CONVEX LENS F/ 20CM

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8,000Ugx

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Lens Formula: The lens formula relates the object distance ((u)), image distance ((v)), and focal length ((f)) of a lens: [ \frac{1}{f} = \frac{1}{v} - \frac{1}{u} ]
Given Information:
- Focal length of the convex lens ((f)) = 20 cm
Scenario 1: Object in Front of the Lens
- Suppose an object is placed at a distance of 30 cm to the left of the convex lens.
- Using the lens formula: [ \frac{1}{20} = \frac{1}{v} - \frac{1}{30} ]
- Solving for (v): [ v = +60 , \text{cm} ]
Scenario 2: Image Position Unchanged After Removing Concave Mirror
- If the image position remains the same even when the concave mirror is removed, it means the image formed by the lens is at the center of curvature of the spherical mirror.
- Radius of curvature of the mirror = 80 cm (since the convex lens and concave mirror are 80 cm apart).
- Focal length of the mirror ((f_{\text{mirror}})) = 10 cm (since (f_{\text{mirror}} = \frac{1}{2} \times \text{radius}))
- For a virtual image, the object must be between the focus and the pole of the mirror.
- Therefore, the maximum distance of the object from the spherical mirror for which a virtual image is formed is 10 cm.