List of top Questions asked in AP EAMCET

If $ 1 \cdot 3 \cdot 5 + 3 \cdot 5 \cdot 7 + 5 \cdot 7 \cdot 9 + \dots $ (n terms) = $ n(n + 1)f(n) - 3n $, then $ f(1) = $:

A diatomic gas does a work of $ \frac{Q}{4} $ when a heat of $ Q $ is supplied to it. Then the molar heat capacity of the gas is:

Let a and b be two non-collinear vectors of unit modulus. If u = a − (a · b)b and v = a × b, then ∥v∥ = ?

The angle between the line with the direction ratios $ (2, 5, 1) $ and the plane $ 8x + 2y - z = 4 $ is given by

If $ m, n $ are respectively the least positive and greatest negative integer values of such that $ (\frac{1-i}{1+i})^k = -i$, then $ m - n = $:

Size of the antenna for a carrier wave of frequency 3 MHz is:

The rms velocity ($ u_{\text{rms}} $), mean velocity ($ u_{\text{av}} $), and most probable velocity ($ u_{\text{mp}} $) of a gas differ from each other at a given temperature. Which of the following ratios regarding them is correct?

If $ \cos^{-1}(2x) + \cos^{-1}(3x) = \frac{\pi}{3} $ and $ 4x^2 = \frac{a}{b} $, then $ a + b = $:

The $\Delta T_b$ value for 0.01 m KCl solution is 0.01 K. What is the Van’t Hoff factor? (Kb for water = 0.52 K kg mol$^{-1}$)

Match the complexes in list-I with their hybridization in list-II.

Equation of the normal to the curve $ y = x^2 + x $ at the point $ (1,2) $ is:

Identify the correct set from the following.

If the line with direction ratios \[ (1, a, \beta) \] is perpendicular to the line with direction ratios \[ (-1,2,1) \] and parallel to the line with direction ratios \[ (\alpha,1,\beta), \] then $ (\alpha, \beta) $ is:

Let $[r]$ denote the largest integer not exceeding $r$, and the roots of the equation $ 3z^2 + 6z + 5 + \alpha(x^2 + 2x + 2) = 0 $ are complex numbers whenever $ \alpha > L $ and $ \alpha < M $. If $ (L - M) $ is minimum, then the greatest value of $[r]$ such that $ Ly^2 + My + r < 0 $ for all $ y \in \mathbb{R} $ is:

Identify the correct equation relating $ \Delta H $, $ \Delta U $, and $ \Delta T $ for 1 mole of an ideal gas (R = gas constant):

0.1 mole of potassium permanganate was heated at 300°C. What is the weight (in g) of the residue?

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

If $ y = \frac{ax + \beta}{\gamma x + \delta} $, then $ 2y_1 y_3 = $ ?

If the lines $ 3x+y-4=0 $, $ x - \alpha y + 10 = 0 $, $ \beta x + 2y + 4 = 0 $ and $ 3x + y + k = 0 $ represent the sides of a square, then find $ \alpha \beta (k+4)^2 $.

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 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:

.The function $ f(x) $ is given by: \[ f(x) = \begin{cases} \frac{2}{5 - x}, & x<3 \\ 5 - x, & x \geq 3 \end{cases} \] Which of the following is true

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: