JEE Main Physics — Optics previous year questions with solutions.
The light rays from an object have been reflected towards an observer from a standard flat mirror, the image observed by the observer are :- A. Real B. Erect C. Smaller in size than object D. Laterally inverted Choose the most appropriate answer from the options given below:
An ice cube has a bubble inside. When viewed from one side the apparent distance of the bubble is $12\mathrm{cm}$. When viewed from the opposite side, the apparent distance of the bubble is observed as $4\mathrm{cm}$. If the side of the ice cube is $24\mathrm{cm}$, the refractive index of the ice cube is
Two vertical parallel mirrors $A$ and $B$ are separated by $10$ cm. $A$ point object $O$ is placed at a distance of $2\mathrm{cm}$ from mirror $A.$ The distance of the second nearest image behind mirror $A$ from the mirror $A$ is $_______\mathrm{cm}.$ 
When one light ray is reflected from a plane mirror with $30^{\circ}$ angle of reflection, the angle of deviation of the ray after reflection is:
In a single slit diffraction pattern the angular width of the central maximum is 0.1 rad...
In a medium the speed of light wave decreases to $0.2$ times to its speed in free space. The ratio of relative permittivity to the refractive index of the medium is $x:1$. The value of $x$ is ______. (Given speed of light in free space $=3\times {10}^{8}m{s}^{-1}$ and for the given medium ${\mu }_{r}=1$)
When a beam of white light is allowed to pass through convex lens parallel to principal axis, the different colours of light converge at different point on the principle axis after refraction. This is called :
The ratio of intensities at two points $P$ and $Q$ on the screen in a Young's double slit experiment where phase difference between two waves of same amplitude are $\frac{\pi }{3}$ and $\frac{\pi }{2}$, respectively are
Two transparent media having refractive indices $1.0$ and $1.5$ are separated by a spherical refracting surface of radius of curvature $30\mathrm{cm}$. The centre of curvature of surface is towards denser medium and a point object is placed on the principal axis in rarer medium at a distance of $15\mathrm{cm}$ from the pole of the surface. The distance of image from the pole of the surface is $\mathrm{cm}$.
An object is placed on the principal axis of convex lens of focal length $10\mathrm{cm}$ as shown. A plane mirror is placed on the other side of lens at a distance of $20\mathrm{cm}$. The image produced by the plane mirror is $5\mathrm{cm}$ inside the mirror. The distance of the object from the lens is ____ $\mathrm{cm}$. 
Unpolarised light is incident on the boundary between two dielectric media, whose dielectric constants are $2.8$ (medium –$1$) and $6.8$ (medium – $2$), respectively. To satisfy the condition, so that the reflected and refracted rays are perpendicular to each other, the angle of incidence should be ${\mathrm{tan}}^{-1}{(1+\frac{10}{\theta })}^{\frac{1}{2}}$, the value of $\theta$ is ______. (Given for dielectric media, ${\mu }_{r}=1$)
In Young's double slits experiment, the position of 5$^{th}$ bright fringe from the central maximum is $5\mathrm{cm}$. The distance between slits and screen is $1m$ and wavelength of used monochromatic light is $600\mathrm{nm}$. The separation between the slits is:
In a Young’s double slit experiment, the intensities at two points, for the path difference $\frac{\lambda }{4}$ and $\frac{\lambda }{3}$ ($\lambda$ being the wavelength of light used) are ${I}_{1}$ and ${I}_{2}$ respectively. If ${I}_{0}$ denotes the intensity produced by each one of the individual slits, then $\frac{{I}_{1}+{I}_{2}}{{I}_{0}}=______$.
A fish rising vertically upward with a uniform velocity of $8m{s}^{–1},$ observes that a bird is diving vertically downward towards the fish with the velocity of $12m{s}^{–1}.$ If the refractive index of water is $\frac{4}{3},$ then the actual velocity of the diving bird to pick the fish, will be$__________m{s}^{-1}.$ 
A vessel of depth $d$ is half filled with oil of refractive index ${n}_{1}$ and the other half is filled with water of refractive index ${n}_{2}.$ The apparent depth of this vessel when viewed from above will be-
A ray of light is incident from air on a glass plate having thickness $\sqrt{3}\mathrm{cm}$ and refractive index $\sqrt{2}$. The angle of incidence of a ray is equal to the critical angle for glass-air interface. The lateral displacement of the ray when it passes through the plate is $____\times {{10}^{-}}^{2}\mathrm{cm}$ . (given $\mathrm{sin}15^{\circ}=0.26$)
In an experiment for estimating the value of focal length of converging mirror, image of an object placed at $40\mathrm{cm}$ from the pole of the mirror is formed at distance $120\mathrm{cm}$ from the pole of the mirror. These distances are measured with a modified scale in which there are $20$ small divisions in $1\mathrm{cm}$. The value of error in measurement of focal length of the mirror is $\frac{1}{K}\mathrm{cm}$. The value of $K$ is ______.
A beam of light consisting of two wavelengths $7000\overset{o}{A}$ and $5500\overset{o}{A}$ is used to obtain interference pattern in Young's double slit experiment. The distance between the slits is $2.5\mathrm{mm}$ and the distance between the plane of slits and the screen is $150\mathrm{cm}$. The least distance from the central fringe, where the bright fringes due to both the wavelengths coincide, is $n\times {10}^{–5}m$. The value of $n$ is _____.
Two light waves of wavelengths $800$ and $600\mathrm{nm}$ are used in Young's double slit experiment to obtain interference fringes on a screen placed $7m$ away from plane of slits. If the two slits are separated by $0.35\mathrm{mm}$, then shortest distance from the central bright maximum to the point where the bright fringes of the two wavelength coincide will be ______ $\mathrm{mm}$.
A pole is vertically submerged in swimming pool, such that it gives a length of shadow $2.15m$ within water when sunlight is incident at an angle of $30^{\circ}$ with the surface of water. If swimming pool is filled to a height of $1.5m,$ then the height of the pole above the water surface in centimeters is $({n}_{w}=\frac{4}{3})________.$
An object is placed at a distance of $12\mathrm{cm}$ in front of a plane mirror. The virtual and erect image is formed by the mirror. Now the mirror is moved by $4\mathrm{cm}$ towards the stationary object. The distance by which the position of image would be shifted, will be
In a Young’s double slit experiment, the ratio of amplitude of light coming from slits is $2:1$. The ratio of the maximum to minimum intensity in the interference pattern is
The refractive index of a transparent liquid filled in an equilateral hollow prism is $\sqrt{2}$. The angle of minimum deviation for the liquid will be _______$^{\circ}$.
The width of fringe is $2\mathrm{mm}$ on the screen in a double slit experiment for the light of wavelength of $400\mathrm{nm}$. The width of the fringe for the light of wavelength $600\mathrm{nm}$ will be: