Spherical Mirrors

When a spherical mirror is held up almost facing the sun, a sharp image of the sun is formed on a small piece of paper, which causes it to catch fire. The spherical mirror is _____ in nature and the sheet of paper is placed at the _____ of the mirror. Fill in the blanks by choosing an appropriate option from the ones given below.

A student determines the focal length of a device 'X' by focusing the image of a distant object on a screen placed $20 \mathrm{cm}$ from the device on the same side as the object. The device 'X' is

What are real life applications of a concave mirror?

An object of height $10\mathrm{mm}$ is placed in front of a concave mirror and virtual image of height $20\mathrm{mm}$ is obtained. If the object is placed at $20 \mathrm{cm}$from the concave mirror, the focal length of mirror is

Type of spherical mirror are:

Give the ray diagrams indicating the position, size and nature of the image formed by a convex mirror when an object is kept

(a) at infinity

(b) between pole and infinity

Describe the formation of images in both the cases.

An object is placed in front of convex mirror at a distance of 50 cm. A plane mirror is introduced covering the lower half of the convex mirror. If the distance between the object and plane mirror is 30 cm. It is found that there is no parallax between the images formed by two mirrors. Radius of curvature will be

A candle flame 3 cm is placed at a distance of 3 m from a wall. How far from wall must a concave mirror be placed in order that it may form an image of flame 9 cm high on the wall

A square of side 6 cm is placed at a distance of 25 cm from a concave mirror of focal length 10 cm. The centre of the square is at the axis of the mirror and the plane is normal to the axis. The area enclosed by the image of the wire is

A convex mirror has a focal length x, A real object is placed at a distance x in front of it from the pole produces an image at

An object of length 2.5 cm is placed perpendicular to principle axis at a distance of 1.5d from a concave mirror where d is the magnitude of the focal length of the mirror. The nature of the image is

An object 20 cm tall is placed 1 m from a concave spherical mirror which has a radius of curvature of 40 cm. The size of the image is

A convex mirror of focal length f forms images which is 1/n times the object. The distance of the object from the mirror is

Mark True or False.

1. Concave mirror can form virtual diminished images

2. Convex mirror can form real images for virtual objects

3. Virtual image formed in mirror acts like a real object

4. In case of spherical mirrors, we cannot draw a normal at the point of incidence

Mark True or False

1. Mirror formula $\frac{1}{f}=\frac{1}{u}+\frac{1}{v}$ does not hold good for plane mirror.

2. R = 2f is valid only when paraxial rays are considered.

3. Similarity of $∆APB and ∆A\text{'}PB\text{'}$ proves $\frac{h}{h\text{'}}=\frac{v}{u}$ where promumerals has conventional connotation.

4. In case of convex mirror focal length is always +ve.

A U-shaped wire is placed before a concave mirror having radius of curvature 30 cm as shown in figure given below. Find the total length of the image.

A cube of side 20 cm is placed in front of a concave mirror focal length 10 cm with its face P at a distance of 30 cm and face Q at a distance of 50 cm from the mirror. The distance between the images of face P and Q and height of images of P and Q are

A luminous object is placed 60 cm from surface of a convex mirror and a plane mirror is set so that virtual image formed in two mirrors coincide. If plane mirror is at a distance of 40 cm from object, then focal length of convex mirror is

A dice is placed with its one edge parallel to the principle axis between the principal focus and the centre of the curvature of a concave mirror. Then the image has the shape of

A convex mirror is used to form the image of an object. Then which of the following statements is/are correct.

1. The virtual image lies between the pole and the focus.

2. The virtual image is diminished in size.

3. The virtual image is erect

4. The image can be real

Which of above statements are correct?