List of top Questions asked in AP EAPCET

Three layers of liquid are flowing over a fixed solid surface as shown below. The correct order of velocity of liquid in these layers is:

Two condensers $ C_1 $ & $ C_2 $ in a circuit are joined as shown in the figure. The potential of point A is $ V_1 $ and that of point B is $ V_2 $. The potential at point D will be:

The angular momentum of an electron in a stationary state of $Li^{2+}$ ($Z=3$) is $ \frac{3h}{\pi} $. The radius and energy of that stationary state are respectively.

The length of the side of a cube is $ 1.2 \times 10^{-2} $ m. Its volume up to correct significant figures is:

If the frequency of a wave is increased by 25%, then the change in its wavelength is (medium not changed):

Match the following:

The osmotic pressure of seawater is 1.05 atm. Four experiments were carried out as shown in the table. In which of the following experiments, pure water can be obtained in part-II of the vessel?

When two coaxial coils having the same current in the same direction are brought close to each other, then the value of current in both the coils:

In $ \triangle ABC $, if $ (r_2 - r_1)(r_3 - r_1) = 2r_2r_3 $, then $ 2(r + R) = $:

Bag A contains 3 white and 4 red balls, bag B contains 4 white and 5 red balls, and bag C contains 5 white and 6 red balls. If one ball is drawn at random from each of these three bags, then the probability of getting one white and two red balls is:

Evaluate the limit: \[ \lim_{x \to 1} \frac{x + x^2 + x^3 + \dots + x^n - n}{x - 1}. \]

A body is executing simple harmonic motion. At a displacement $ x $, its potential energy is $ E_1 $, and at a displacement $ y $, its potential energy is $ E_2 $. The potential energy $ E $ at a displacement $ (x + y) $ is:

Identify the method of preparation of a colloidal sol from the following:

Evaluate the expression: \[ \frac{\sin 1^\circ + \sin 2^\circ + \dots + \sin 89^\circ}{2(\cos 1^\circ + \cos 2^\circ + \dots + \cos 44^\circ) + 1} =\]

A 4 kg mass is suspended as shown in the figure. All pulleys are frictionless and spring constant $ K $ is $ 8 \times 10^3 $ Nm$^{-1}$. The extension in spring is ( $ g = 10 $ ms$^{-2}$ )

A carrier is simultaneously modulated by two sine waves with modulation indices of 0.3 and 0.4; then the total modulation index is:

Observe the following reaction: $ 2A_2(g) + B_2(g) \xrightarrow{T(K)} 2A_2B(g) + 600 \text{ kJ} $. The standard enthalpy of formation $ (\Delta_f H^\circ) $ of $ A_2B(g) $ is:

Which of the following is an example for fibre?

Evaluate the integral \[ I = \int_{-1}^{1} \left( \sqrt{1 + x + x^2} - \sqrt{1 - x + x^2} \right) \, dx \]

Match the following (f is the number of degrees of freedom):

Monoatomic Diatomic (rigid) Diatomic Polyatomic (non-rigid)

The current passing through a coil of 120 turns and inductance $ 40 $ mH is $ 30 $ mA. The magnetic flux linked with the coil is:

If $ 5 \sinh x - \cosh x = 5 $, then one of the values of $ \tanh x $ is:

When the load applied to a wire is increased from 5 kg wt to 8 kg wt, the elongation of the wire increases from 1 mm to 1.8 mm. The work done during the elongation of the wire is (Acceleration due to gravity = 10 m/s$^2$):

The density of nitric acid solution is 1.5 g mL$^{-1}$. Its weight percentage is 68. What is the approximate concentration (in mol L$^{-1}$) of nitric acid? (N = 14 u; O = 16 u; H = 1 u)

If \[ 3f(x) - 2f\left(\frac{1}{x}\right) = x, \] then $ f'(2) $ is: