Magnification

Q. Match the corresponding entries of column $1$ with column $2$ where $m$ is the magnification produced by the mirror for the real objects.
$\begin{array}{cc}\text{Column}1& \text{Column}2\\ \left(A\right)m=-2& \text{(p) Convex mirror}\\ \left(B\right)m=-\frac{1}{2}& \text{(q) Concave mirror}\\ \left(C\right)m=+2& \text{(r) Real image}\\ \left(D\right)m=+\frac{1}{2}& \text{(s) Virtual image}\end{array}$

1. $A\to r$, $s$; $B\to q$, $s$; $C\to q$, $r$; $D\to p$, $s$
2. $A\to q$, $r$; $B\to q$, $r$; $C\to q$, $s$; $D\to p$, $s$
3. $A\to p$, $r$; $B\to p$, $s$; $C\to p$, $q$; $D\to r$, $s$
4. $A\to p$, $s$; $B\to q$, $r$; $C\to q$, $s$; $D\to q$, $r$

Q. A point object is placed at a distance of 30 cm from a convex mirror of focal length 30 cm. The image will form at
(a) infinity
(b) pole
(c) focus
(d) 15 cm behind the mirror.

Q. A concave mirror has a focal length of $20\text{cm}$. The distance between two possible positions of the object for which the image size is double of the object size is

1. $40\text{cm}$
2. $20\text{cm}$
3. $30\text{cm}$
4. $60\text{cm}$

Q.

An object of size 7.5cm is placed in front of a convex mirror of radius of curvature 25cm at a distance of 40cm The size of the image should be

1. 2.3cm
2. 1.78cm
3. 1cm
4. 0.8cm

Q.

The magnification in a spherical mirror is:

1. Negative of the ratio of image height to the object height

2. Negative of the ratio of the image distance to the object distance

3. The ratio of image distance to the object distance

4. Negative of the ratio of the object distance to the image distance

Q. A point object is placed at $60\text{cm}$ from the pole of a concave mirror of focal length $10\text{cm}$ on the principal axis. If the object is shifted $1\text{mm}$ towards the mirror along the principal axis, then find the shift in image.

1. $\frac{1}{15}\text{mm}$ away from the pole
2. $\frac{1}{15}\text{mm}$ toward the pole
3. $\frac{1}{25}\text{mm}$ away from the pole
4. $\frac{1}{25}\text{mm}$ toward the pole

Q. A very small linear object of size $1\text{mm}$ is kept at a distance of $40\text{cm}$ from a concave mirror of focal length $30\text{cm}$. The length of the image when the object is placed along the principal axis will be

1. $9\text{mm}$
2. $6\text{mm}$
3. $4\text{mm}$
4. $2\text{mm}$