Question 1 : At the time of minimum deviation the relation between 'a' and 'b' for any prism is -<br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e788277135d6370e9dc174f' height='67' width='132' >
Question 2 :
A simple telescope, consisting of an objective of focal length {tex}30 \mathrm { cm } {/tex} and a single eye lens of focal length {tex} 6 \mathrm { cm } . {/tex} Eye observes final image in relaxed condition. If the angle subtended on objective is {tex} 1.5 ^ { \circ } {/tex} then image will subtend angle of
Question 3 :
The plane faces of two identical plano-convex lenses each having a focal length of 50 cm are placed against each-other to form a usual convex lens. The distance from this lens combination at which an object must be placed to obtain a real, inverted image which has the same size as the object, is -
Question 4 :
The critical angle for a medium is {tex} 60 ^ { \circ } . {/tex} The refractive index of the medium is<br>
Question 5 :
The length of the optical path of two media in contact of length {tex} d _ { 1 } {/tex} and {tex} d _ { 2 } {/tex} of refractive indices {tex} \mu _ { 1 } {/tex} and {tex} \mu _ { 2 } {/tex} respectively, is
Question 6 :
In Young's double slit experiment, the phase difference between the light waves reaching third bright fringe from the central fringe will be {tex} ( \lambda = 6000 \mathrm { A }^{\circ}) {/tex}
Question 7 :
Two coherent monochromatic light beams of intensities {tex} l {/tex} and {tex} 4 l {/tex} are superposed. The maximum and minimum possible intensities in the resulting beam are
Question 8 : Focal length of a lens in air is f. Refractive index of the lens is μ. Focal length changes to f<sub>1</sub> if lens is immersed in a liquid of refractive index<img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e788255a6b42b703af28843' height='36' width='15' > and it becomes f<sub>2</sub> if the lens is immersed in a liquid of refractive index 2μ. Then -
Question 9 :
Two lenses of power {tex} - 15 D {/tex} and {tex} + 5 D {/tex} are in contact with each other. The focal length of the combination is
Question 10 :
The wavelength of light visible to eye is of the order of
Question 12 :
A plane mirror makes an angle of 30<sup>0</sup> with horizontal. If a vertical ray strikes the mirror, find the angle between mirror and reflected ray
Question 13 : At what angle of incidence will the light reflected from glass <br>(<img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e788145135d6370e9dc1548' height='21' width='48' >) be completely polarized :
Question 14 :
An object of height {tex} 1.5 \mathrm { cm } {/tex} is placed on the axis of a convex lens of focal length {tex} 25 \mathrm { cm } . \mathrm { A } {/tex} real image is formed at a distance of {tex} 75 \mathrm { cm } {/tex} from the lens. The size of the image will be
Question 15 :
A convex lens has {tex} 9 \mathrm { cm } {/tex} focal length and a concave lens has {tex} - 18 \mathrm { cm } {/tex} focal length. The focal length of the combination in contact will be
Question 16 :
A ray of light incidents on a plane mirror at an angle of {tex} 30 ^ { \circ } . {/tex} The deviation produced in the ray is
Question 17 :
A plane mirror makes an angle of {tex} 30 ^ { \circ } {/tex} with horizontal. If a vertical ray strikes the mirror, find the angle between mirror and reflectedray
Question 18 :
The idea of the quantum nature of light has emerged in an attempt to explain
Question 19 :
A plano convex lens {tex} ( f = 20 \mathrm { cm } ) {/tex} is silvered at plane surface. Now {tex} f {/tex} will be<br>
Question 20 :
A convex lens of focal length {tex} 40 \mathrm { \ cm } {/tex} is in contact with a concave lens of focal length {tex} 25 \mathrm { \ cm } . {/tex} The power of combination is
Question 21 :
An astronomical telescope has a converging eyepiece of focal lengths 5 cm and objective of focal lengths 80 cm. When the final image is formed at the least distance of distinct vision (25 cm), the separation between the two lenses is-
Question 22 :
For a prism, its refractive index is cot A/2. Then minimum angle of deviation is -
Question 23 : A ray of light passes through four transparent media with refractive indices {tex} \mu _ { 1 } , \mu _ { 2 } , \mu _ { 3 } , {/tex} and {tex} \mu _ { 4 } {/tex} as shown in the Fig. The surfaces of all media are parallel. If the emergent ray {tex} C D {/tex} is parallel to the incident ray {tex} A B , {/tex} then<br><img style='object-fit:contain' src="https://s3.ap-south-1.amazonaws.com/me-p/5eee0b0d97c31b19a3d282f0.jpg" />
Question 24 :
An object is at a distance of {tex} 0.5\ \mathrm { m } {/tex} in front of a plane mirror. Distance between the object and image is
