List of top Questions asked in TS EAMCET

The organic halide, which does not undergo hydrolysis by SN1 mechanism is:

Option 1: C6H5CH2Cl

Option 2: CH2CH - CH2Cl

Option 3: (CH3)3C - Cl

Option 4: CH3 - CH = CH - Cl

What is the percentage of carbon in the product 'Z' formed in the reaction? 

Match the following reactions with their corresponding products: 

What are Y and Z respectively in the given reaction sequence? 

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

A cannon fires two similar shells one after the other each with a velocity of 100 m/s at angles 60$^\circ$ and 30$^\circ$ respectively with the horizontal such that they both hit the target at the same time. The time interval between the firing of the two shells is (Acceleration due to gravity = 10 m/s²).
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:
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 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}
The maximum horizontal range of a ball projected from the ground is 32 m. If the ball is thrown with the same speed horizontally from the top of a tower of height 25 m, the maximum horizontal distance covered by the ball is: (Acceleration due to gravity \( g = 10 \, \text{m/s}^2 \)) \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:
If \( x - 2y - 6 = 0 \) is a normal to the circle \( x^2 + y^2 + 2gx + 2fy - 8 = 0 \) and the line \( y = 2 \) touches this circle, then the radius of the circle can be:
(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 \(2\theta =\)
If \( A(1, -2), B(-2, 3), C(-1, -3) \) are the vertices of a triangle ABC. \( L_1 \) is the perpendicular drawn from \( A \) to \( BC \) and \( L_2 \) is the perpendicular bisector of \( AB \). If \( (l, m) \) is the point of intersection of \( L_1 \) and \( L_2 \), then \( 26m - 3 = \)
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 number of ways in which the number 831600 can be split into two factors which are relatively prime is:
If \( z = x + iy \) and the point \( P \) represents \( z \) in the Argand plane. If the amplitude of \( \frac{2z-i}{z+2i} \) is \( \frac{\pi}{4} \), then the equation of the locus of \( P \) is:
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