List of top Questions asked in AP EAPCET

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 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

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.

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

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 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

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 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 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

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

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:

The coefficient of friction between object and substance, if we need to move an object of weight \(150\ \text{N}\) on a horizontal surface with a force of \(75\ \text{N}\), is

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

Which of the following is the fundamental force in nature?

\(p\) and \(q\) are positive integers and \(n\lt r\lt m\). If the order and degree of the differential equation \[ \left( \frac{d^my}{dx^m}+\frac{d^ny}{dx^n} \right)^{p/q} = 5\frac{d^ry}{dx^r} \] are respectively \(4\) and \(3\), then

In a sports competition, a javelin is thrown at an angle \(45^\circ\), which recorded a range of \(90\text{ m}\). The maximum height reached by the javelin is
\[ \text{(Neglect air resistance and acceleration due to gravity }=10\text{ ms}^{-2}\text{)} \]

The equation for the trajectory of a projectile is \[ y=\left(\frac{x}{\sqrt{3}}-\frac{x^2}{60}\right)\text{ m} \] The velocity of projection of the projectile is
\[ (\text{Acceleration due to gravity }=10\ \text{ms}^{-2}) \]

The solution of \[ (1+y^2)\,dx-xy\,dy=0,\quad y(1)=0 \] represents a conic. Its eccentricity is

A particle moves along a straight line along the \(x\)-axis. Its position \((x)\) versus time \((t)\) graph is shown in the figure \([x \text{ in meters and } t \text{ in seconds}]\). Its average speed during the motion is:

If \[ \int \frac{dx}{x^{2022}(1+x^{2022})^{\frac{1}{2022}}} = -\frac{(1+x^m)^{\frac{n}{m}}}{nx^n}+C, \] then \(m-n=\)

Evaluate \[ \int_{0}^{\pi}\frac{x}{\sin x}\left(3\cos^2x+2\sin x+\sin^3x-3\right)\,dx \] is equal to:

If \([\,\cdot\,]\) represents greatest integer function, then \[ \int_{\frac{3\pi}{4}}^{\pi} \left[\sin x+\left[\frac{4x}{\pi}\right]\right]\,dx = \] is equal to:

Evaluate \[ \int_{0}^{\pi} \left( \cos^2\left(\frac{3\pi}{8}-\frac{x}{4}\right) - \cos^2\left(\frac{11\pi}{8}+\frac{x}{4}\right) \right)\,dx \] is equal to: