List of top Questions asked in AP EAPCET

The particle having zero mass 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
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 flexible wire loop carrying current is placed in external magnetic field. Its shape becomes:
The relation between absolute temperature (T) and pressure (P) in adiabatic process 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.
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 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 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:
Force is the mutual interaction between bodies according to:
A body moves with uniform speed of \( 20 \text{ ms}^{-1} \) in a horizontal circle. What is the change in velocity after half revolution?
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 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?
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 \( y = y(x) \) is the solution of the differential equation \[ x \frac{dy}{dx} = y + xe^{-\frac{y}{x}}, \quad y(1) = \log e \] , then \( y(e) = \)
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: \[ \int \frac{1 - \cos x}{\cos x(1 + \cos x)} \, dx \]
If \( g(x) \) is an antiderivative of \( f(x) = 1 + 2 \log 2 \) and the graph of \( y = g(x) \) passes through the point \( \left( -1, -\frac{1}{2} \right) \), then the curve meets the Y-axis at
The area bounded by the curves \( y = x^2 \) and \( y - 6 = -|x| \) is:
Evaluate the integral \[ \int \frac{dx}{(2ax + x^2)^{3/2}} \]
If \( \theta \) is the angle made by the normal drawn to the curve \[ x = e^t \cos t, \quad y = e^t \sin t \] at the point \( (1, 0) \) with the X-axis, then \( \theta = \):
If a normal drawn at a point \( P \) to the curve \( y = \sin x \) passes through the origin, then the locus of \( P \) is:
An extreme value of \( f(x) = \frac{4}{\sin x} + \frac{1}{1 - \sin x} \) in \( (0, \frac{\pi}{2}) \) is:
If the tangent drawn to the curve \( y = x^3 \) at point \( (\alpha, \beta) \) cuts again the curve at another point \( (\alpha_1, \beta_1) \), then \( \frac{\beta_1}{\beta} = \):
If a normal drawn to the ellipse \[ \frac{x^2}{4} + \frac{y^2}{3} = 1 \] touches the hyperbola \[ \frac{x^2}{4} - \frac{y^2}{3} = 1, \] then the square of the slope of that normal is: