List of top Questions asked in TS EAMCET

The pressure of a mixture of 64 g of oxygen, 28 g of nitrogen and 132 g of carbon dioxide gases in a closed vessel is P. Under isothermal conditions if entire oxygen is removed from the vessel, the pressure of the mixture of remaining two gases is

A force separately produces accelerations of 18 ms⁻², 9 ms⁻² and 6 ms⁻² in three bodies of masses P, Q and R respectively. If the same force is applied on a body of mass P+Q+R, then the acceleration of that body is

A body of mass 'm' moving with a velocity of 'v' collides head on with another body of mass '2m' at rest. If the coefficient of restitution between the two bodies is 'e', then the ratio of the velocities of the two bodies after collision is

A thin uniform circular disc of mass \(\frac{10}{\pi^2}\) kg and radius 2 m is rotating about an axis passing through its centre and perpendicular to its plane. The work done to increase the angular speed of the disc from 90 rev/min to 120 rev/min is

A solid cylinder of mass 2 kg, length 40 cm and radius 10 cm is placed in contact with a solid sphere of mass 0.5 kg and radius 10 cm such that the centres of the two bodies lie along the geometrical axis of the cylinder. The distance of the centre of mass of the system of two bodies from the centre of the sphere is

If the amplitude of a damped harmonic oscillator becomes half of its initial amplitude in a time of 10 s, then the time taken for the mechanical energy of the oscillator to become half of its initial mechanical energy is

The differential equation of a family of hyperbolas whose axes are parallel to coordinate axes, centres lie on the line $y=2x$ and eccentricity is $\sqrt{3}$ is

The general solution of the differential equation $(x^3-y^3)dx = (x^2y-xy^2)dy$ is

The phenomenon of physics that deals with the constitution and structure of matter at the minute scales of atoms and nuclei is

If the length of a rod is measured as 830600 mm, then the number of significant figures in the measurement is

A particle initially at rest is moving along a straight line with an acceleration of 2 ms⁻². At a time of 3 s after the beginning of motion, the direction of acceleration is reversed. The time from the beginning of the motion in which the particle returns to its initial position is

If a body projected with a velocity of 19.6 ms⁻¹ reaches a maximum height of 9.8 m, then the range of the projectile is (Neglect air resistance)

$\int e^x(x^3-2x^2+3x-4)dx =$

$\int(1+\tan^2 x)(1+2x\tan x)dx =$

$\int \frac{x\text{Tan}^{-1}x}{(1+x^2)^2}dx =$

$\int \frac{\log x}{(1+x)^2}dx = $

$\int_0^{\pi/2} \frac{1}{5\cos^2 x + 16\sin^2 x + 8\sin x \cos x} dx =$

$\int_4^{18} \frac{1}{(x+2)\sqrt{x-3}}dx = $

If $[\cdot]$ denotes the greatest integer function, then $\int_1^2 [x^2] dx =$

If the normal drawn at the point P on the curve $y^2 = x^2-x+1$ makes equal intercepts on the coordinate axes, then the equation of the tangent drawn to the curve at P is

If a balloon flying at an altitude of 30 m from an observer at a particular instant is moving horizontally at the rate of 1 m/s away from him, then the rate at which the balloon is moving away directly from the observer at the 40th second is (in m/s)

The approximate value of $\sqrt{6560}$ is

A real valued function
$f:[4, \infty) \to \mathbb{R}$ is defined as $f(x) = (x^2+x+1)^{(x^2-3x-4)}$, then f is

If a normal is drawn at a variable point P(x, y) on the curve $9x^2+16y^2-144=0$, then the maximum distance from the centre of the curve to the normal is

If $\{x\}=x-[x]$ where $[x]$ is the greatest integer $\le x$ and $\lim_{x\to 0^+} \frac{\text{Cos}^{-1}(1-\{x\}^2)\text{Sin}^{-1}(1-\{x\})}{\{x\}-\{x\}^3} = \theta$, then $\tan\theta=$