List of top Questions asked in TS EAMCET

If the potential energy of an electron in an orbit of hydrogen atom is $-6.80$ eV, then the energy required to ionize the atom is

If local maximum of $f(x) = \frac{ax+b}{(x-1)(x-4)}$ exists at $(2,-1)$, then $a+b=$

Let K be the number of rational terms in the expansion of $(\sqrt{2}+\sqrt[6]{3})^{6144}$. If the coefficient of $x^P (P \in N)$ in the expansion of $\frac{1}{(1+x)(1+x^2)(1+x^4)(1+x^8)(1+x^{16})}$ is $a_P$, then $a_K - a_{K+1} - a_{K-1} =$

A plane $\pi_1$ contains the vectors $\vec{i}+\vec{j}$ and $\vec{i}+2\vec{j}$. Another plane $\pi_2$ contains the vectors $2\vec{i}-\vec{j}$ and $3\vec{i}+2\vec{k}$. $\vec{a}$ is a vector parallel to the line of intersection of $\pi_1$ and $\pi_2$. If the angle $\theta$ between $\vec{a}$ and $\vec{i}-2\vec{j}+2\vec{k}$ is acute, then $\theta=$

The pair of ions with paramagnetic nature and same number of electrons is

At a certain place in the magnetic meridian, the earth's magnetic field is twice its vertical component. The ratio of horizontal component of earth's magnetic field and the total magnetic field of the earth at that place is

The maximum wavelength of incident radiation required to ionize a hydrogen atom in its ground state is nearly

The electrostatic force between two charges kept in air is F. If 30% of the space between the charges is filled with a medium, then the electrostatic force between the charges becomes $\frac{F}{2.56}$. The dielectric constant of the medium is

When 'n' identical mercury drops combine to form a single big drop

If \( \cos\theta + \sin\theta = \sqrt{2}\cos\theta \) and \( 0<\theta<\frac{\pi}{2} \), then \( \sec(2\theta) + \tan(2\theta) = \)

If $\vec{a}=\hat{i}-2\hat{j}+2\hat{k}$ and $\vec{b}=9\hat{i}+6\hat{j}-18\hat{k}$ are two vectors, then $\frac{\text{Projection of } \vec{b} \text{ on } \vec{a}}{\text{Projection of } \vec{a} \text{ on } \vec{b}} =$

The ratio of radii of gyration of a thin circular ring and a circular disc of same radius about a tangential axis in their own planes is $\sqrt{12}:\sqrt{K}$. The value of K is

The Young's modulus and Poisson's ratio of a material are respectively Y and $\sigma$. The force required to decrease the area of cross-section of a wire made of this material by $\Delta A$ is

At a given place, to increase the number of oscillations made by a simple pendulum in one minute from 72 to 90, the length of the pendulum is to be decreased by

The potential energy of an electron in an orbit of hydrogen atom is -6.8 eV. The de Broglie wavelength of the electron in this orbit is ($r_0$ is Bohr radius)

The half-life of a zero order reaction A $\rightarrow$ products, is 0.5 hour. The initial concentration of A is 4 mol L$^{-1}$. How much time (in hr) does it take for its concentration to come from 2.0 mol L$^{-1}$ to 1.0 mol L$^{-1}$?

In a potentiometer experiment, a wire of length 10 m and resistance $5\,\Omega$ is connected to a cell of emf 2.2 V. If the potential difference between two points separated by a distance of 660 cm on potentiometer wire is 1.1 V, then the internal resistance of the cell is

\( \int_{0}^{\pi / 4} x^{2} \sin 2 x d x= \)

If the moment of inertia of a uniform solid cylinder about the axis of the cylinder is \( \frac{1}{n} \) times its moment of inertia about an axis passing through its midpoint and perpendicular to its length, then the ratio of the length and radius of the cylinder is

Study the following table. The correct match is.

Which of the following statements is not correct regarding significant figures?

Which of the following involves electrolysis?

Observe the following:
$O_2, C_6H_6, Cu^{2+}, Cu^+, MnO, Fe_3O_4, MgFe_2O_4, NaCl, O_2^+$.
The number of diamagnetic and paramagnetic species is respectively

Petrol (density $= 750 \, kg m^{-3}$) and diesel (density $= 850 \, kg m^{-3}$) enter into two identical venturimeters each with a velocity $10 ms^{-1}$ as shown in the figure. If $\Delta h_1$ is the difference in heights of petrol in the two vertical tubes of venturimeter A and if $\Delta h_2$ is the difference in heights of diesel in the two vertical tubes of the venturimeter B, then $\Delta h_1 : \Delta h_2 =$

The time period of a particle executing simple harmonic motion is $2\pi$ second. If the maximum acceleration of the particle is $10 ms^{-2}$, then the maximum velocity of the particle is