List of top Questions asked in AP EAPCET

In a closed organ pipe, the number of nodes formed in fifth and ninth harmonics are respectively:

If \( y = \log(\sec(\tan^{-1}x)) \) for \( x>0 \), then \( \frac{dy}{dx} \) at \( x = 1 \) is:

The general solution of the differential equation \( \sec(x - y + 1) dy = dx \) is:

Radius of gyration of a thin uniform rod of length \( L \) about an axis passing through its centre and perpendicular to its length is:

The element whose percentage composition in an organic compound can be determined by Carius method is:

\( x \) mg of an organic compound was analysed by Kjeldahl method. The ammonia evolved was absorbed in 50 mL of 0.5 M \( H_2SO_4 \). The unused acid required 60 mL of 0.5 M \( NaOH \) solution for complete neutralisation. If the percentage of nitrogen in the compound is \( 56 \), the value of \( x \) is:

The reaction of benzene diazonium chloride with Cu and HCl is known as:

Identify the correct set from the following:

In the given reaction sequence, conversion of Acetophenone (\( C_6H_5COCH_3 \)) to Ethylbenzene (\( C_6H_5CH_2CH_3 \)) is an example of: \[ \text{CH}_3\text{COC/} \] \[ \text{Anhy. AlCl}_3 \xrightarrow{\text{X}} \xrightarrow{\text{(1) N}_2\text{H}_4} Y \] \[ \Delta \xrightarrow{\text{(2) KOH / glycol}} \]

IUPAC names of mesityl oxide and oxalic acid are respectively:

Which one of the following compounds does not give benzoic acid when treated with alkaline \( KMnO_4 \)?

A plane \( \pi \) given by \( ax+by+11z+d = 0 \) is perpendicular to the planes \( 2x-3y+z=4 \), \( 3x+y-z=5 \), and the perpendicular distance from the origin to the plane \( \pi \) is \( \sqrt{6} \) units. If all the intercepts made by the plane \( \pi \) on the coordinate axes are positive, then \( d = \):

The general solution of the differential equation \[ \frac{dy}{dx} = \frac{2xy-4x+y-2}{2xy+x-4y-2} \] is:

If $\sin x - \sin y = \frac{27}{65}$ and $\cos x - \cos y = -\frac{21}{65}$, then $\sin(x+y)= $

The range of the real valued function \( f(x) = \cos^{-1} \left( \dfrac{3}{\sqrt{9x^2 - 12x + 22}} \right) \) is

The lengths of the two focal chords of the parabola \( y^2 = 16x \) is 25 units each. If these two chords cut the parabola at \( A, B, C, D \), then the area (in sq. units) of the quadrilateral formed by \( A, B, C, D \) is:

If the lengths of the tangent, subtangent, normal, and subnormal for the curve \( y = x^2 + x - 1 \) at the point \( (1,1) \) are \( a, b, c, \) and \( d \) respectively, then their increasing order is:

The de Broglie wavelengths of two fast-moving particles \( X \), \( Y \) are \( 1 \) nm, \( 3 \) nm respectively. Mass of \( X \) is nine times the mass of \( Y \). The ratio of kinetic energies of \( X \), \( Y \) is:

The differential equation for which \( y^2 = 4a(x + a) \) (where \( a \) is a parameter) is the general solution is:

In which one of the following complexes the metal ion has \( t_{2g}^3 e_g^2 \) configuration?

The number of solutions of the equation $\sec x \cos 5x + 1 = 0$ in the interval $[0, 2\pi]$ is

If 27 identical charged conducting spheres, each of capacitance \( 10 \mu F \), combine to form a big sphere, then the capacitance of the big sphere is:

Which set of elements form electron-precise hydrides?

The adsorption of a gas on a solid surface follows Freundlich adsorption isotherm. At \( T \)(K), the gas pressure is \( 2 \) atm. What is the value of \( \frac{x}{m} \)? (\( n = 2 \) and \( k \) = constant)

Evaluate the integral: \[ I = \int_0^x \frac{t^2}{\sqrt{a^2 + t^2}} dt \]