List of top Questions asked in TS EAMCET

A wire of length \(L\) and cross-sectional area \(A\) has a Young's modulus \(Y\). If the wire is stretched by a force \(F\), the elongation produced in the wire is:
Let $\vec{a}=\hat{i}-\hat{j}+\hat{k}$, $\vec{b}=\hat{i}-2\hat{j}-2\hat{k}$, $\vec{c}=6\hat{i}+3\hat{j}-2\hat{k}$ be three vectors. If $\vec{d}$ is a vector perpendicular to both $\vec{a}$, $\vec{b}$ and $|\vec{d}\times\vec{c}|=14$, then $|\vec{d}\cdot\vec{c}|=$
A solid sphere of mass 2 kg and radius 50 cm is rotating about its diameter with an angular speed of $50 rad s^{-1}$. The angular momentum of the sphere is
The ratio of frequencies of second line of Lyman series and third line of Balmer series of hydrogen atom is:
The energy associated with electron in first orbit of hydrogen atom is \(-2.18 \times 10^{-18}\) J. The frequency of the light required (in Hz) to excite the electron to fifth orbit is (\(h=6.6 \times 10^{-34}\) Js)
Two reactions I and II are given below:
Correct statement regarding the reactions is
If 96.875% of a radioactive substance decays in 10 days, then the half life of the substance is (in days)
The square of resultant of two equal forces is three times their product. The angle between the forces is?
If $A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}$, then Adj(Adj(Adj A)) =
If the roots of the quadratic equation \( ax^2 + bx + c = 0 \) are real and distinct, then which of the following conditions must be true?
The dielectric constant of a medium is 8 and its relative permeability is 200. If an electromagnetic wave of frequency 100 MHz travels in this medium, then its wavelength is
Let the angles A, B, C of a triangle ABC be in arithmetic progression. If the exradii \( r_1, r_2, r_3 \) of triangle ABC satisfy the condition \( r_3^2 = r_1 r_2 + r_2 r_3 + r_3 r_1 \), then \( b = \)
Which of the following is incorrect about the gravitational force between two bodies?
If the volume of a tetrahedron having \( \vec{i}+2\vec{j}-3\vec{k} \), \( 2\vec{i}+\vec{j}-3\vec{k} \) and \( 3\vec{i}-\vec{j}+p\vec{k} \) as its coterminous edges is 2, then the values of p are the roots of the equation
The distance for which ray optics becomes a good approximation for an aperture of 0.3 cm and a light of wavelength 6000 $\text{\AA}$ is
A gaseous mixture contains 2 moles of monatomic gas and 2 moles of diatomic gas at a temperature of 500 K. The total internal energy of the gaseous mixture is
(Atmospheric pressure = $10^5$ Pa and universal gas constant = $8.3 \, J mol^{-1} K^{-1}$)
The relation between the displacement 'x' (in metre) and the time 't' (in second) of a particle is \( t = 2x^2+3x \). If the displacement of the particle is 25 cm from the origin (x=0), then the acceleration of the particle is
\( ^{20}P_3 - ^{19}P_3 = \)
If the system of blocks shown in the figure is released from rest, the ratio of the tensions $T_1$ and $T_2$ is (Neglect the mass of the string shown in the figure)
The ratio of the average value of kinetic energy to that of potential energy for an SHM is:
If $A = \begin{pmatrix} 0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & x & 1 \end{pmatrix}$, $A^{-1} = \frac{1}{2} \begin{pmatrix} 1 & -1 & 1 \\ -8 & 6 & 2y \\ 5 & -3 & 1 \end{pmatrix}$ then the point $(x,y)$ lies on the curve
For an aperture of $5 \times 10^{-3}\,\mathrm{m}$ and a monochromatic light of wavelength $\lambda$, the distance for which ray optics becomes a good approximation is $50\,\mathrm{m}$, then $\lambda =$
An air column in a tube of length 50 cm, closed at one end is vibrating in its fifth harmonic. The phase difference between a particle at the open end and a particle at 42 cm from the open end is
When a long hollow steel pipe is struck with a hammer at one end, two sounds are heard at the other end. If the time interval between the two sounds heard is 0.53 s, then the length of the pipe is
(Speed of sound in steel is 5100 $ms^{-1}$ and speed of sound in air is 330 $ms^{-1}$)
By using which process, sodium carbonate is generally prepared?