Image Formation in Convex Mirror

Q. A diminished image of an object is to be obtained on a screen 1.0 m from it. This can be achieved by appropriately placing :

1. A concave mirror of suitable focal length
2. A convex mirror of suitable focal length
3. Both of them
4. Neither of them

Q. The mirror which is used as a rearview mirror in automobiles is

1. Plane mirror
2. Convex mirror
3. Concave mirror
4. Any of the above

Q. It is observed that when an object placed in front of a spherical mirror, a real and enlarged image is formed. The type of mirror used and position of object are respectively :

1. Concave, between 'P' and 'F'
2. Concave, beyond 'C'
3. Concave, between 'C' and 'F'
4. Convex, between 'C' and 'F'

Q. Assertion: Focal length of a convex mirror is $20\text{cm}$. If a real object is placed at a distance of $20\text{cm}$ from the mirror, its virtual, erect and diminished image will be formed.
Reason: If a virtual object is placed at $20\text{cm}$ distance behind the convex mirror, its image is formed at infinity.
Choose the correct option based on it.

1. Assertion and reason both are correct and reason is the correct explanation of assertion
2. Assertion and reason both are correct and reason is not the correct explanation of assertion
3. Assertion is true, but reason is false
4. Assertion is false, but reason is true.

Q.

A diminished virtual image can be formed only in

[MP PMT 2002]

1. Plane mirror

2. A concave mirror

3. A convex mirror

4. Concave-parabolic mirror

Q.

A convex mirror is used to form the image of an object. Then which of the

following statements is wrong

[CPMT 1973]

1. The image lies between the pole and the focus

2. The image is diminished in size

3. The image is erect

4. The image is real

Q.

A convex mirror of focal length f forms an image which is times the object. The distance of the object from the mirror is

1. 

2. 
3. 
4. 

Q. A ray of light incident on a spherical mirror appears to intersect the principle axis $60\text{cm}$ behind the mirror. If the light ray retraces its path after reflection, then the focal length of the mirror is

1. $25\text{cm}$
2. $-30\text{cm}$
3. $30\text{cm}$
4. $60\text{cm}$

Q. A convex mirror of focal length f is placed at the origin with its reflecting surface towards the negative x axis. Chose the correct graph between v and u for $0\le u\le -\infty$
[The object is real

1. 
2. 
3. 
4. 

Q. Blocks $A$ and $B$ of mass $m$ are placed inside an elevator which is going upward with an acceleration of $2{\text{m/s}}^2$ and a convex mirror having focal length $12\text{cm}$ is placed below block $B$. All the surfaces are smooth and the pulley is light. The mass pulley system is released from rest with respect to the elevator at time $t=0\text{s}$, when the distance of the block $B$ from the mirror is $42\text{cm}$. Find the distance between the image of the block $B$ and mirror at $t=0.2\text{s}$.

1. $5.6\text{cm}$
2. $6.6\text{cm}$
3. $7.6\text{cm}$
4. $8.6\text{cm}$

Q. A convex mirror of focal length 10 cm is placed in water. The refractive index of water is $\frac{4}{3}$. What will be the focal length of the mirror in water

1. 10 cm
2. $\frac{40}{3}cm$
3. $\frac{30}{4}cm$
4. None of these

Q.

Image formed by a convex mirror is [MP PET 1993]

1. Virtual

2. Real

3. Enlarged

4. Inverted

Q. A driving mirror having radius of curvature $100\text{cm}$ and length over the curved surface is $10\text{cm}$. If the eye of the driver is assumed to be at a large distance, then the field of view in radians is: (consider paraxial rays only and small mirror operator)

1. $0.2$
2. $4$
3. $3$
4. $5$

Q. A convex mirror is placed in the path of the converging rays at a distance of $30\text{cm}$ infront of the point of convergence. If the reflected rays appear to diverge from a point $1.2\text{m}$ from the mirror, find its focal length.

1. $16\text{cm}$
2. $-20\text{cm}$
3. $24\text{cm}$
4. $-30\text{cm}$

Q. For the given arrangement of a plane mirror and a concave mirror, the light ray is found to retrace its path after reflection from the plane mirror. The point ${}^{\prime }{1}^{\prime }$ through which the incident ray is passing must be

1. lying between the pole and the focus of concave mirror
2. lying between the centre of curvature and focus of concave mirror
3. lying at the centre of curvature of concave mirror
4. lying at the focus of concave mirror