Image Formation in Convex Mirror

Q.

The image formed by a convex mirror of focal length 30cm is a quarter of the size of the object. The distance of the object from the mirror is

1. 60cm

2. 90cm

3. 120cm
4. 30cm

Q. When an object is placed at a distance of 60cm from a convex spherical mirror, the magnification produced is 1/2. Where should the object placed to get magnification of 1/3?

Q. A concave mirror of focal length $f$ produces an image $n$ times the size of the object. If the image is real, then the distance of the object from the mirror is

1. $(n-1)f$
2. $\left(\frac{n+1}{n}\right)f$
3. $\left(\frac{n-1}{n}\right)f$
4. $(n+1)f$

Q. To get an image larger than the object one can use

1. a convex mirror but not a concave mirror.
2. a concave mirror but not a convex mirror.
3. either a convex mirror or a concave mirror.
4. a plane mirror.

Q. A convex mirror of focal length $10\text{cm}$ is shown in the figure. A linear object $\text{AB}=5\text{cm}$ is placed along the optical axis. Point $\text{A}$ is at a distance of $25\text{cm}$ from the pole of the mirror. The length of image of $\text{AB}$ is

1. $2.5\text{cm}$
2. $0.36\text{cm}$
3. $0.64\text{cm}$
4. $0.75\text{cm}$

Q. 62.An object is placed at a distance of 20 cm from a convex mirror of focal length 25 cm. Calculate the position of the image?Discuss its nature??

Q. An object of height $2\text{cm}$ is placed on the principal axis of a concave mirror at a distance of $12\text{cm}$ from the pole. If the image is real, inverted and $5\text{cm}$ high, then location of the image and the focal length of the mirror is

1. $30\text{cm},8.6\text{cm}$
2. $30\text{cm},7.6\text{cm}$
3. $25\text{cm},8.6\text{cm}$
4. $25\text{cm},7.6\text{cm}$

Q.

Draw a ray diagram in each of the following cases to show what happens after reflection to the incident ray when

1. it is parallel to the principal axis and falls on a convex mirror.
2. it is falling on a concave mirror while passing through its principal focus.
3. it is coming oblique to the principal axis and falling on the pole of a convex mirror.

Q.

For a convex mirror :

1. u is always negative

2. v is always positive

3. f is always negative

4. f is always positive

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

Q. A convex mirror is used to form an image of a real object. Then mark the wrong statement.

1. The image lies between the pole and focus
2. The image is diminished in size
3. The image is erect
4. The image is real

Q. All of the following statements are correct except

1. The magnification produced by a convex mirror is always less than one
2. A virtual, erect, same-sized image can be obtained using a plane mirror
3. A real, inverted, same-sized image can be formed using a convex mirror
4. A virtual, erect, magnified image can be formed using a concave mirror

Q.

Draw ray diagrams showing the image formation by a convex lens when an object is placed between focus and twice the focal length of the lens.

Q. Assertion : Plane and convex mirrors can produce real images of objects.
Reason : A plane or convex mirror can produce a real image, if the object is virtual.

Choose the correct one out of the given responses.

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

Q.

A convex and a concave mirror of radii 10 cm each are facing each other and 15 cm apart. A point object is placed midway between them. Then position of the final image if the reflection first takes place at the concave mirror and then in the convex mirror is

1. at the pole of the concave mirror

2. coincident with the object itself

3. 5 cm behind the convex mirror

4. at the pole of the convex mirror

Q. The focal length of convex mirror $M_1$ is $20\text{cm}$ and that of concave mirror $M_2$ is $30\text{cm}$. For the object placed at $O$ as shown in the figure, find the distance of the second image $I_2$ from the pole of the mirror $M_2$. Consider first reflection to be at $M_1$.

1. $60\text{cm}$
2. $90\text{cm}$
3. $120\text{cm}$
4. $150\text{cm}$

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 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. An object is placed in front of a spherical mirror at a very far distance and its image is observed to be formed highly diminished, virtual and upright. The mirror is

1. plane mirror
2. either plane mirror or concave mirror
3. concave
4. convex

Q. A boy $2\text{m}$ tall stands at a distance $40\text{cm}$ in front of a mirror. He sees an erect image $1\text{m}$ high. The nature of mirror is

1. concave
2. convex
3. plane
4. either convex or concave

Q. The image of extended and real object formed by a convex mirror is always

1. real
2. magnified
3. inverted
4. diminished

Q. Identify the incorrect statement with respect to the given ray diagram.

1. Object is placed at focus
2. Image formed is virtual and enlarged
3. Image formed is real and inverted
4. Image is formed at infinity

Q. At what distance from a convex mirror of focal length 2.5 m should a boy stand so that his image has a height equal to half the original height ? The principal axis is perpendicular to the height

Q. Which of the following is the correct statement regarding the nature of the image formed by a convex mirror (for a real object)?

1. The image is always diminished
2. The image is always real
3. The image is always inverted
4. The image is always enlarged

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. Assertion :Keeping a point object fixed, if a plane mirror is moved away from the object, the image will also move. Reason: In case of a plane mirror, distance of object and its image is equal from any point on the mirror.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
2. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
3. Assertion is correct but Reason is incorrect
4. Assertion is incorrect but Reason is correct

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. An object is placed in front of a mirror and image of it is formed at the object itself. The mirror mentioned in question is a convex mirror.

1. True
2. False

Q. 20.An object is placed 15cm from a convex mirror of radius of curvature 90cm. Calculate image position and magnification

Q. an object is placed 15 CM in front of a convex lens of focal length 10 cm find the nature and position of the image formed when should a concave mirror of radius of curvature 20cm be placed so that the final image is formed at the position of the object itselfan object is placed 15 CM in front of a convex lens of focal length 10 cm find the nature and position of the image formed wher should a concave mirror of radius of curvature 20cm be placed so that the final image is formed at the position of the object itself