List of top Questions asked in AP EAPCET- 2023

The axial field \( B_A \) and equatorial field \( B_E \) due to a short bar magnet at equal distances are related as:
Total emf induced in a coil with \( N \) turns and changing magnetic flux \( \frac{d\phi_B}{dt} \) is:
A charge oscillating at 750 kHz produces EM waves of frequency:
In hydrogen spectrum, the shortest wavelengths of Lyman and Balmer series are $\lambda_1$ and $\lambda_2$ respectively. The Rydberg constant of hydrogen is
The particle having zero mass is
Electron of charge \( e \) moves in hydrogen atom (radius \( r \)). Coulomb force between nucleus and electron is:
(Here \( K = \frac{1}{4 \pi \varepsilon_0} \))
A parallel plate capacitor is filled with mica (thickness \(1 \times 10^{-3}\) m) and fiber (thickness \(0.5 \times 10^{-3}\) m). Dielectric constants: mica = 8, fiber = 2.5. If fiber breaks at \(6.4 \times 10^6 \, \text{V/m}\), max voltage is:
In the circuit with 6 V battery and resistors of 2Ω each, current is 2 A. Find potential at B with respect to A.
circuit with 6 V battery and resistors of 2 each
A flexible wire loop carrying current is placed in external magnetic field. Its shape becomes:
Distance moved by a charged particle in magnetic field (with parallel velocity component) in one rotation is:
A vessel withstands 100 atm. It's filled with hydrogen at 27°C (300 K) to 20 atm. Find temp. at which pressure becomes 100 atm.
The relation between absolute temperature (T) and pressure (P) in adiabatic process is:
If average KE of gas molecule at \( 27^\circ C \) is \( 3.3 \times 10^{-20} \, \text{J} \), find KE at \( 127^\circ C \):
A particle initially at the mean position is executing simple harmonic motion with an angular frequency \( \frac{\pi}{4} \, \text{rad/s} \). The ratio of the distances travelled by the particle in the first second and second second is:
A rectangular metallic block of size \( 40 \, \text{mm} \times 20 \, \text{mm} \) is pulled with a force of \( 50 \, \text{kN} \). The strain in the block is:
(Shear modulus \( = 40 \times 10^9 \, \text{Nm}^{-2} \))
A body moves with uniform speed of \( 20 \text{ ms}^{-1} \) in a horizontal circle. What is the change in velocity after half revolution?
Force is the mutual interaction between bodies according to:
A motor vehicle of mass 1000 kg is moving on a circular road having banking angle \( 30^\circ \) and coefficient of friction 0.2. Then the normal reaction force on the motor vehicle is about:
(Acceleration due to gravity = \( 10 \, \text{ms}^{-2} \))
A freely falling body has attained a velocity of \( 2 \, \text{ms}^{-1} \). If it is opposed by air resistance, total distance before stopping is:
If \( y = y(x) \) is the solution of the differential equation \[ x \frac{dy}{dx} = y + xe^{-\frac{y}{x}}, \quad y(1) = \log e \] , then \( y(e) = \)
The dimensional formula of a physical quantity represented by \( \frac{e^2}{4 \varepsilon_0 h} \) is:
Where \( e \) is the charge of the electron, \( \varepsilon_0 \) is the permittivity of free space, and \( h \) is Planck's constant.
If a person moving along a straight line covers the first half of the distance with velocity \( V_1 \) and the next half with velocity \( V_2 \), then the average velocity is:
A 2 kg stone is tied to a 2 m long string and whirled in a circle. If the maximum tension is 64 N, what is the max number of revolutions per minute?
If \[ f(x) = \lim_{n \to \infty} n^2 \left( \frac{1}{x^n} - \frac{1}{x^{n+1}} \right), x>0, \] then \[ \int x f(x) \, dx = ? \]
Evaluate the following integral: \[ \int \frac{1 - \cos x}{\cos x(1 + \cos x)} \, dx \]