An object is placed $15 \text{ cm}$ from $(a)$ a converging mirror, and $(b)$ a diverging mirror, each having a radius of curvature of $20 \text{ cm}$. Calculate the image position and magnification in each case.

The images show the ray diagrams of images formed by convex mirrors. $P$ is the pole of the mirror. $C$ is the centre of curvature. $F$ is the focus. $AB$ is the object and $A'B'$ is the image.
$5$. Which statements are supported by the two diagrams? Circle 'Yes' or 'No' for each statement.

Is the statement supported by the two diagrams?	Yes/No
Convex mirrors produce virtual images	Yes/No
Convex mirrors produce erect images	Yes/No
Convex mirrors have their focus behind the mirrors	Yes/No

$6$. Which of these is a convex mirror?
$A$. Shaving mirror
$B$. Dentist’s mirror
$C$. Headlight mirror of a bike
$D$. Rear-view mirror of a car
$7$. A mirror magnifies the image of an object by $-1.5$ times. Which of the following is true about the image produced by the mirror?
$A$. The image is real and larger than the object.
$B$. The image is real and smaller than the object.
$C$. The image is virtual and larger than the object.
$D$. The image is virtual and smaller than the object.

$(a)$ If the image formed by a lens is diminished in size and erect, for all positions of the object, what type of lens is it?
$(b)$ Name the point on the lens through which a ray of light passes undeviated.
$(c)$ An object is placed perpendicular to the principal axis of a convex lens of focal length $20 \text{ cm}$. The distance of the object from the lens is $30 \text{ cm}$. Find:
$(i)$ The position of the image.
(ii) The magnification.
(iii) The nature of the image formed.

Which type of mirror can produce a virtual image?

A student wants to project the image of a candle flame on the walls of the school laboratory by using a mirror.
$(a)$ Which type of mirror should he use and why?
$(b)$ At what distance, in terms of focal length '$f$' of the mirror, should he place the candle flame to get a magnified image on the wall?
$(c)$ Draw a ray diagram to show the formation of the image in this case.
$(d)$ Can he use this mirror to project a diminished image of the candle flame on the same wall? State 'how' if your answer is 'yes' and 'why not' if your answer is 'no.'

Consider the following properties of virtual images :
$(A)$ Cannot be projected on the screen.
$(B)$ Are formed by both concave and convex lenses.
$(C)$ Are always erect.
$(D)$ Are always inverted.
The correct properties are :