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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:
Two large, thin metal plates are parallel and close to each other. On their inner faces, the plates have surface charge densities of opposite signs and of magnitude $17.0 \times 10^{-22} \, \text{C/m}^2$. The electric field between the plates 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:
The dimensions of $(\mu_0\varepsilon_0)^{-1/2}$ are:
In a p-n junction diode, the change in temperature due to heating:
If a body is moving in a circle of radius $r$ with a constant speed $v$, its angular velocity is:
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:
Which set of colours would be observed in the air under the conditions depicted in the figure?
In total internal reflection when the angle of incidence is equal to the critical angle for the pair of media in contact, what will be the angle of refraction?
The ratio of contributions made by the electric field and magnetic field components to the intensity of an electromagnetic wave is : (c = speed of electromagnetic waves)
The figure shows a logic circuit with two inputs $A$ and $B$ and the output $C$. The voltage waveforms across $A$, $B$ and $C$ are as given. The logic circuit gate is: