Size of Mirror

Q. If the separation between the two eyes of a man is d, what should be the minimum width of the mirror in which the man could see the full image of his face of width w, using both of his eyes.

1. $\frac{1}{2}(w+d)$
2. $(w-d)$
3. $\frac{1}{2}(w-d)$
4. $\frac{1}{2}w$

Q. What should be the minimum height of the mirror so that a person can see the full wall of height h behind him? (Assume the man to be at the centre of the wall and the mirror.)

1. $h$
2. $\frac{h}{2}$
3. $\frac{h}{3}$
4. $\frac{h}{4}$

Q. A flat mirror $M$ is arranged parallel to a wall $W$ at a distance $L$ from it as shown in the figure. The light produced by a point source $S$ kept on the wall is reflected by the mirror and produces a light patch on the wall. If the mirror moves with velocity $v$ towards the wall.

1. The patch of light will not move on the wall.
2. The width of the light patch on the wall remains the same.
3. As the mirror comes closer the patch of light will become larger and shift away from the wall with speed larger than $v$.
4. The patch of light will move with the speed $v$ on the wall.

Q. What is the minimum length of the mirror required to visualise the complete image of the body of a person of height H.

1. Cannot be formed
2. 3H
3. $\frac{H}{2}$
4. $\frac{H}{3}$

Q. A person $1.6\text{m}$ tall is standing at the centre between two walls $3\text{m}$ high. What is the minimum size of a plane mirror fixed on the wall in front of him, if the person wants to see the image of the full height of the wall behind him?

1. $0.8\text{m}$
2. $1\text{m}$
3. $2.3\text{m}$
4. $1.5\text{m}$

Q. A man is $180\text{cm}$ tall and his eyes are $10\text{cm}$ below the top of his head. In order to see this entire height right from toe to head, he uses a plane mirror kept at a distance of $1\text{m}$ from him. The minimum length of the plane mirror is

1. $90\text{cm}$
2. $85\text{cm}$
3. $170\text{cm}$
4. $180\text{cm}$

Q. A point object $O$ is placed in front of a plane mirror as shown in the figure. In order to see the image in mirror, the region where a person must place his eyes is best represented as:

1. 
2. 
3. 
4. 

Q. A person has a $15cm$ wide face and his two eyes are separated by $9cm$. The minimum width of a mirror required for the person to view his complete face literally is

1. $15cm$
2. $6cm$
3. $3cm$
4. $9cm$

Q. A man of height $H$ is standing in front of a mirror, which has been fixed on the ground. What length of his body can the man see in the mirror? The length of the mirror is $\frac{H}{2}$. (Neglect seperation between eyes and head of men)

1. $H$
2. $\frac{H^2}{{(H^2+L^2)}^{\frac{1}{2}}}$
3. $\frac{{2H}^2}{L}$
4. $zero$

Q. A point source of light $B$ is placed at a distance $L$ in front of the center of a mirror of width $d$ hung vertically on a wall. A man walks in front of the mirror along a line parallel to the mirror at a distance $2L$ from it as shown in Fig. the greatest distance over which he can see the image of the light source in the mirror is

1. $\frac{d}{2}$
2. $d$
3. $2d$
4. $3d$