Question 26 :
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 positions 40 cm apart. The power of the lens is nearly
Question 27 :
An object is placed in front of a convex mirror at a distance of {tex} 50 \mathrm { cm }. {/tex} A plane mirror is introduced covering the lower half of the convex mirror. If the distance between the object and the plane mirror is {tex} 30 \mathrm { cm } , {/tex} there is no parallax between the images formed by the two mirrors. The radius of curvature of the convex mirror {tex} ( \text { in } \mathrm { cm } ) {/tex} is
Question 28 :
The light ray is incident at angle of {tex} 60 ^ { \circ } {/tex} on a prism of angle {tex} 45 ^ { \circ } . {/tex} When the light ray falls on the other surface at {tex} 90 ^ { \circ } , {/tex} the refractive index of the material of prism {tex} \mu {/tex} and the angle of deviation {tex} \delta {/tex} are given by
Question 29 : A light ray falls on a square slab at an angle {tex} 45 ^ { \circ } . {/tex} What must be the minimum index of refraction of glass, if total internal reflection takes place at the vertical face?<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5d5bb2485637834a588986e3"><br>
Question 30 : In a converging lens of focal length <em>f</em> and the distance between real object and its real image is 4<em>f</em>. If the object moves <em>x</em><sub>1</sub> distance towards lens its image moves <em>x</em><sub>2</sub> distance away from the lens and when object moves <em>y</em><sub>1</sub> distance away from the lens its image moves <em>y</em><sub>2</sub> distance towards the lens, then choose the correct option <img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16c83bbfef6349df010027"/>
Question 31 : A point source of light <em>B</em> is placed at a distance <em>L</em> in front of the centre of a mirror of width <em>d</em> hung vertically on a wall. A man walks in front of the mirror at a distance 2<em>L</em> from its as shown. The greatest distance over which he can see the image of the light source in the mirror is <br> <img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16c84df1a5a149feab9c21"/>
Question 32 :
A thin film of thickness {tex} t {/tex} and index of refraction {tex}1.33{/tex} coats a glass with index of refraction {tex} 1.50 . {/tex} Which of the following thickness {tex} t {/tex} will not reflect normally incident light with wavelength {tex} 640 \mathrm { nm } {/tex} in air?<br>
Question 33 : An equiconvex lens made up of a material of refractive index 1.5 has focal length of 10 cm when placed in air as shown in the figure. One side of the medium is replaced by another medium of refractive index 1.3. If <em>X</em> and <em>Y</em> are the image distances when the object is placed at a distance of 20cm from optical centre in the medium with refractive index 1 and 1.3 respectively, then <img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16c868bfef6349df01005d"/>
Question 34 :
For a concave mirror of focal length 20 cm, if the object is at a distance of 30 cm from the pole, then the nature of the image and its magnification will be
Question 35 :
A convex lens {tex} A {/tex} of focal length 20{tex} \mathrm { cm } {/tex} and a concave lens {tex} B {/tex} of focal length 5{tex} \mathrm { cm } {/tex} are kept along the same axis with a distance {tex} d {/tex} between them. If a parallel beam of light falling on {tex} A {/tex} leaves {tex} B {/tex} as a parallel beam, then the distance {tex} d {/tex} in {tex} \mathrm { cm } {/tex} will be
Question 36 :
For the same angle of incidence, the angles of refractive in media '$P$', '$Q$', '$R$' and '$S$' are ${ 50 }^{ o },{ 40 }^{ o },{ 30 }^{ o },{ 20 }^{ o }$ respectively. The speed of light is minimum in medium
Question 37 :
A car is fitted with a convex side-view mirror of focal length {tex} 20 \mathrm { cm } . {/tex} A second car {tex}2.8 \mathrm { m } {/tex} behind the first car is overtaking the first car at a relative speed of {tex}15\, \mathrm { m } / \mathrm { s } {/tex} . The speed of the image of the second car as seen in the mirror of the first one is:
Question 38 :
A point source of electromagnetic radiation has an average power output of {tex} 800 \mathrm { W } {/tex}. The maximum value of electric field at a distance {tex} 4.0 \mathrm { m } {/tex} from the source is
Question 39 : In the given situation, for what value of <em>i,</em> the incidence ray will retrace its initial path <img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16c851bfef6349df01003e"/>
Question 40 :
The refractive index if water is $4/3$. What would be the speed of light in it?
