Geometrical Optics — JEE Advanced PYQs

A biconvex lens of focal length 15 cm is in front of a plane mirror. The distance between the lens and the mirror is 10 cm. A small object is kept at a distance of 30 cm from the lens. The final image is

Image of an object approaching a convex mirror of radius of curvature 20 m along its optical axis is observed to move from $\frac{25}{3}\mathrm{m}$ to $\frac{50}{7}\mathrm{m}$ in 30 seconds. What is the speed of the object in km per hour ?

A large glass slab $(\mu =5/3)$ of thickness 8 cm is placed over a point source of light on a plane surface. It is seen that light emerges out of the top surface of the slab from a circular area of radius $R\mathrm{cm}$. What is the value of $R$ ?

Two transparent media of refractive indices ${\mu }_1$ and ${\mu }_3$ have a solid lens shaped transparent material of refractive index ${\mu }_2$ between them as shown in figures in Column II. A ray traversing these media is also shown in the figures. In Column I different relation …

A ball is dropped from a height of 20 m above the surface of water in a lake. The refractive index of water is 4/3. A fish inside the lake, in the line of fall of the ball, is looking at the ball. At an instant, when the ball is 12.8 m above the water surface, the fish sees the s …

A student performed the experiment of determination of focal length of a concave mirror by u-v method using an optical bench of length 1.5 meter. The focal length of the mirror used is 24 cm . The maximum error in the location of the image can be 0.2 cm. The 5 sets of (u, v) valu …

Two beams of red and violet colours are made to pass separately through a prism (angle of the prism is $60^{\circ }$ ). In the position of minimum deviation, the angle of refraction will be

A light beam is traveling from Region I to Region IV (Refer Figure). The refractive index in Regions I, II, III and IV are $n_0$, $\frac{n_0}{2}$, $\frac{n_0}{6}$ and $\frac{n_0}{8}$, respectively. The angle of incidence $\theta$ for which the beam just misses entering Re …

In an experiment to determine the focal length $(f)$ of a concave mirror by the $u-v$ method, a student places the object pin A on the principal axis at a distance $x$ from the pole P. The student looks at the pin and its inverted image from a distance keeping his/her eye i …

A ray of light traveling in water is incident on its surface open to air. The angle of incidence is $\theta$, which is less than the critical angle. Then there will be

STATEMENT-1
The formula connecting $u,v$ and $f$ for a spherical mirror is valid only for mirrors whose sizes are very small compared to their radii of curvature.
because
STATEMENT-2
Laws of reflection are strictly valid for plane surfaces, but not for large spherical surfac …

A biconvex lens of focal length f forms a circular image of sun of radius r in focal plane. Then

Graph of position of image vs position of point object from a convex lens is shown. Then, focal length of the lens is

A simple telescope used to view distant objects has eyepiece and objective lens of focal lengths $f_e$ and $f_0$, respectively. Then
| (B) Angular magnificatio …