Magnification

Q.

An object is placed 15cm from a convex mirror of radius of curvature 90cm. Calculate image position and magnification.

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. A point object is placed at a distance of $30\text{cm}$ from the pole of a concave mirror on the principal axis. The velocity of the image with respect to ground will be,
$[$ The velocity of the object is given with respect to ground$]$

1. $2\text{cm/s}$ downwards
2. $2\text{cm/s}$ upwards
3. $4\text{cm/s}$ upwards
4. $4\text{cm/s}$ downwards

Q. a rod AB of length 5cm lies along the principal axis of the concave mirror of focal length 15cm in such a way that theend closer to the pole is 30 cm away from it. Find the length of image

Q. Car $B$ overtakes another car $A$ at a relative speed of $40{\text{ms}}^{-1}$. How fast will the image of car $B$ appear to move, in the mirror of focal length $10\text{cm}$, fitted in car $A$, when the car $B$ is $1.9\text{m}$ away from the car $A$?

1. $4{\text{ms}}^{-1}$
2. $0.1{\text{ms}}^{-1}$
3. $40{\text{ms}}^{-1}$
4. $0.2{\text{ms}}^{-1}$

Q. The velocity of the image with respect to ground in the figure shown below figure will be :
$[$Mirror is at rest and velocity of the object $\left(O\right)$ is given with respect to ground$]$

1. $45\text{m/s}$ towards the mirror
2. $35\text{m/s}$ towards the mirror
3. $45\text{m/s}$ away from the mirror
4. $35\text{m/s}$ away from the mirror

Q. Determine the velocity of image with respect to mirror:

1. 
   $(0.25\hat{i}-0.5\hat{j})\text{m/s}$
2. 
   $(0\hat{i}-0.5\hat{j})\text{m/s}$
3. 
   $(0.5\hat{i}-1\hat{j})\text{m/s}$
4. 
   $(0.1\hat{i}-0.5\hat{j})\text{m/s}$

Q. 6.A thin rod of length f/3 is placed along the principal axis of a concave mirror of focal length f such that its real elongated image just touches the rod. The magnification produced by the mirror is

Q.

The radius of curvature of a concave mirror is 24 cm and the image is magnified by 1.5 times. The object distance is???

Q. Find the velocity of image of point object P $\left(\text{in cm/s}\right)$ formed by the plane mirror :

1. $2\hat{i}+10\hat{j}$
2. $2\hat{i}-10\hat{j}$
3. $10\hat{i}+2\hat{j}$
4. $10\hat{i}-2\hat{j}$

Q. For the situation shown in the figure, find the velocity of the image formed by the mirror.

1. $5(1+\sqrt{3})\hat{i}+5\sqrt{3}\hat{j}\text{m/s}$
2. $5(1+\sqrt{3})\hat{i}-5\sqrt{3}\hat{j}\text{m/s}$
3. $-5(1+\sqrt{3})\hat{i}+5\sqrt{3}\hat{j}\text{m/s}$
4. $-5(1+\sqrt{3})\hat{i}-5\sqrt{3}\hat{j}\text{m/s}$

Q. The origin of $x$ and $y$ coordinates is the pole of a concave mirror of focal length $20\text{cm}$. The $\text{x-axis}$ is the optical axis with $x>0$ being the rear side of mirror. A point object at the point $(30\text{cm},1\text{cm})$ is moving with a velocity $10\text{cm/s}$ in positive $\text{x-}$direction. The velocity of the image in $\text{cm/s}$ is approximately

1. $-80\hat{i}+8\hat{j}$
2. $-40\hat{i}-2\hat{j}$
3. $-40\hat{i}+2\hat{j}$
4. $40\hat{i}-4\hat{j}$

Q. An infinitely long rod lies along the axis of a concave mirror of focal length f, the near end of rod is at a distance u>f from mirror. What is length of image?

Q. uv graph for convex mirror is shown in figure. If the magnification of a real object placed at $25\text{cm}$ from mirror is $\left(\frac{4}{x}\right)$, then $x$ is:

Q. A concave lens has focal length of $10\text{cm}$. If the object is placed at a distance of $30\text{cm}$ from the lens, then the magnification produced by the lens is

1. $1.33$
2. $0.25$
3. $0.84$
4. $1.25$

Q. The focal length of the mirror shown in figure is $20\text{cm}$. A point object at $\text{O}$ is moving with velocity $5\text{mm/s}$ making an angle of ${37}^{\circ }$ with the principal axis as shown. Then, which of the following graphs correctly represents the position and direction of velocity of its image at this instant?

