Why does a driver prefer to use a convex mirror as a rear-view mirror in a vehicle?

Explain with the help of a diagram, why the concave lens is also called a diverging lens.

Give two uses of a convex mirror. Explain why you would choose convex mirror for these uses.

List two possible ways in which a concave mirror can produce a magnified image of an object placed in front of it. State the difference, if any, between these two images.

A student places a candle flame at a distance of about 60 cm from a convex lens of focal length 10 cm and focuses the image of the flame on a screen. After that he gradually moves the flame towards the lens and each time focuses the image on the screen.

1. In which direction-toward or away from the lens, does he move the screen to focus the image?
2. How does the size of the image change?
3. How does the intensity of the image change as the flame moves towards the lens?
4. Approximately for what distance between the flame and the lens, the image formed on the screen is inverted and of the same size?

A convex lens is immersed in a liquid of refractive index greater than that of glass. How will the nature of lens change?

Draw ray diagrams showing the image formation by a convex mirror when an object is placed:
At finite distance from the mirror.

Draw a ray diagram to show the formation of a real diminished image of an object by a convex lens. In your diagram, the position of object and image with respect to the principal focus should be shown clearly.

State any four characteristics of the image of an object formed by a plane mirror.

A lens is cut into two equal halves: Along the principal axis.
What will be the focallength of each half?