List of top Questions asked in AP EAMCET

If \( AB = 2i + 3j - 6k \), \( BC = 6i - 2j + 3k \) are the vectors along two sides of a triangle ABC, then the perimeter of triangle ABC is:

Given the reaction at 300 K: 

with \(\Delta G^\circ = -15 \, kJ \, mol^{-1}\). Calculate the value of log \(K\) for the reaction at the same temperature (R = 8.3 J \(K^{-1} \, mol^{-1}\)).

In \( \triangle ABC \), \( (r_2 + r_3) \csc^2 \frac{A}{2} =\)

Given below are two statements regarding the use of a bomb calorimeter: 
Statement-I: \(\Delta U\) can be measured by bomb calorimeter. 
Statement-II: Heat is not transferred from calorimeter to surroundings.

Observe the following reaction: \[ {H}_2{O}(s) + {F}_2(g) \rightarrow {HF}(g) + {HOF}(g) \] In this reaction, identify the correct redox changes.
'x' cm\(^3\) of CH\(_4\) gas diffused through a porous membrane in 25 min, Under the same conditions 'y' cm\(^3\) of another gas of molar mass 64 g mol\(^{-1}\) diffused in 20 min. The ratio of x and y is:
At \(T\)K, for one mole of an ideal gas, \(P\), \(V\) and \({v}_{rms}\) were measured. A graph of \(({v}_{rms})^2\) (on y-axis) and \(PV\) (on x-axis) goes straight line passing through origin. Its slope is \(m\). What is its molar mass (in kg mol\(^{-1}\))?

Which of the following orders are correct regarding their covalent bond character? 
i. KF \(<\) KI 
ii. SnCl2 \(<\) SnCl4 
iii. NaCl \(<\) CuCl

Identify the sets containing isostructural molecules from the following options: 
i: \({SiF}_4\), \({CCl}_4\) 
ii: \({NF}_3\), \({XeO}_3\) 
iii: \({BeCl}_2\), \({HgCl}_2\) 
iv: \({SF}_4\), \({XeF}_4\)

Match the following: 

What is the radius of the second Bohr orbit of \( {He}^+ \) ion?
If \( 0<x<\frac{1}{2} \) and \( \alpha = \sin^{-1} x + \cos^{-1} \left(\frac{x}{2} +\frac{\sqrt{3} - 3x^2}{2} \right) \), then \( \tan \alpha + \cot \alpha = \):
Evaluate the sum: \[ \tan^2 \frac{\pi}{16} + \tan^2 \frac{2\pi}{16} + \tan^2 \frac{3\pi}{16} + \tan^2 \frac{4\pi}{16} + \tan^2 \frac{5\pi}{16} + \tan^2 \frac{6\pi}{16} + \tan^2 \frac{7\pi}{16} \]
Which of the following is not the correct order regarding the energy of orbitals?
For an amplitude modulated wave, the maximum and minimum amplitudes are respectively 16 V and 4 V. The modulation index is:

Three logic gates are connected as shown in the figure. If the inputs are \(A = 1\), \(B = 0\) and \(C = 0\) then the values of \(y_1\), \(y_2\) and \(y_3\) respectively are: 


 

The voltage gain of a common emitter amplifier is 60. If the output and input resistances are 4 k\(\Omega\) and 2 k\(\Omega\) respectively, the power gain of the amplifier is:
The energy released in the fission of one \(_{92}^{235}{U}\) nucleus is 200 MeV. The energy released in the fission of 235 g of \(_{92}^{235}{U}\) is nearly:
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 \(f(x) = \begin{cases} ax^2 + bx - \frac{13}{8}, & x \le 1 \\ 3x - 3, & 1<x \le 2 \\ bx^3 + 1, & x>2 \end{cases}\)is differentiable \(\forall x \in \mathbb{R}\), then \( a - b = \)
\[ f(x) = \begin{cases} \frac{x - |x|}{x}, & x \neq 0 \\[8pt] 2, & x = 0 \end{cases} \] Which of the following is true for \( f(x) \)
Evaluate \( \int (\log x)^m x^n dx \).
If \[ \int \frac{\sqrt[4]{x}}{\sqrt{x} + \sqrt[4]{x}} \, dx = \frac{2}{3} \left[ A \sqrt[4]{x^3} + B \sqrt[4]{x^2} + C \sqrt[4]{x} + D \log \left( 1 + \sqrt[4]{x} \right) \right] + K \] then \( \frac{2}{3} (A + B + C + D) = \)}
Evaluate the integral: \[ \int \sin^{-1} \left( \sqrt{\frac{x - a}{x}} \right) dx \]
Find the domain of \( f(x) \) given: \[ \int \frac{\sin x \cos x}{\sqrt{\cos^4 x - \sin^4 x}} dx = -\frac{f(x)}{2} + C. \] then domain of f{x) is