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Which of the following is not due to total internal reflection?
A car is negotiating a curved road of radius $R$. The road is banked at an angle $\theta$. The coefficient of friction between the tyre of the car and the road is $\mu_s$. The maximum safe velocity on this road is:
The given electrical network is equivalent to:
An astronomical refracting telescope will have large angular magnification and high angular resolution when it has an objective lens of:
For the given circuit, the input digital signals are applied at the terminals A, B and C. What would be the output at terminal Y?
A light ray falls on a glass surface of refractive index $\sqrt{3}$, at an angle of $60^{\circ}$. The angle between the refracted and reflected rays would be:
A convex lens A of focal length $20\text{ cm}$ and a concave lens B of focal length $5\text{ cm}$ are kept along the same axis with the distance $d$ between them. If a parallel beam of light falling on A leaves B as a parallel beam, then distance $d$ in cm will be:
Given below are two statements: Statement A: A Zener diode is connected in reverse bias when used as a voltage regulator. Statement B: The potential barrier of p-n junction lies between 0.2 V to 0.3 V.
If $x = 5 \sin(\pi t + \frac{\pi}{3}) \text{ m}$ represents the motion of a particle executing simple harmonic motion, the amplitude and time period of motion, respectively are:
A biconvex lens of refractive index 1.5, has a radius of curvature of magnitude $20\text{ cm}$. Which one of the following options describes best the image formed of an object of height $2\text{ cm}$ placed $30\text{ cm}$ from the lens?
A ray of light is incident on a $60^{\circ}$ prism at the minimum deviation position. The angle of refraction at the first face (i.e., incident face) of the prism is:
A converging beam of rays is incident on a diverging lens. Having passed though the lens the rays intersect at a point $15\text{ cm}$ from the lens on the opposite side. If the lens is removed the point where the rays meet will move $5\text{ cm}$ closer to the lens. The focal length of the lens is:
A p-type extrinsic semiconductor is obtained when Germanium is doped with:
In a Rutherford scattering experiment when a projectile of charge Z₁ and mass M₁ approaches a target nucleus of charge Z₂ and mass M₂ the distance of the closest approach is r₀. What is the energy of the projectile?
To get output Y = 1 for the following circuit, the correct choice for the input is:
The output ($X$) of the logic circuit shown in the figure will be:
An observer is using an astronomical refracting telescope to observe planets in normal adjustment. The focal lengths of the objective and eyepiece used in the telescope construction are $20 \text{ m}$ and $2 \text{ cm}$ respectively. Consider the following statements about the telescope: (A) The distance between the objective and the eyepiece is $20.02 \text{ m}$. (B) The magnification of the telescope is $-1000$. (C) The image of the planet is erect and diminished. (D) The aperture of the eyepiece is smaller than that of the objective. The correct statements are:
An air bubble in a glass slab with refractive index 1.5 (near normal incidence) is $5\text{ cm}$ deep when viewed from one surface and $3\text{ cm}$ deep when viewed from the opposite face. The thickness (in cm) of the slab is:
Two similar thin equi-convex lenses, of focal length $f$ each, are kept coaxially in contact with each other such that the focal length of the combination is $F_1$. When the space between the two lenses is filled with glycerin which has the same refractive index as that of glass ($\mu = 1.5$), then the equivalent focal length is $F_2$. The ratio $F_1 : F_2$ will be:
In an astronomical telescope in normal adjustment, a straight black line of length $L$ is drawn on the inside part of the objective lens. The eye-piece forms a real image of this line. The length of this image is $l$. The magnification of the telescope is: