In convex mirrors, the images formed are virtual and appear behind the mirror. According to the sign convention, distances measured in the direction of incident light (toward the image) are positive.
Image Distances (v) for a Concave Mirror
In a concave mirror, the image distance also varies based on the position of the object.
- Sign Convention: If the image formed is real (when the object is outside the focal point), it is located in front of the mirror.
- Sign: The image distance (v) is considered positive for real images.
- Reason: Real images are formed on the same side as the object, thus following the rule that distances measured in the direction of incident light are positive. If the image is virtual (when the object is inside the focal length), v would be negative.
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