Question 41 :
A ray of light enters into a transparent liquid from air as shown in the figure. The refractive index of the liquid varies with depth <em>x</em> from the topmost surface as {tex}V_{m}\text{'=}\frac{\sigma}{\varepsilon_{0}}\left\{ (d + d\prime) - t + \frac{t}{K} \right\}{/tex}<em>x</em> where <em>x</em> in meters. The depth of the liquid medium is sufficiently large. The maximum depth reached by the ray inside the liquid is <em>V</em><sub>air</sub> = <em>V</em><sub><em>m</em></sub>′
Question 42 :
In the visible region of the spectrum the rotation of the place of polarization is given by {tex} \theta = a + \frac { b } { \lambda ^ { 2 } } . {/tex} The optical rotation produced by a particular material is found to be {tex} 30 ^ { \circ } {/tex} per {tex} m m {/tex} at {tex} \lambda = 5000 \mathrm { A } {/tex} and {tex} 50 ^ { \circ } {/tex} per {tex} \mathrm { mm } {/tex} at {tex} \lambda = 4000 \mathrm { A } {/tex}. The value of constant a will be
Question 43 :
A spherical surface of radius of curvature {tex} R {/tex} separates air (refractive index 1.0{tex} ) {/tex} from glass (refractive index 1.5.) The centre of curvature is in the glass. A point object {tex} P {/tex} placed in air is found to have a real image {tex} Q {/tex} in the glass. The line {tex} P Q {/tex} cuts the surface at a point {tex} O {/tex}, and {tex} P O = O Q . {/tex} The distance {tex} P O {/tex} is equal to
Question 44 : Light is incident normally on face {tex} A B {/tex} of a prism as shown in Fig. A liquid of refractive index {tex} \mu {/tex} is placed on face {tex} A C {/tex} of the prism. The prism is made of glass of refractive index {tex} 3 / 2 . {/tex} The limits of {tex} \mu {/tex} for which total internal reflection cannot takes place on face {tex} A C {/tex} is<br><br> <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e8acd07fe2ff92479fb1880' class="uploaded-image" />
Question 45 : A light ray is incident upon a prism in minimum deviation position and suffers a deviation of {tex} 34 ^ { \circ } . {/tex} If the shaded half of the prism is knocked off, the ray will<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5d5bb28d5637834a58898721"><br>
Question 46 :
The angle which the __________ makes with the normal at the point of incidence is called angle of incidence.<br/>
Question 47 :
Air has refractive index $1.0003$. Find the thickness of air column which will contain one more wavelength of yellow light of $6000$ $A^0$ than in same thickness of vacuum.
Question 48 :
If refractive index of a slab varies as $m = 1 + x^2$ is measured from one end, then optical path length of a slab of thickness 1 m is
Question 49 :
The refractive index of a certain glass is $1.5$ for light where wavelength in vacuum is $6000 A^o V$ The wavelength of this light when it passes through the glass is ___________.
Question 50 :
The refractive indices of four substances W, X, Y, Z are $1.20, 1.77, 1.36, 1.50$ respectively. When light passes from air into these materials, it refracts maximum in<br/>
