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Show that a convex mirror always forms a...

Show that a convex mirror always forms a virtual image of diminished size as compared to object.

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What are the conditions under which a convex mirror can form a real image of a virtual object and virtual image of a virtual object? Explain.

A concave mirror forms a virtual image of twice the size of the object placed at a distance of 10 cm from the mirror. If the object is placed at a distance of 30 cm from the mirror where will the image be formed? Formed? What will be the nature of the image formed?

A concave mirror forms a real image of height twice the size of the object. Now the object and the screen are so moved that a real image of height three times the size of the object is formed. If the displacement of the screen is 18 cm, determine the displacement of the object and the focal lenght of the mirror.

Use the mirror equation to deduce that : the virtual image produced by a convex mirror is always diminished in size and is located between the focus and the pole

Which type of mirror is used to get small virtual image?