List of top Physics Questions asked in AIEEE

A car is fitted with a convex side-view mirror of focal length $20 \,cm$. A second car $2.5\, m$ behind the first car is overtaking the first car at a relative speed of $15 \,m / s$. The speed of the image of the second car as seen in the mirror of the first one is

In a Young's double slit experiment, the two slits act as coherent sources of waves of equal amplitude A and wavelength $\lambda$. In another experiment with the same arrangement the two slits are made to act as incoherent sources of waves of same amplitude and wavelength. If the intensity at the middle point of the screen in the first case is $I_1$ and in the second case is $I_2$, then the ratio $\frac{I_{1}}{I_{2}} $ is :

A beaker contains water up to a height $h_1$ and kerosene of height $h_2$ above water so that the total height of (water + kerosene) is $(h_1 + h_2)$. Refractive index of water is $\mu_{1}$ and that of kerosene is $\mu_{2}$. The apparent shift in the position of the bottom of the beaker when viewed from above is :

Two longitudinal waves given by equations : $y_1 (x, t) = 2a$ sin ($\omega t - kx$) and $y_2 (x, t)$ = a sin ($2\omega t - 2kx$) will have equal intensity. Intensity of waves of given frequency in same medium is proportional to square of amplitude only.

The transverse displacement $y(x, t)$ of a wave on a string is given by $y(x, t)=e^{-\left(a x^{2}+b t^{2}+2 \sqrt{a b} x t\right)}$ This represents a :

The respective number of significant figures for the numbers $23.023$, $0.0003$ and $2.1 \times 10^{-3}$ are

A thin semi-circular ring of radius $r$ has a positive charge $q$ distributed uniformly over it. The net field $\vec{E}$ at the centre $O$ is

A radioactive nucleus (initial mass number $A_o$ and atomic number Z) emits $3\, \alpha$-particles and $2\, positrons$. The ratio of number of neutrons to that of protons in the final nucleus will be

Let there be a spherically symmetric charge distribution with charge density varying as $\rho\left(r\right) = \rho_{0} \left(\frac{5}{4}-\frac{r}{R}\right)$ upto $r = R$, and $\rho \left(r\right) = 0$ for $r > R$, where r is the distance from the origin. The electric field at a distance $r\left(r < R\right)$ from the origin is given by

Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of $30^{\circ}$ with each other. When suspended in a liquid of density $0.8\, g\, cm^{-3}$, the angle remains the same. If density of the material of the sphere is $16\, g\, cm^{-3}$, the dielectric constant of the liquid is

Two fixed frictionless inclined plane making an angle $30^{\circ}$ and $60^{\circ}$ with the vertical are shown in the figure. Two block $A$ and $B$ are placed on the two planes. What is the relative vertical acceleration of $A$ with respect to $B$ ?

The potential energy function for the force between two atoms in a diatomic molecule is approximately given by $U\left(x\right) = \frac{a}{x^{12}} - \frac{b}{x^{6}}$, where a and b are constants and x is the distance between the atoms. If the dissociation energy of the molecule is $d = \left[U\left(x = \infty\right) - U_{at \,equilibrium}\right], D$ is

Gravitational acceleration on the surface of a planet is $\frac{ \sqrt{6}}{11}$ where g is the gravitational acceleration on the surface of the earth. The average mass density of the planet is 1/3 times that of the earth. If the escape speed on the surface of the earth is taken to be 11 kms$^{-1}$, the escape speed on the surface of the planet in kms$^{1}$ will be.

For a particle in uniform circular motion the acceleration $\vec{a}$ at a point $P\left(R,\,\theta\right)$ on the circle of radius $R$ is (here $\theta$ is measured from the x-axis)

A nucleus of mass $M + \Delta m$ is at rest and decays into two daughter nuclei of equal mass $\frac{M}{2}$ each. Speed of light is $c$ The speed of daughter nuclei is

In the circuit shown below, the key $K$ is closed at $t = 0$. The current through the battery is

Two long parallel wires are at a distance $2d$ apart. They carry steady equal current flowing out of the plane of the paper as shown. The variation of the magnetic field $B$ along the line $XX'$ is given by

A point $P$ moves in counter-clockwise direction on a circular path as shown in the figure. The movement of $'P'$ is such that it sweeps out a length $s = t^3 + 5$, where $s$ is in metres and $t$ is in seconds. The radius of the path is $20\, m$. The acceleration of $?P?$ when $t\, =\, 2\, s$ is nearly

A particle is moving with velocity $\vec{v} = k\left(y\hat{i} + x\hat{j}\right),$ where $k$ is a constant. The general equation for its path is

A nucleus of mass $M + \Delta m$ is at rest and decays into two daughter nuclei of equal mass $\frac{M}{2}$ each. Speed of light is c The binding energy per nucleon for the parent nucleus is $E_1$ and that for the daughter nuclei is $E_2$. Then

A charge $Q$ is placed at each of the opposite corners of a square. A charge $q$ is placed at each of the other two corners. If the net electrical force on $Q$ is zero, then the $Q/q $ equals

Two points $P$ and $Q$ are maintained at the potentials of $10\,V$ and $-4\,V$ respectively. The work done in moving $100$ electrons from $P$ to $Q$ is

A thin uniform rod of length $l$ and mass $m$ is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is $\omega$. Its centre of mass rises to a maximum height of