List of top Questions asked in AP EAMCET

A piston divides a closed gas cylinder into two parts. Initially, the piston is kept pressed such that one part has pressure P and volume 5V and the other part has pressure 8P and volume V. The piston is now left free. The new pressure if the process is isothermal:
An inductor of inductive reactance 80 \(\Omega\) and a resistor of resistance 60 \(\Omega\) are connected in series to an ac source. The impedance and the power factor of the circuit are respectively:
A solid flywheel of mass 20 kg and radius 100 mm revolves at 600 revolutions per minute. If the coefficient of friction is 0.1 and to stop the flywheel in 3.14 s, the force to be applied against is approximately:
Initially the pressure of 1 mole of an ideal gas is \( 10^5 \) Nm\(^2\) and its volume is 16 liters. When it is adiabatically compressed, its final volume is 2 liters. Work done on the gas is (molar specific heat at constant volume \( C_V = \frac{3R}{2} \)):
The first order reaction \( A(g) \rightarrow B(g) + 2C(g) \) occurs at 25\(^\circ\)C. After 24 minutes the ratio of the concentration of products to the concentration of the reactant is 1:3. What is the half-life of the reaction (in min)? (log 1.11 = 0.046)
Aluminium carbide on reaction with \( D_2O \) gives \( Al(OD)_3 \) and ‘X’. What is ‘X’?
A metal crystallizes in fcc lattice. The edge length of the unit cell is 200 pm. What is the radius (in m) of the metal atom?
If \[ f(x) = 5 \cos^3 x - 3 \sin^3 x \quad \text{and} \quad g(x) = 4 \sin^3 x + \cos^2 x, \] then the derivative of \( f(x) \) with respect to \( g(x) \) is:
At 300 K, 6 g of urea was dissolved in 500 mL of water. What is the osmotic pressure (in atm) of the resultant solution? (R = 0.082 L atm K$^{-1}$ mol$^{-1}$) (C=12;N=14;O=16;H=1)
Force is given by the expression \( F = A \cos(Bx) + C \cos(Dt) \), where 'x' is displacement and 't' is time. The dimensions of \( \frac{D}{B} \) are the same as that of:
A cockroach of mass \( m \) is moving with a velocity \( v \) in the anticlockwise direction on the rim of a disc of radius \( R \). The moment of inertia of the disc about the axis is \( I \) and it is rotating in a clockwise direction with an angular velocity \( \omega \). If the cockroach stops moving, the angular velocity of the disc will be:
In a common emitter amplifier, a.c. current gain is 40 and input resistance is 1 kΩ. The load resistance is given as 10 kΩ. Then the voltage gain is:
Which one of the following is NOT a disaccharide?
If \( \alpha, \beta, \gamma \) are roots of the equation \( x^3 + ax^2 + bx + c = 0 \), then \( \alpha^{-1} + \beta^{-1} + \gamma^{-1} \) is:
In Young’s double-slit experiment with monochromatic light of wavelength 6000 Å, the fringe width is 3 mm. If the distance between the screen and slits is increased by 50\% and the distance between the slits is decreased by 10\%, then the fringe width is
If a five-digit number divisible by 3 is to be formed using the numbers 0, 1, 2, 3, 4, and 5 without repetition, then the total number of ways this can be done is:
If the coefficients of \(x^5\) and \(x^6\) are equal in the expansion of \( \left( a + \frac{x}{5} \right)^{65} \), then the coefficient of \(x^2\) in the expansion of \( \left( a + \frac{x}{5} \right)^4 \) is:
If the angular momentum of an electron in the second orbit of a hydrogen atom is \(J\), then the angular momentum of an electron in the third excited state of hydrogen is:
If \( E_1 = 4V \) and \( E_2 = 12V \), the current in the circuit and potential difference between the points P and Q respectively are:
the current in the circuit and potential difference
Which of the following is present in the photochemical smog?
Evaluate the limit: $$ \lim_{n \to \infty} n^4 \left[ \sum_{k=0}^{\infty} \frac{1}{(n^2 + k)^{5/2}} \right]. $$
If two numbers \(x\) and \(y\) are chosen one after the other at random with replacement from the set of numbers \( \{1, 2, 3, \ldots, 10\} \), then the probability that \( |x^2 - y^2| \) is divisible by 6 is:
A vessel of volume \( V \) L contains an ideal gas at \( T(K) \). The vessel is partitioned into two equal parts. The volume (in L) and temperature (in K) in each part is respectively:

Identify the amino acid which has: 

A uniform rod of length \( 2L \) is placed with one end in contact with the earth and is then inclined at an angle \( \alpha \) to the horizontal and allowed to fall without slipping at the contact point. When it becomes horizontal, its angular velocity will be: