Moving Plane Mirror, Stationary Object

Q. Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror $\left(M_1\right)$ and parallel to the second mirror $\left(M_2\right)$ is finally reflected from second mirror $M_2$ parallel to the first mirror $\left(M_1\right)$. The angle between the two mirrors will be

1. ${90}^{\circ }$
2. ${45}^{\circ }$
3. ${60}^{\circ }$
4. ${75}^{\circ }$

Q.

A man runs towards a stationary mirror at a speed 15 m/s. The speed of the image relative to the man is

1. 30 $m{s}^{-1}$
2. 15 $m{s}^{-1}$
3. 35 $m{s}^{-1}$
4. 20 $m{s}^{-1}$

Q.

The plane mirrors $M_1$ and $M_2$ are inclined to each other such that a ray of light incident on mirror $M_1$ and parallel to the mirror $M_2$ is reflected from mirror $M_2$ parallel to the mirror $M_1$. The angle between the two mirror is (in degrees)

Q. A plane mirror is placed at origin parallel of y- axis, facing the positive x–axis. An object starts from (2m, 0, 0) with a velocity of $(2\hat{i}+2\hat{j}$), relative velocity of image with respect to object is along

1. Negative x-axis
2. Positive y-axis
3. Negative y-axis
4. Positive x – axis

Q. An object is moving with a velocity of $2\hat{i}+3\hat{j}+6\hat{k}$. A plane mirror whose reflecting surface is parallel to $y-z$ plane is moving with a velocity of $\hat{i}+\hat{j}+\hat{k}$. What is the velocity of the image as seen by a stationary observer?

1. $\hat{j}+4\hat{k}$
2. $3\hat{j}+6\hat{k}$
3. $-\hat{j}-4\hat{k}$
4. $-\hat{i}+3\hat{j}+6\hat{k}$

Q. A plane mirror and a person are moving towards each other with same velocity v. Then the velocity of the image is

1. v
2. 2v
3. 3v
4. 4v

Q. 107.A plane mirror approaches a stationary person with an acceleration a.The acceleration of his image, as seen by person is ? 1)a 2)2a 3)4a 4)a/2

Q. Find the angle by which the mirror must be rotated such that the reflected ray will be travelling along the vertical (dotted line) as shown in the figure.
[CW - clockwise, CCW - counter-clockwise]

1. ${15}^{\circ }CCW$
2. ${210}^{\circ }CW$
3. ${105}^{\circ }CCW$
4. ${75}^{\circ }CCW$

Q. An object is initially at a distance of $200\text{cm}$ from a plane mirror. If the mirror approaches the object at a speed of $15\text{cm/s}$, then after $8\text{sec}$ the distance between object and its image will be

1. $120\text{cm}$
2. $160\text{cm}$
3. $170\text{cm}$
4. $30\text{cm}$

Q. By what minimum angle the mirror must be rotated anticlockwise such that the reflected ray will become vertical?

1. ${15}^{\circ }$
2. ${60}^{\circ }$
3. ${205}^{\circ }$
4. ${75}^{\circ }$

Q. Calculate the velocity of the image with respect to a stationary observer in the following situation (Object moving at an angle with mirror and mirror moving at an angle with object).

1. $5\sqrt{11}m/s$
2. $5\sqrt{5}m/s$
3. $5\sqrt{26}m/s$
4. $5\sqrt{33}m/s$

Q. A plane mirror is placed at origin parallel to Y axis, facing the positive x axis.An object starts from(2m, 0, 0) with a velocity of (2i^ + 2j^) m/s.The relative velocity of image with respect to object and in which direction?

Q. A point object is kept near a plane mirror. The mirror starts moving away from the object with a speed of $4cm/s$. The velocity of the image is

1. $8cm/s,towardstheobject$
2. $8cm/s,awayfromtheobject$
3. $4cm/s,towardstheobject$
4. $4cm/s,awayfromtheobject$

Q. A man is approaching a plane mirror with constant acceleration of 4 $m/s^2$. Initially the person is at rest. Mirror is moving towards the person with a constant velocity of 4 m/s. The correct variation of velocity of image of man (wrt ground) vs time is best given by consider leftwards as positive)

1. 
2. 
3. 
4. 

Q. If plane mirror is rotated through an angle ${40}^{\circ }$ then reflected ray is rotated through

1. ${20}^{\circ }$
2. ${40}^{\circ }$
3. ${60}^{\circ }$
4. ${80}^{\circ }$

Q. A point object is kept near a plane mirror. The mirror starts moving away from the object with a speed of $4cm/s$. The velocity of the image is

1. $8cm/s,towardstheobject$
2. $8cm/s,awayfromtheobject$
3. $4cm/s,towardstheobject$
4. $4cm/s,awayfromtheobject$

Q.

