List of top Questions asked in AP EAMCET

A train moves towards a stationary observer with speed 72 m/s\(^{-1}\). The train blows its horn and its frequency heard by observer is \(f_1\).
If the train speed is reduced to 36 m/s\(^{-1}\), the frequency heard by observer is \(f_2\). Then \( \frac{f_1}{f_2} \) is (given \(v = 340 { m/s}^{-1}\)):

Evaluate the limit: \[ \lim\limits_{x \to 2} \frac{\sqrt{1 + 4x} - \sqrt{3} + 3x}{x^3 - 8}. \]

The oxygen gas of 5 moles is heated at constant pressure from 300 K to 320 K. The amount of energy spent during this expansion is
(For oxygen \( C_p = 7 \, {Cal/mol} \cdot \degree C \), \( C_v = 5 \, {Cal/mol} \cdot \degree C \))

Two toroids with number of turns 400 and 200 have average radii respectively 30 cm and 60 cm. If they carry the same current, the ratio of magnetic fields in these two toroids is:

Observe the following reactions. Identify the reaction in which the hybridisation of the underlined atom is changed:

In a consignment of 15 articles, it is found that 3 are defective. If a sample of 5 articles is chosen at random from it, then the probability of having 2 defective articles is:

If \( P(x, y) \) represents the complex number \( z = x + iy \) in the Argand plane and \[ \arg \left( \frac{z - 3i}{z + 4} \right) = \frac{\pi}{2}, \] then the equation of the locus of \( P \) is:

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:

An information signal of frequency 10 kHz is modulated with a carrier wave of frequency 3.61 MHz. The upper side and lower side frequencies are:

If the distance between the planes \( 2x + y + z + 1 = 0 \) and \( 2x + y + z + \alpha = 0 \) is 3 units, then the product of all possible values of \( \alpha \) is:

Observe the following amino acids:

The correct order of oxidizing power of the given ions is Given: \( E^{\circ}_{\text{Mg}^{2+}/\text{Mg}} = -2.36 \, \text{V} \) and \( E^{\circ}_{\text{Cl}_2/\text{Cl}^-} = +1.36 \, \text{V}\)

Which of the following sequence of reagents converts 3-hexene to propane?

The number of \( d \) electrons in Fe is equal to which of the following?
(i) Total number of \( s \)-electrons of Mg
(ii) Total number of \( p \)-electrons of Cl
(iii) Total number of \( p \)-electrons of Ne

Which of the following solutions is used in the styptic action which prevents bleeding of blood?

If \( P = (0,1,2) \), \( Q = (4,-2,-1) \) and \( O = (0,0,0) \), then \( \angle POQ \) is:

A car is moving on a horizontal curved road of radius 50 m. If the friction coefficient between tyres and road is 0.34, the approximate maximum speed of the car will be nearly:

If the vectors \( a\hat{i} + \hat{j} + 3\hat{k} \), \( 4\hat{i} + 5\hat{j} + \hat{k} \), and \( 4\hat{i} + 2\hat{j} + 6\hat{k} \) are coplanar, then \( a \) is:

A box contains 20 percent defective bulbs. Five bulbs are randomly chosen. Find the probability that exactly 3 are defective.

Evaluate the integral: \[ \int e^x \left( \frac{x + 2}{(x+4)} \right)^2 dx. \]

If \( x - 4 = 0 \) is the radical axis of two orthogonal circles out of which one is \( x^2 + y^2 = 36 \), then the centre of the other circle is:

The number of ions present in tris(ethane-1,2-diamine)cobalt(III) sulphate is:

As shown in the figure, two blocks of masses \(m_1\) and \(m_2\) are connected to a spring of force constant \(k\). The blocks are slightly displaced in opposite directions to \(x_1, x_2\) distances and released. If the system executes simple harmonic motion, then the frequency of oscillation of the system (\(\omega\)) is: