List of top Questions asked in AP EAPCET

In which of the following, the elements Al, B, Mg, and K are correctly arranged in the increasing order of their metallic character?

The number of valence electrons present in an element with atomic number 117 is:

A plane electromagnetic wave of frequency \(50 \, \text{MHz}\) travels in free space. If the average energy densities in the electric and magnetic fields are \(K_E\) and \(K_B\), then:

The values of \( Y \) and \( Z \) in the given logic circuit are:

The ratio of radii of 3rd and 6th Bohr’s orbits in a hydrogen atom is:

A short bar magnet placed with its axis at \(45^\circ\) with a uniform external magnetic field of \(28.3 \times 10^{-3} \, \text{T}\) experiences a torque of magnitude \(3.6 \times 10^{-5} \, \text{J}\). The magnitude of magnetic moment of the magnet is nearly:

The quantities that don’t change when a resistor connected to a battery is heated due to the current are:

A battery with a \(12\,\text{V}\) emf has an initial charge of \(80\,\text{A·h}\). If the potential across the terminals remains constant until it is fully discharged, how long can the battery deliver energy at a rate of \(120\,\text{W}\)?

A \(70 \, \text{mH}\) inductor is connected to a \(220 \, \text{V}, 50 \, \text{Hz}\) AC supply. The RMS value of the current in the circuit is:

An isosceles triangular current-carrying loop is kept perpendicularly in a uniform magnetic field \( \vec{B}_0 \) as shown in the figure. The force on the loop due to magnetic field is:

A charged particle is moving in a uniform magnetic field and enters a lead layer, losing half of its kinetic energy. The radius of curvature of its path becomes:

A metal loop of area \(10 \, \text{cm}^2\) is placed in a region such that its area vector points along \( \hat{k} \). The region contains a uniform magnetic field of magnitude \(1.73 \, \text{T}\) that points in the direction \( \hat{i} + \hat{j} + \hat{k} \). When the magnetic field is switched off, the field decreases to zero at a steady rate in 10 seconds. The magnitude of emf induced in the loop is:

Electric potential due to a space is given by: \[ \phi(x, y, z) = \phi_0 \cdot \frac{x_0}{x} \] where \( x_0 = 5\,\text{m}, \phi_0 = 8\,\text{V} \). Find the electric field at the point (10 m, 5 m, 5 m).

Among the following, the equation representing a progressive wave is:

A charge \( Q \) is to be divided between two objects. The values of the charges on the objects so that the electrostatic force between them will be maximum is:

In a space having electric field \( \vec{E} = A(x\hat{i} + y\hat{j}) \), the potential at point (10 m, 20 m) is zero. Then the potential at the origin is: (Given \( A = 10 \, \text{Vm}^{-2} \))

A beam of light reflects and refracts at the surface between air and glass. The index of refraction of the glass is \(1.4\). If the refracted and reflected rays are perpendicular to each other, then the angle of incidence in the air is:

A Carnot engine operating between temperatures \( T_H = 600\,K \) and \( T_C = 300\,K \), absorbs \( Q_H = 800 \, \text{J} \) of heat from the source. The mechanical work done per cycle is:

A force $\vec{F} = 4\hat{i} - 15\hat{j}$ N acts on a body resulting in a displacement of $6\hat{i}$. If the body had kinetic energy of 7 joules at the beginning of the displacement, the kinetic energy at the end of the displacement is

Consider a force $F = K x^3$ which acts on a particle at rest. The work done by the force for the displacement of 2 m is ($K = 2 \, \text{N m}^{-3}$)

The centre of mass of a homogeneous semi-circular plate of radius $r$ is located at A as shown in the figure. The distance $OA$ is

An object of mass 3 kg is tied by a string of negligible mass to a ceiling and held such that the string is taut. The object is released suddenly such that the string remains taut. It’s acceleration when released is (acceleration due to gravity = 10 m s$^{-2}$)

The dot product of unit vectors $\hat{n}_1$ and $\hat{n}_2$ that are parallel to $5\hat{i} + 12\hat{j}$ and $3\hat{i} + 4\hat{j}$ respectively is

A sphere rolls down from the top of an inclined plane which makes an angle $30^\circ$ with the edge of a horizontal roof of a house. If the highest and lowest points of the inclined plane are 8.75 m and 3.75 m respectively from the ground then the horizontal distance from the lower edge of the roof at which the sphere hits the ground is (acceleration due to gravity = 10 m s$^{-2}$)

At the moment $t = 0$, a time dependent force $F = at$ (where $a$ is constant equal to 1 N s$^{-1}$) is applied on a body of mass 1 kg resting on a smooth horizontal plane as shown in the figure. If the direction of this force makes an angle $45^\circ$ with the horizontal, then the velocity of the body at the moment it leaves the plane is (acceleration due to gravity = 10 m s$^{-2}$)