1. 
2. 
3. 
4. 

Q. The velocity of the image with respect to ground in the below shown figure will be
$[$Mirror is at rest and velocity of the object $\left(O\right)$ perpendicular to the principal axis is given with respect to ground$]$

1. $10\text{m/s}$ moving downwards
2. $10\text{m/s}$ moving upwards
3. $20\text{m/s}$ moving downwards
4. $20\text{m/s}$ moving upwards

Q.

A thin stick of length $\frac{f}{5}$ is placed along the principal axis of a concave mirror of focal length f such that its image which is real and elongated just touches the stick. what is the magnification?

Q. An object and a plane mirror are moving as shown in figure. Determine the velocity of image with respect to ground.

1. $4\hat{i}+3\hat{j}\text{m/s}$
2. $-4\hat{i}\text{m/s}$
3. $-4\hat{i}+3\hat{j}\text{m/s}$
4. $4\hat{i}\text{m/s}$

Q. (4)30cmm2).A source of light is at 10 cm from a convex mirror and is then moved to a distance of 2 cm fromthe mirror. How much does the image move, if the radius of curvature of the mirror is 4.8 cm?

Q. Find the position of the image formed after the first reflection from the concave mirror as shown in the figure.

1. at $20\text{cm}$ from mirror on the left side
2. at $40\text{cm}$ from mirror on the left side
3. at infinity
4. at $10\text{cm}$ from mirror on the left side

Q. An object $O$ is moving with velocity $(\hat{i}+2\hat{j}+3\hat{k})\text{m/s}$ and a plane mirror facing the object is lying in $(y-z)$ plane. If the mirror is moving with velocity $2\hat{i}\text{m/s}$, the velocity of image w.r.t object (in SI units) is :

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

Q. In the figure shown, two plane mirrors $M_1$ and $M_2$ are fixed on the two blocks $A$ and $B$ as shown in the figure. An object is placed midway between the two mirrors . Find the acceleration of the image formed by mirror-2 w.r.t the image formed by mirror-1.

1. $\frac{22g}{15}$
2. $\frac{-22g}{15}$
3. $-\frac{44g}{15}$
4. $\frac{44g}{15}$

Q. A square plate of side l is placed on the principal axis at focal point F of a convex mirror such that the principal axis is passes through the centre of plate normally .the area of image of the plate is

Q. The sun (diameter $d$) subtends an angle $\theta$ radians at the pole of a concave mirror of focal length $f$. What is the diameter of the image of the sun formed by the mirror ?

1. $\theta f$
2. $2\theta f$
3. Zero
4. $\infty$

Q. Find the velocity of image w.r.t ground. The mirror is at rest and the object is moving perpendicular to the axis with $5\text{m/s}$ as in figure.The magnitude of velocity of image(in $\text{m/s}$) is

Q. Find the number of imges formed according to the given cases

1. $8,9$
2. $9,8$
3. $8,8$
4. $9,9$

Q. An extended object of size $2\text{mm}$ is placed on the principal axis of a converging lens of focal length $10\text{cm}$ . It is found that when the object is placed perpendicular to the principal axis the image formed is $4\text{mm}$ in size. The size of image when it is placed along the principal axis is ( in $\text{mm})$.

Q. A plane mirror is placed at the origin parallel to $y-$ axis, facing the positive $x-$ axis. An object starts from $(2m,0,0)$ with a velocity of $(2\hat{i}+2\hat{j})\text{m/s}$. The 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. Find the velocity of the image of object $O$ with respect to ground in the given figure. The velocities of the object and the mirror w.r.t ground are given.

1. $\frac{5}{4}\text{cm/s}$ towards the mirror
2. $\frac{7}{4}\text{cm/s}$ towards the mirror
3. $\frac{7}{4}\text{cm/s}$ away from the mirror
4. $\frac{7}{9}\text{cm/s}$ away from the mirror