List of top Questions asked in AP EAPCET

A short bar magnet produces a magnetic field of $6.4 \times 10^{-5}$ T at a distance of 20 cm from the center of the magnet on the normal bisector of the magnet. The magnetic field produced by this magnet at a distance of 40 cm on the axis is

The average number of photons emitted per second by a laser of power $6.6 \times 10^{-3}$ W producing a light of wavelength 600 nm is (Planck’s constant, $h = 6.6 \times 10^{-34}$ J·s)

Which of the following does not show disproportionation reaction?

Observe the following statements:
Statement A: In general, the ionization potential value decreases on moving down in the group.
Statement B: The 1\textsuperscript{st} ionization potential of sodium is greater than that of potassium.
Correct answer is

The percentage of abundance of three elements X, Y and Z in the earth’s crust are about 27.7, 8.3 and 46.0 by mass respectively. X, Y and Z are

$\sum_{k=0}^{440} i^k = x + iy \Rightarrow x^{100} + x^{99} y + x^{342} y^2 + x^{97} y^3 =$

The image of the point $(3, 4)$ with respect to the radical axis of the circles $x^2 + y^2 + 8x + 2y + 10 = 0$ and $x^2 + y^2 + 7x + 3y + 10 = 0$ is

Let $f(x) = \begin{cases} \dfrac{1}{|x|}, & |x|>1 \\ ax^2 + b, & |x| \leq 1 \end{cases}$. If $\lim_{x \to 1} f(x)$ and $\lim_{x \to -1} f(x)$ exist, then the possible values for $a$ and $b$ are

Which of the following is formed when SO3 is absorbed by concentrated H2SO4?

Pernicious anemia is caused due to deficiency of which vitamin?

For a Poisson distribution:
- Mean $ = \ell $
- Variance $ = m $
- $ \ell + m = 8 $
Then evaluate: $$ e^4 \cdot \left[1 - P(X>2)\right] $$

What are the oxidation numbers of S atoms in $ S_4O_6^{2-} $?

At 500 K, for the reaction: $$ \text{N}_2(g) + 3\text{H}_2(g) \rightleftharpoons 2\text{NH}_3(g) $$ Given: $ K_p = 0.036\, \text{atm}^{-2} $, $ R = 0.082\, \text{L atm mol}^{-1}\text{K}^{-1} $.
Find $ K_c $ in $ \text{L}^2 \text{mol}^{-2} $.

A uniform rod of length 60 cm is placed with one end in contact with the horizontal table and is then inclined at an angle 30$^\circ$ to the horizontal and allowed to fall. The angular velocity of the rod when it becomes horizontal is (acceleration due to gravity = 10 ms$^{-2}$)

The distribution of some charges on two Gaussian surfaces A and B are as shown in the figure. If $\phi_A$ and $\phi_B$ are electric fluxes linked with the surfaces A and B respectively, then $\frac{\phi_A}{\phi_B} =$

An infinitely long wire carrying 1 A current in the +Z direction is placed at (1 cm, 1 cm). Another wire carrying 1 A in +X direction is placed at y = 1 cm. If the magnetic field due to this configuration at the origin is $\vec{B$. Let $B_0$ be the magnitude of the field if only the wire at (1 cm, 1 cm) was present, then $\frac{\vec{B}}{B_0}$ is}

Let $ \vec{OA} = -4\hat{i} + 3\hat{k} $, $ \vec{OB} = 14\hat{i} + 2\hat{j} - 5\hat{k} $, and vector $ \vec{OD} $ bisects $ \angle AOB $, with $ |\vec{OD}| = \sqrt{6} $. Then: \[ \vec{OD} = ? \]

The mean deviation about the mean for the given data:

Marks Obtained	0–20	20–40	40–60	60–80	80–100
Number of Students	10	8	12	9	11

Evaluate the integral $ \int \frac{x^2 - 2}{x^3 \sqrt{x^2 - 1}} \, dx $

The reaction of diborane in diethyl ether with X gives metal borohydride. X is a:

If $f(x) = ax^2 + bx + c$ for some $a, b, c \in \mathbb{R}$ with $a + b + c = 3$ and \[ f(x+y) = f(x) + f(y) + xy,\quad \forall x, y \in \mathbb{R} \] Then $\sum_{n=1}^{10} f(n) = $ ?

Suppose a parabola with focus at $(0,0)$ has $x - y + 1 = 0$ as its tangent at the vertex. Then the equation of its directrix is