List of top Questions asked in AP EAPCET- 2022

A long current carrying wire produces a magnetic field of \(1\ \text{T}\) at a distance \(r\). The magnetic field at
\[ (a)\ \frac{r}{2}, \qquad (b)\ 2r, \qquad (c)\ 3r \] is

The value of current through the \(5\ \Omega\) resistor of the given circuit is

A vibration magnetometer is used at two different places \(A\) and \(B\) on the earth. The time period of a magnet suspended freely in the magnetometer at \(A\) is twice that at \(B\). If the horizontal component of the earth's magnetic field at \(B\) is \(32\times 10^{-6}\ \text{T}\), then its value at \(A\) is

Let \(V_1\) be the potential at the center of the square of side \(1\text{ m}\) when the charges at the \(4\) corners are \(2\text{ C}\) each. If the same charges are placed at the corners of a square of side \(2\text{ m}\), then the potential at the center of this square is \(V_2\). The value of \(\frac{V_2}{V_1}\) is

A concave lens and a convex lens are arranged as shown in the figure. The position of the final image is:

Two coherent sources \(O_1\) and \(O_2\) in Young's double slit experiment are illuminated with monochromatic light of wavelength \(5000\ \text{\AA}\). If a second order dark fringe is formed at a point \(R\) on the screen, the path difference \[ O_1R \sim O_2R \] is

A wire of length \(L\) has a charge \(Q\) distributed uniformly along its length. The wire is bent in the shape of a semicircle. The magnitude of the electric field at the centre of curvature of the semicircle is

An infinite non-conducting sheet has a surface charge density of \[ 7\times 10^{-7}\ \text{C m}^{-2} \] on one side. The distance between equipotential surfaces whose potentials differ by \(19.8\ \text{V}\), will be
\[ \left(\frac{1}{4\pi\varepsilon_0}=9\times 10^9\ \text{SI units}\right) \]

In the given figure: \[ V_1=V,\quad V_2=\alpha V,\quad R_1=\beta R,\quad R_2=\gamma R, \] where \(\alpha,\beta,\gamma\) are positive real numbers. The value of current \(I\) is

A vessel containing nitrogen gas is supplied a heat of \(498\text{ J}\), so as to raise the temperature of the gas by \(40^\circ\text{C}\) at constant pressure. The mass of nitrogen gas in the vessel is
\[ \text{(Molecular mass of nitrogen }=28\text{ g; Universal gas constant }=8.3\text{ J mol}^{-1}\text{K}^{-1}\text{)} \]

A point mass oscillates along x-axis according to \[ x=x_0\sin\left(\omega t-\frac{\pi}{6}\right) \] If the acceleration of the point mass is written as \[ a=A\sin(\omega t+\delta), \] then

A string of length \(1\text{ m}\) and mass \(490\text{ g}\) is put under a tension of \(25\text{ N}\). A wave of frequency \(120\text{ Hz}\) is sent along it. The speed of this wave is

Consider two liquids \(A\) and \(B\) in a U-shaped tube in static equilibrium as shown in the figure. If the density of the liquid \(A\) is twice the density of liquid \(B\), then the relation between \(h_A\) and \(h_B\) is

Assertion (A): When a uniform metallic rod rotating about perpendicular bisector with constant angular speed is heated uniformly to raise its temperature slightly, its speed of rotation increases.
Reason (R): When a metal rod is heated uniformly to raise its temperature slightly, its moment of inertia increases.

A gas in a closed container undergoes the cycle \(ABCA\) as shown in the figure. The net heat released by the gas after it has undergone \(20\) cycles is

A point mass of \(400\ \text{g}\) executes S.H.M. under a force \[ F=-(10\ \text{Nm}^{-1})x \] If it crosses the centre of oscillation with a speed of \(10\ \text{ms}^{-1}\), the amplitude of motion is:

A particle executes simple harmonic motion with a time period \(0.6\text{ s}\) and amplitude \(10\text{ cm}\). Then the mean velocity of the particle over the time interval during which it travels a distance \(5\text{ cm}\) starting from the equilibrium position is

The orbital period of a geostationary satellite is

A cylindrical metal box whose flat surface has an area of \(0.01\text{ m}^2\) rests on liquid of \(0.3\text{ mm}\) thickness. If upon applying a horizontal force of magnitude \(\frac{1}{3}\text{ N}\), the box slides with a constant speed of \(0.09\text{ m s}^{-1}\), the coefficient of viscosity of the liquid is nearly

The elastic limit of a metal is \[ \frac{400}{\pi}\text{ MPa}. \] If a rod of this metal is to support a \(484\text{ N}\) load without exceeding its elastic limit, the minimum diameter of the rod is

Two position vectors are given by \[ \vec{r}_1=(1,1,1) \] and \[ \vec{r}_2=(1,-1,1) \] The unit vector in the direction of \[ \vec{r}_1\times \vec{r}_2 \] is

The coefficient of static friction between the road and tyres of a car is \(0.4\). The maximum permissible speed of the car is \(10\text{ ms}^{-1}\) on a curved unbanked road. Then the maximum radius of curvature of the road is
\[ \text{(acceleration due to gravity }=10\text{ ms}^{-2}\text{)} \]

A force of \(10\text{ N}\) acting at an angle on a particle produces a displacement of \[ (3\hat{i}-4\hat{j})\text{ m} \] due to this force. If the kinetic energy of the particle is decreased by \(25\text{ J}\), then the angle between the force and the displacement is

A fan is rotating with an angular speed \(300\ \text{rpm}\). The fan is switched off, and it takes \(80\ \text{s}\) to come to rest. Assuming constant angular deceleration, the number of revolutions made by the fan before it comes to rest is:

A body of mass \(0.6\text{ kg}\) is moving along a circular path of radius \(1\text{ m}\). If the body moves with \[ \frac{900}{\pi} \] revolutions per minute, its kinetic energy is