A plane mirror is approaching you at a speed of you can see your image in it. At what speed will your image approach you

1. 
   

2. 
3. 
4. 

Q. If an object moves towards a plane mirror with a speed v at an angle $\theta$ to the perpendicular to the plane of the mirror, find the relative velocity between the object and the image.

1. v
2. 2v
3. 2v$\cos \theta$
4. 2v$\sin \theta$

Q.
My cute puppy, Jenny, saw a mirror for the 1st time in its life. Thinking, of course, that it was another dog she was seeing, she started barking and running towards the mirror with a speed of 10 cm/s. Now, I started moving the mirror towards Jenny with a speed of 5 cm/s, just to mess with her. How fast will Jenny see 'the other dog' (her image) running? (The mirror is a plane mirror. Also, assume Jenny to be a point object, she's tiny, and far from the mirror, so not a bad assumption!)

1. $30\frac{cm}{s}$, towards her.
2. $30\frac{cm}{s}$, away from her.
3. $20\frac{cm}{s}$, towards her
4. $20\frac{cm}{s}$, away from her.

Q.

A ray of light is incident at an angle of ${50}^0$. Then the ray and the mirror are both rotated clockwise by ${10}^0\text{and}{15}^0$ respectively. The angle turned by the reflected ray is

1. ${40}^0$
2. ${10}^0$
3. ${20}^0$
4. ${30}^0$

Q. A man run towards the plane mirror at $2m{s}^{-1}$. The relative speed of his image with respect to him will be

1. $2m{s}^{-1}$
2. $4m{s}^{-1}$
3. $18m{s}^{-1}$
4. $10m{s}^{-1}$

Q. Find the velocity of image.

1. $-11\hat{i}$
2. $-8\hat{i}+4\hat{j}$
3. $-11\hat{i}+4\hat{j}$
4. $-19\hat{i}+4\hat{j}$

Q. Figure shows an over-head view of a corridor with a plane mirror $M$ mounted at one end. A burglar $B$ sneaks along the corridor directly toward the centre of the mirror. If $d=3.0\text{m}$, how far from the mirror will he be, when the security guard $S$ first observes him in the mirror ?

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

Q. Find the angle through which the reflected ray gets rotated when the mirror is rotated by an angle of ${60}^o$.

Q. The object is stationary and the plane mirror has a velocity of $2\hat{i}$. If the mirror is along the y axis, then the velocity of image is .

1. $2\hat{i}$
2. $4\hat{i}$
3. $6\hat{i}$
4. Null vector

Q. Find the velocity of image.

1. $-19\hat{i}+4\hat{j}$
2. $-11\hat{i}$
3. $-11\hat{i}+4\hat{j}$
4. $-8\hat{i}+4\hat{j}$

Q. An object is initially at a distance of $200\text{cm}$ from a plane mirror. If the mirror approaches the object at a speed of $15\text{cm/s}$, then after $8\text{sec}$ the distance between object and its image will be

1. $120\text{cm}$
2. $160\text{cm}$
3. $170\text{cm}$
4. $30\text{cm}$

Q. A plane mirror is placed at origin parallel of y- axis, facing the positive x–axis. An object starts from (2m, 0, 0) with a velocity of $(2\hat{i}+2\hat{j}$), relative velocity of image with respect to object is along

1. Positive x – axis
2. Negative x-axis
3. Positive y-axis
4. Negative y-axis

Q. A small plane mirror is placed at the centre of a spherical screen of radius $R$. A beam of light is falling on the mirror. If the mirror makes $n$ revolutions per second, the speed of light on the screen after reflection from the mirror will be

1. $nR/4\pi$
2. $2\pi nR$
3. $nR/2\pi$
4. $4\pi nR$

Q. Object O is moving with velocity $\hat{i}+2\hat{j}+3\hat{k}$ and mirror (lies in y-z plane) is moving with velocity $2\hat{i}$

1. Velocity of image w.r.t object $2\hat{i}$
2. Velocity of image w.r.t mirror $-\hat{i}+2\hat{j}+3\hat{k}$
3. Velocity of image w.r.t ground $3\hat{i}+2\hat{j}+3\hat{k}$
4. Velocity of image w.r.t mirror $\hat{i}+2\hat{j}+3\hat{k}$