List of top Questions asked in AP EAPCET- 2023

The magnitude of the axial field due to a short bar magnet at a distance of 50 cm from its mid-point is

The threshold frequency of a photosensitive material is \( v \). When photons of frequency \( 2v \) incident on the material, photoelectrons are emitted with a maximum linear momentum \( P \). To get photoelectrons with maximum linear momentum \( 2P \), the frequency of the incident photons is

When a metal target is bombarded with high-energy electrons, the electromagnetic waves generated are

A uniform metal wire carries a current of 2 A when an ideal cell of 3.4 V is connected across it. The wire has mass \( 8.92 \times 10^{-3} \, \text{kg} \), density \( 8.92 \times 10^3 \, \text{kg/m}^3 \) and resistivity \( 1.7 \times 10^{-8} \, \Omega \text{m} \). Then the length of the wire is

A circular coil of 30 turns and radius 8 cm carrying a current of 6 A is suspended vertically in a uniform horizontal magnetic field of magnitude 1.0 T. The field lines make an angle of 30° with the normal of the coil. The magnitude of the counter torque that must be applied to prevent the coil from turning is

A parallel plate capacitor having capacity \( C_0 \) is charged to \( V_0 \). With battery disconnected, if the separation between the plates is doubled, then the energy stored in it is \( E_1 \). Instead if the separation between the plates is doubled, with battery in connection, the energy stored in it is \( E_2 \). Then the value of \( \frac{E_2}{E_1} \) is

Two resistances are connected in the two gaps of a meter bridge. The balancing point is obtained at 20 cm. When a resistance of \( 15 \, \Omega \) is connected in series with the smaller resistance of the two, the balancing point shifts to 40 cm. The value of smaller resistance is

The work done by a gas is maximum when it expands from a volume \( V_1 \) to \( V_2 \), then the expansion is

In a Carnot’s engine, as the gas gives heat energy to the sink, then the temperature of the sink

A diffraction pattern is obtained by using a beam of red light. If the red light is replaced by the blue light, then

The relation between the pressure (P), volume (V) and average kinetic energy (E) of a gas is

A rod is found to be 0.05 cm longer at 40°C than it is at 10°C. The length of the rod at 0°C is (coefficient of linear expansion of the material of the rod = \( 1.5 \times 10^{-5} \, \text{°C}^{-1} \))

The time taken for the amplitude of vibrations of a damped oscillator to drop to 25% of its initial value is \( t \). The time taken for its mechanical energy to drop to 50% of its initial mechanical energy is

A particle is executing simple harmonic motion. If the minimum time taken by the particle to move from extreme position to half of the amplitude is \( t_1 \), and the minimum time taken by the particle to move from mean position to half of the amplitude is \( t_2 \), then

Three particles of each mass \( m \) are kept at the three vertices of an equilateral triangle. If \( I_1 \) is the moment of inertia of the system of the particles about an axis along one side of the triangle and \( I_2 \) is the moment of inertia of the system of the particles about an axis along the perpendicular bisector of a side, then \( I_1 : I_2 \) is

Two bodies of masses \( m_1 \) and \( m_2 \) are dropped from two different heights \( h_1 \) and \( h_2 \) respectively. The ratio of the times taken by the two masses to touch the ground is (neglect air resistance)

The magnitude of the external force acting on moving bodies can be known directly by

A body of mass 10 g is tied to a string of length 0.4 m and it is whirled in a horizontal plane with a speed of 6 m/s. Then the tension in the string is

The integrating factor of the linear differential equation \( \frac{dy}{dx} = \frac{1}{4x + 3y} \) is

If a curve passes through (1, 2) and has the slope of its tangent \(1 - \frac{1}{x^2}\) at a point \((x, y)\), then the equation of that curve is

The differential equation having \( y = (a + b)e^{cx+d} \) as its general solution, where \( a, b, c, d \) are arbitrary constants, is

If \( u(n) = \int_0^{\frac{\pi}{2}} (1 + \sin t)^n \sin 2t \, dt,\; n \in \mathbb{N} \), then \( u(4) = \)

If \(\displaystyle \int \frac{3x+2}{4x^2+4x+5} \, dx = A \log(4x^2+4x+5) + B \tan^{-1} \left(x + \frac{1}{2}\right) + C\), then \((A, B) =\)

\(\displaystyle \int \frac{\sqrt{x^4 + x^{-4} + 2}}{x^3} dx =\)

Let \(A(1,15),\ B(3,-12),\ C(6,12)\) be three consecutive turning points of a continuous curve \(y = f(x)\). If \(f(x) = 0\) only for \(x = \alpha\) and \(x = \beta\), then \[ |\beta - \alpha| < ? \]