List of top Questions asked in TS EAMCET

729 small identical spheres each charged to an electric potential 3V combine to form a bigger sphere. The electric potential of the bigger sphere is
The ratio of the masses of two thin uniform circular discs made of same material having same thickness is 4:9. The ratio of the moments of inertia of the two discs about their diameters is
An electromagnetic radiation of wavelength 331.5 nm is made to strike the surface of a metal. Electrons are emitted with a kinetic energy of \(1.2 \times 10^5\) J mol\(^{-1}\). The work function (in eV) of the metal is (h=\(6.63 \times 10^{-34}\) Js, \(N_A = 6 \times 10^{23}\) mol\(^{-1}\))
If $\frac{1}{2.7} + \frac{1}{7.12} + \frac{1}{12.17} + \dots$ to 10 terms = k, then k =
If the curves \(y^2=12x-3\) and \(y^2=12-kx\) cut each other orthogonally then the length of the sub tangent at (1,b) on the curve \(y^2=12-kx\) is
If \(\frac{d}{dx}\left\{ \frac{x-1}{x-\sqrt{x}} e^{2x+1} \right\} = \frac{x-1}{x-\sqrt{x}} e^{2x+1} f(x)\), then \(f(4) =\)
Let $\pi_1$ be the plane determined by the vectors $\hat{i}+\hat{j}, \hat{i}+\hat{k}$ and $\pi_2$ be the plane determined by the vectors $\hat{j}-\hat{k}, \hat{k}-\hat{i}$. Let $\vec{a}$ be a non-zero vector parallel to the line of intersection of the planes $\pi_1$ and $\pi_2$. If $\vec{b} = \hat{i}+\hat{j}-\hat{k}$ then the angle between the vectors $\vec{a}$ and $\vec{b}$ is
A ball is projected vertically up with speed \( V_0 \) from a certain height \( H \). When the ball reaches the ground, the speed is \( 3V_0 \). The time taken by the ball to reach the ground and height \( H \) respectively are:
A radar sends sound waves of frequency 'f' towards an aeroplane moving away from it. If the difference in the frequencies of waves sent and received by the radar is 10% of 'f', then the speed of the aeroplane in $ms^{-1}$ is nearly (Speed of sound in air = 342 $ms^{-1}$)
When a cell is connected across a resistance $R$, the current through it is 0.7 A and when the same cell is connected across a resistance $2R$, the current through it is 0.42 A. If the same cell is connected across a resistance $3R$, the current through it is
A physical quantity is represented by $P = X^aY^bZ^c$. If the errors in the measurements of the physical quantities X, Y and Z are respectively a%, b% and c%, then the percentage error in the determination of quantity P is
When a bullet is fired with a velocity of $150~\text{m s}^{-1}$ at a target of thickness 50 cm, it emerges with a velocity of $100~\text{m s}^{-1}$. If another bullet of same mass is fired with same velocity at a second target of thickness 80 cm, then the velocity with which the bullet emerges from the second target is (Retarding forces are equal in both the cases)
In which of the following, the compounds are arranged in the correct order of acidic strength?
Two spherical shells of radii $R$ and $2R$, masses $M$ and $2M$ respectively are arranged concentrically. The net gravitational force acting on a particle of mass $m$ placed at a distance of $23R$ from the common centre of the shells is ($G$ = Universal gravitational constant)
The thermo emf of a thermocouple varies with temperature as \( E = A\theta + B\theta^2 \). If the cold junction is kept at \( 0^\circ C \), the neutral temperature is:
Observe the following unbalanced equations:
(I) $H_2O(l) + Na(s) \rightarrow$
(II) $H_2O(l) + F_2(g) \rightarrow$
Identify the correct statement.
In a photoelectric experiment, the slope of the graph drawn between stopping potential along y-axis and frequency of incident radiation along x-axis is (Planck's constant = $6.6\times 10^{-34}$ Js)
Two points A and B are located at distances 4 cm and 5 cm respectively from a point charge $+20\mu C$. The work done in taking a charge of $+2\mu C$ from point A to point B is
The ratio of the relative strengths of weak nuclear force and gravitational force is
A solid sphere of mass 2 kg and radius 0.5 m is rolling without slipping on a horizontal surface. The ratio of the rotational and translational kinetic energies of the sphere is
A body projected at certain angle (\(\neq 90^\circ\)) from the ground crosses a point in its path at a time of 2.3 s and from there it reaches the ground after a time of 5.7 s. The maximum height reached by the body is (Acceleration due to gravity = 10 ms\(^{-2}\))
If the variance of the numbers \( 9, 15, 21, \dots, (6n+3) \) is P, then the variance of the first \( n \) even numbers is
A Zener diode of breakdown voltage 6 V is connected as shown in the circuit. The power dissipated in the Zener diode is
The number of integers lying between 1000 and 10000 such that the sum of all the digits in each of those numbers becomes 30 is
If \(f:[a,b] \to [c,d]\) is a continuous and strictly increasing function, then \(\frac{d-c}{b-a}\) is