Ray Optics

A glass slab has refractive index '\(\mu\)' with respect to air and the critical angle for a ray of light in going from glass to glass to air is '\(\theta\)' If a ray of light is incident from air on the glass with angle of incidence '$$\th...

The radii of curvature of both the surfaces of a convex lens of focal length '\(\mathrm{f}\)' and focal power '\(\mathrm{P}\)' are equal. One of the surfaces is made plane by grinding. The new focal length and focal power of the lens is res...

White light consists of wavelengths from \(480 \mathrm{~nm}\) to \(672 \mathrm{~nm}\). What will be the wavelength range when white light is passed through glass of refractive index 1.6?

A monochromatic ray of light travels through glass slab and water column. The number of waves in glass slab of thickness \(4 \mathrm{~cm}\) is the same as in water column of height \(5 \mathrm{~cm}\). If refractive index of glass is $$\frac...

A ray of light is incident on one face of an equilateral glass prism having refractive index \(\sqrt{2}\). It produces the emergent ray which just. grazes along the adjacent face. The value of angle of incidence is $$\left(\sin 45^{\circ}=\...

A ray of light travels from air to water to glass and again from glass to air. Refractive index of water w.r.t. air is 'X', glass w.r.t. water is 'Y' and air w.r.t. glass is 'Z'. Which one of the following is correct?

The magnifying power of a refracting type of astronomical telescope is '\(\mathrm{m}\)'. If focal length of eyepiece is doubled then the magnifying power will become

A plano-convex lens of refractive index (\(\mu_1^{\prime}\) fits exactly into a plano-concave lens of refractive index \(\mu_2\). Their plane surface are parallel to each other. 'R' is the radius of curvature of the curved surface of the le...

'Circle of least confusion' refers to which one of the following defects occurring in images formed by mirrors or lenses?

The critical angle for light going from medium A into medium B is \(\theta\). The speed of light in the medium A is \(\mathrm{V}_{\mathrm{A}}\). What is the speed of light in the medium \(\mathrm{B}\) ?

A biconvex lens \(\left(R_1=R_2=30 \mathrm{~cm}\right)\) has focal length equal to the focal length of concave mirror. The radius of curvature of concave mirror is [Refractive index of material of lens \(=1.6\) ]

The critical angle for light going from medium '\(x\)' to medium '\(Y\)' is \(\theta\). The speed of light in medium '\(x\)' is '\(V\)' . The speed of light in medium '\(Y\)' is

An object is located on a wall, its image of equal size is to be obtained on a parallel wall with the help of a convex lens. The lens is placed at a distance '\(\mathrm{d}\)' in front of the second wall. The required focal length of the len...

A particle executes linear S.H.M.
The mean position of oscillation is at the principal axis of a convex lens of focal length \(8 \mathrm{~cm}\). the mean position of oscillation is at 14 cm from the lens with amplitude 1 cm. The amplitude o...

A glass cube of length \(24 \mathrm{~cm}\) has a small air bubble trapped inside. When viewed normally from one face it is \(10 \mathrm{~cm}\) below the surface. When viewed normally from the opposite face, its apparent distance is $$6 \mat...

A ray of light is incident at an angle 'I' on one face of thin prism. The ray emerges normally from the other face. Refractive index of the glass prism is '\(n\)' and angle of prism is '\(A\)'. The value of '\(\mathrm{I}\)' is

A convex lens is dipped in a liquid whose refractive index is equal to refractive index of lens material. Then its focal length will

The refractive index of glass is 1.5 and that of water is 1.33 . The critical angle for a ray of light going from glass to water is

A convex lens of focal length 'F' produces a real image 'n' times the size of the object. The image distance is

A ray of light travels from a denser medium to a rarer medium. The reflected and the refracted rays are perpendicular to each other. If '\(r\)' and '\(r_1\)' are the angle of reflection and refraction respectively and '\(\mathrm{C}\)' is th...

Inside a vessel filled with liquid a converging lens is placed as shown in figure. The lens has focal length \(15 \mathrm{~cm}\) when in air and has refractive index \(\frac{3}{2}\). If the liquid has refractive index \(\frac{9}{5}\), the f...

A convex lens of focal length \(\mathrm{T}\) is used to form an image whose size is one fourth that of size of the object. Then the object distance is

A ray of light is incident at an angle $i$ on one face of a thin angled prism. The ray emerges normally from the other face. Refractive inder of the glass prims is $n$ and angle of prism is $A$. The value of $i$ is

By increasing the aperture of the objective lens, wavelength of light, focal length of the objective lens and the resolving power of an astronomical telescope respectively

An object is clearly seen through an astronomical telescope of length 50 cm . The focal lengths of its objective and eye-piece respectively, can be

A ray of light is incident at an angle \(i\) on one face of prism of small angle \(A\) and emerges normally from the other surface. \(\mu\) is the refractive index of the material of the prism. The angle of incidence is

The magnifying power of a telescope is high, if its objective and eyepiece have respectively

A ray of light travelling through glass of refractive index \(\sqrt{2}\) is incident on glass-air boundary at an angle of incidence \(45^{\circ}\). If refractive index of air is 1 , then the angle of refraction will be $$\left[\sin 45^{\cir...

There are four convex lenses \(L_1, L_2, L_3\) and \(L_4\) of focal length \(2,4,6\) and 8 cm, respectively. Two of these lenses from a telescope of length 10 cm and magnifying power 4. The objective and eye lenses are respectively

Refractive index of the medium is \(\mu\) and wavelength is \(\lambda\), then which of the following proportionality relation is correct?

The refractive index of the material of crystal is 1.68 and that of castor oil is 1.2. When a ray of light passes from oil to glass, its velocity will change by a factor

The magnifying power of a telescope is nine. When it is adjusted for parallel rays, the distance between the objective and eyepiece is 20 cm . The focal length of objective and eyepiece are respectively

Glass has refractive index $\mu$ with respect to air and the critical angle for a ray of light going from glass to air is $\theta$. If a ray of light is incident from air on the glass with angle of incidence $\theta$, corresponding angle of...

The equi-convex lens has a focal length ' $f$ '. If the lens is cut along the line perpendicular to the principal axis and passing through the pole, what will be the focal length of any half part?

A telescope has large diameter of the objective. Then its resolving power is

A thin hollow prism of refracting angle $3^{\circ}$, filled with water gives a deviation of $1^{\circ}$. The refractive index of water is

The critical angle for light going from medium ' $x^{\prime}$ to medium ' $y$ ' is ' $\theta$ '. The speed of light in medium ' $x$ ' is ' $v_x$ '. The speed of light in medium ' $y$ ' is

A convex lens of focal length ' $f$ ' is placed in contact with a concave lens of the same focal length. The equivalent focal length of the combination is

When light enters glass from vacuum, then the wavelength of light