Moving Object, Stationary Plane Mirror

Q. David is observing his image in a plane mirror. The distance between the mirror and his image is $4\text{m}$. If he moves $1\text{m}$ towards the mirror, then the distance between David and his image will be

1. $3\text{m}$
2. $5\text{m}$
3. $6\text{m}$
4. $8\text{m}$

Q. Calculate the magnitude of velocity of the image $\left(V_s\right)$ with respect to a stationary observer in the following situation ( Object moving at an angle with the mirror and mirror is stationary).

1. $5\sqrt{2}m/s$
2. $5\sqrt{5}m/s$
3. $5\sqrt{10}m/s$
4. $5\sqrt{6}m/s$

Q. Two plane mirrors of length $L$ are separated by distance $L$ and a man $M_2$ is standing at distance $L$ from the connecting line of mirrors as shown in figure. A man $M_1$ is walking in a straight line at distance $2L$ parallel to mirrors at speed $U$. The time for which man $M_2$ at O will be able to see image of $M_1$ is

1. $\frac{3L}{U}$
2. $\frac{8L}{U}$
3. $\frac{6L}{U}$
4. $\frac{nL}{U}$

Q. A particle is moving with velocity ($\hat{i}+2\hat{j}+3\hat{k})m/s$. A plane mirror exists in the x - y plane. The mirror has a velocity $(\hat{i}+2\hat{j})m/s$. Velocity of the image (in $m/s$) is:

1. $\hat{j}+\hat{k}$
2. $\hat{i}+2\hat{j}-3\hat{k}$
3. $-\hat{j}-\hat{k}$
4. None of these

Q. An object is appproaching a stationary plane mirror at $10\text{cm/s}$. A stationary observer sees the image. At what speed will the image approach the stationary observer?

1. $10\text{cm/s}$
2. $5\text{cm/s}$
3. $20\text{cm/s}$
4. $15\text{cm/s}$

Q. According to a stationary observer on ground, a point object $O$ in front of a plane mirror $M$ and the mirror both are moving at $10\text{cm/s}$ and $20\text{cm/s}$ respectively towards right. Find the speed of the image as measured by the stationary observer.

1. $10\text{cm/s}$
2. $5\text{cm/s}$
3. $20\text{cm/s}$
4. $30\text{cm/s}$

Q. A man runs towards a mirror at a speed $+6\text{m/s}$. If the mirror is at rest, his image will have a velocity (with respect to man)

1. $12\text{m/s}$
2. $6\text{m/s}$
3. $-6\text{m/s}$
4. $-12\text{m/s}$

Q. The plane mirror shown in above figure is performing SHM with amplitude $A=3\text{cm}$. The amplitude of SHM of image wrt ground is

1. zero
2. $4\text{cm}$
3. $6\text{cm}$
4. $1.5\text{cm}$

Q. A cubical room is made by placing $6$ identical plane mirrors with the reflecting surface on the inside of the room. An insect crawls along the diagonal of the floor with constant speed of $40\text{cm/sec}$. What is the magnitude of velocity of image of insect w.r.t insect in one of the two adjacent walls?

1. $40\sqrt{2}\text{cm/s}$
2. $20\sqrt{2}\text{cm/s}$
3. $20\text{cm/s}$
4. $\frac{20}{\sqrt{2}}\text{cm/s}$

Q. An object $O$ is moving with velocity of $(\hat{i}+2\hat{j}+3\hat{k})\text{m/s}$ and a plane mirror in $yz$ plane facing the object is moving with velocity of $\left(2\hat{i}\right)\text{m/s}$. The velocity of the image with respect to ground (in SI units) will be

1. $2\hat{i}$
2. $-\hat{i}+2\hat{j}+3\hat{k}$
3. $3\hat{i}+2\hat{j}+3\hat{k}$
4. $2\hat{i}-3\hat{k}$