List of top Questions asked in TS EAMCET

Formic acid on heating with concentrated H\(_2\)SO\(_4\) at 373 K gives X, a colourless substance and Y, a good reducing agent. The number of \(\sigma\) and \(\pi\) bonds in X, Y are respectively:
If \(n\) and \(l\) represent the principal and azimuthal quantum numbers respectively, the formula used to know the number of radial nodes possible for a given orbital is:
The position \( x \) (in meters) of a particle moving along a straight line is given by: \[ x = t^3 - 12t + 3 \] where \( t \) is time (in seconds). The acceleration of the particle when its velocity becomes \( 15 \, \text{ms}^{-1} \) is: \vspace{0.5cm}
A block of mass 5 kg is kept on a smooth horizontal surface. A horizontal stream of water coming out of a pipe of area of cross-section \( 5 \, \text{cm}^2 \) hits the block with a velocity of \( 5 \, \text{ms}^{-1} \) and rebounds back with the same velocity. The initial acceleration of the block is: (Density of water is \( 1 \, \text{g/cc} \)) \vspace{0.5cm}
If the equation of the curve which passes through the point \( (1,1) \) satisfies the differential equation: \[ \frac{dy}{dx} = \frac{2x - 5y + 3}{5x + 2y - 3}, \] then the equation of the curve is: \vspace{0.5cm}
Derivative of \((\sin x)^x\) with respect to \(x\) is:
The foot of the perpendicular drawn from the point \((-2, -1, 3)\) to a plane is \((1, 0, -2)\). If \(a, b, c\) are the intercepts made by the plane \(\pi\) on \(X, Y, Z\)-axes respectively, then \(3a+b+5c =\)
P(\( \theta \)) is a point on the hyperbola \( \frac{x^2}{a^2} - \frac{y^2}{9} = 1 \), S is its focus lying on the positive X-axis and Q = (0,1). If SQ = \( \sqrt{26} \) and SP = 6, then \( \theta \) is:
(a,b) is the point to which the origin has to be shifted by translation of axes so as to remove the first-degree terms from the equation \(2x^2 - 3xy + 4y^2 + 5y - 6 = 0\). If the angle by which the axes are to be rotated in positive direction about the origin to remove the \(xy\)-term from the equation \(ax^2 + 23abxy + by^2 = 0\) is \( \theta \), then \(2\theta =\)
A unit vector \( \mathbf{e} = a\mathbf{i} + b\mathbf{j} + c\mathbf{k} \) is coplanar with the vectors \( \mathbf{i} - 3\mathbf{j} + 5\mathbf{k} \) and \( 3\mathbf{i} + \mathbf{j} - 5\mathbf{k} \) and is perpendicular to the vector \( \mathbf{i} + \mathbf{j} + \mathbf{k} \). Calculate \(2a^2 + 3b^2 + 4c^2\):
Given the position vectors of points \(A\) and \(B\) as \( \mathbf{A} = 2\mathbf{i} - 3\mathbf{j} + \mathbf{k} \) and \( \mathbf{B} = \mathbf{i} + 2\mathbf{j} - 3\mathbf{k} \), and \(C\) divides \(AB\) in the ratio 3:2. If \( \mathbf{D} = 3\mathbf{i} - \mathbf{j} + 2\mathbf{k} \) is the position vector of point \(D\), find the unit vector in the direction of \( \mathbf{CD} \):
The diffraction pattern of a crystalline solid gave a peak at \( 2\theta = 60^\circ \). Its ‘d’ value is 1.54 Å. What is the wavelength (in cm) of X-rays used?

The following graph is obtained for the adsorption of a gas on the surface of a catalyst. The values of k and n are respectively

Observe the following reactions (not balanced):

Cl2 + NaOH → NaCl + X + H2O

Cl2 + NaOH → NaCl + Y + H2O

Which of the following is not correct?

(1) XeO2 is a colorless explosive gas
(2) SO2 is highly soluble in water
(3) Noble gases have very low boiling points
(4) The boiling point of sulphur is more than that of oxygen

Identify the oxidizing reactions of KMnO$_4$ in acidic medium. I.Liberation of iodine from KI
II.Conversion of \(\text{Fe}^{2+}\) to \(\text{Fe}^{3+}\)
III.Oxidation of nitrite to nitrate
IV.Oxidation of iodide to iodate
A polymer contains 800 molecules of molar mass 1000, 100 molecules of molar mass 2000 and 100 molecules of molar mass 5000. What is its number average molecular weight (\(M_n\))?
The vitamin that can be stored in the body and whose deficiency results in disease is:
The drug which is obtained from opium poppy and its use are respectively:
Hydrolysis of an alkyl halide \( X \) (\(C_6H_5Br\)) follows second order kinetics. Reaction of \( X \) with \( C_6H_5Cl \) in the presence of Na/dry ether gave \( Y \). Oxidation of \( Y \) in the presence of \( KMnO_4 / OH^- \) gave \( Z \). What are \( Y \) and \( Z \) respectively?

Match the following carboxylic acids with their pKa values.

The major product of the following reaction is 

What are X and Y respectively in the following reactions? 

A carbonyl compound \( X(C_3H_6O) \) on oxidation gave carboxylic acid \( Y(C_3H_6O_2) \). The oxime of \( X \) is:
Two statements are given below: Statement I: The boiling points of alcohols increase with increase of branching in carbon chain.
Statement II: The solubility of alcohol decreases with increase in size of alkyl group.