Image Formation by Lens

If $F$ be the focal length of a convex lens, then the nature of image of an object placed at a distance $2F$ will be :

Two rays coming parallel to principal axis falls on plano concave lens which is separating air from other two medium as shown in the
diagram. The incident rays enter the medium K, L and through lens M. Based on the information given in the diagram arrange the values of refractive indices of medium and choose the appropriate option.

Figure given shown the ray diagram of incident ray I, falling on concave lens,$f_k,f_L,f_m$  represents the focal length of the lenses. Then based on the information in the diagram, choose the appropriate answer option.

The $I_1,I_2 and I_3$ rays coming to the system formed by divergent X and convergent Y lenses whose principal axes are coincident and focal lengths are as shown in the figure.

Accordingly, which of the $I_1, I_2 and I_3$ rays have been given the correct path after the second time in the lens?
(Distances between points are equal and about.)

Half of the X and Y lenses with refractive indices ${\mu }_x and {\mu }_y$ are in K environment with refractive index ${\mu }_k$ and half in L medium with refractive index ${\mu }_L$. As a result of the beam refractions. it leaves the lens system as the beam.

So what is the relationship between ${\mu }_x,{\mu }_y,{\mu }_k and {\mu }_L$?
 

The I-ray, which is sent parallel to the principal axis, to the optical system formed by the L thin- edged lens with coincident principal axes and the M concave mirror, leaves the system as I' beam as a result of reflection and refraction. According to this,

Accordingly, which of the $I{\text{'}}_1, I{\text{'}}_2 and I{\text{'}}_3$ rays can the I beam leave the system in the optical devices in Figure 2. Figure 3 and Figure 4 formed by the M mirror and L lens?

$I_1, I_2 and I_3$ rays are sent to the optical mechanism formed by a convergent lens with a focal length f and a plane mirror placed perpendicular to the principal axis of the lens, as shown in the figure.

Accordingly, which of the$I_1, I_2 and I_3$ rays have been given the correct path after the second time in the lens?

(Distance between points are equal and about f.)

The path of the I beam sent to the convergent lens K is as in figure-1

Accordingly, which of the $I_1, I_2 and I_3$ rays sent to the K lens as in Figure 2 is the correct path after being refracted in the lens?

The distance between an object and the screen is 100 cm. A lens produces an image on the screen when placed at either of the position 40 cm apart. The power of the lens is

A diverging lens of focal length 20 cm and converging mirror of focal length 10 cm are placed coaxially at a separation of S cm. Where an object should be placed so that a real image is formed at the object itself?

A convex lens in placed in two medium whose refractive indices are $n_1$ and $n_2$. Figure 1 show how the incident ray I undergoes its path changes as per the setup. Which of the following option clearly completes the path of ray I in the second setup as shown in figure 2?

A convex lens produces a real image m times the size of the object. What will be the distance of the object from the lens?

When a convex lens forms an image whose size is equal to that of the object, the object is placed

A lens may have two spherical surfaces, bulging outwards. Such a lens is called a convex lens. It is thicker at the middle as compared to the edges. A concave lens is bounded by two spherical surfaces, curved inwards. It is thicker at the edges than at the middle. Answer the following question.

The nature of images formed by two lenses are given.
(i) An erect and magnified virtual image
(ii) An erect and diminished virtual image

To get an image having the same size as the object, what is the position of the object?

A lens may have two spherical surfaces, bulging outwards. Such a lens is called a convex lens. It is thicker at the middle as compared to the edges. A concave lens is bounded by two spherical surfaces, curved inwards. It is thicker at the edges than at the middle. Answer the following question.

The nature of images formed by two lenses are given.
(i) An erect and magnified virtual image
(ii) An erect and diminished virtual image

By using which type of lens will we get an image having the same size as the object?

A lens may have two spherical surfaces, bulging outwards. Such a lens is called a convex lens. It is thicker at the middle as compared to the edges. A concave lens is bounded by two spherical surfaces, curved inwards. It is thicker at the edges than at the middle. Answer the following question.

The nature of images formed by two lenses are given.
(i) An erect and magnified virtual image
(ii) An erect and diminished virtual image

What type of lens is used in the second case?

Assertion: Virtual images are always erect.

Reason: Virtual images are formed by diverging lenses only.

If you are asked to select the lens for the peephole of the front door of your house, which kind of lens will you choose?