List of top Questions asked in TS EAMCET

An aircraft executes a horizontal loop of radius 9 km at a constant speed of 540 km/h. The wings of the aircraft are banked at an angle of
If the direction ratios of two lines are \( (3,0,2) \) and \( (0,2,k) \), and \( \theta \) is the angle between them, and if \( |\cos \theta| = \frac{6}{13} \), then \( k = \)
A(1, -2, 1) and B(2, -1, 2) are the end points of a line segment. If \(D(\alpha, \beta, \gamma)\) is the foot of the perpendicular drawn from \(C(1, 2, 3)\) to AB, then \(\alpha^2 + \beta^2 + \gamma^2 =\)
An organic compound containing phosphorus on oxidation with \( Na_2O_2 \) gives a compound \( X \). When \( X \) is boiled with \( HNO_3 \) and treated with a reagent, it gives a yellow precipitate \( Y \). Identify \( X \) and \( Y \).
The wavenumber of the first spectral line of the Lyman series of He\(^+\) ion is \( x \) m\(^{-1}\). What is the wavenumber (in m\(^{-1}\)) of the second spectral line of the Balmer series of Li\(^{2+}\) ion?
Choose the correct statements from the following: I) In vapour phase, \( BeCl_2 \) exists as a chlorobridged dimer.
II) \( BeSO_4 \) is readily soluble in water.
III) \( BeO \) is completely basic in nature.
IV) \( BeCO_3 \), being unstable, is kept in the atmosphere of \( CO_2 \).
V) \( BeCO_3 \) is less soluble among all the carbonates of group 2 elements.
Observe the following species: (i) \( NH_3 \) (ii) \( AlCl_3 \) (iii) \( SnCl_4 \) (iv) \( CO_2 \) (v) \( Ag^+ \) (vi) \( HSO_4^- \) How many of the above species act as Lewis acids?
A massless spring of length \( l \) and spring constant \( k \) oscillates with a time period \( T \) when loaded with a mass \( m \). The spring is now cut into three equal parts and connected in parallel. The frequency of oscillation of the combination when it is loaded with a mass \( 4m \) is: \vspace{0.5cm}
The normality of a 20-volume solution of hydrogen peroxide is:

In the given reaction sequence, identify Z.

Reaction of conversion of Y to Z in the given reaction corresponds to: 

A circular plate of radius \( r \) is removed from a uniform circular plate P of radius \( 4r \) to form a hole. If the distance between the centre of the hole formed and the centre of the plate P is \( 2r \), then the distance of the centre of mass of the remaining portion from the centre of the plate P is?
The region in the output voltage versus input voltage graph where a transistor can be used as an amplifier is?
A thin plano-convex lens of focal length 73.5 cm has a circular aperture of diameter 8.4 cm. If the refractive index of the material of the lens is \( \frac{5}{3} \), then the thickness of the lens is nearly.
When an object of height 12 cm is placed at a distance from a convex lens, an image of height 18 cm is formed on a screen. Without changing the positions of the object and the screen, if the lens is moved towards the screen, another clear image is formed on the screen. The height of this image is.
The difference between the fundamental frequencies of an open pipe and a closed pipe of the same length is 100 Hz. The difference between the frequencies of the second harmonic of the open pipe and the third harmonic of the closed pipe is:
A solid sphere rolls down without slipping from the top of an inclined plane of height 28 m and angle of inclination 30°. The velocity of the sphere when it reaches the bottom of the plane is (Acceleration due to gravity \( g = 10 \, \text{m/s}^2 \))
$$ x^5 + 4x^4 - 13x^3 - 52x^2 + 36x + 144 = 0 $$

What is 'C' in the given sequence of reactions?

An $\alpha$-particle of energy \( E \) is liberated during the decay of a nucleus of mass number 236. The total energy released in this process is 236. The total energy released in this process is

Identify the set, in which X and Y are correctly matched:

Area of the triangle bounded by the lines given by the equations: \[ 12x^2 - 20xy + 7y^2 = 0 \quad \text{and} \quad x + y - 1 = 0 \]
If \( \vec{a}, \vec{b}, \vec{c} \) are non-coplanar vectors and the points \[ \lambda \vec{a} + 3\vec{b} - \vec{c}, \quad \vec{a} - \lambda \vec{b} + 3\vec{c}, \quad 3\vec{a} + 4\vec{b} - \lambda \vec{c}, \quad \vec{a} - 6\vec{b} + 6\vec{c} \] are coplanar, then one of the values of \( \lambda \) is:
0.592 g of copper is deposited in 60 minutes by passing 0.5 amperes current through a solution of copper (II) sulphate. The electro chemical equivalent of copper (II) in g/C is:

The system of simultaneous linear equations : 

 

\[ \begin{array}{rcl} x - 2y + 3z &=& 4 \\ 2x + 3y + z &=& 6 \\ 3x + y - 2z &=& 7 \end{array} \]