List of top Questions asked in AP EAMCET

A soccer ball of mass 250 g is moving horizontally to the left with a speed of 22 m/s. This ball is kicked towards right with a velocity 30 m/s at an angle 53° with the horizontal in upward direction. Assuming that it took 0.01 s for the collision to take place, the average force acting is:

Two satellites of masses $ m $ and $ 1.5m $ are revolving around the Earth with different speeds in two circular orbits of heights $ R_E $ and $ 2R_E $ respectively, where $ R_E $ is the radius of the Earth. The ratio of the minimum and maximum gravitational forces on the Earth due to the two satellites is

Given the equation: \[ y = (\tan^{-1} 2x)^2 + (\cot^{-1} 2x)^2, \] find the expression: \[ (1+4x^2)^2 y'' - 16. \]

Which of the following sets are correctly matched?
(i) B2H6- electron deficient hydride
(ii) NH3- electron precise hydride
(iii) H2O- electron rich hydride

If the line through the point $ P(5,3) $ meets the circle $ x^2 + y^2 - 2x - 4y + \alpha = 0 $ at $ A(4, 2) $ and $ B(x_1, y_1) $, then $ PA \times PB = $:

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

The diffraction pattern of a crystalline solid gave a peak at $ 2\theta = 60^\circ $. What is the distance (in cm) between the layers that gave this peak? \[ \text{(Given: Wavelength } \lambda = 1.544\text{ Å, } \sin 30^\circ = 0.5, \sin 60^\circ = 0.866, n=1) \]

A hydrocarbon containing C and H has 92.3% C. When 39 g of hydrocarbon was completely burnt in O_2, x moles of water and y moles of CO₂were formed. x moles of water is sufficient to liberate 0.75 moles of H₂ with Na metal. What is the weight (in g) of oxygen consumed?

RMS velocity of one mole of an ideal gas was measured at different temperatures. A graph of $ (u_{\text{rms}})^2 $ (on y-axis) and $ T/K $ (on x-axis) gave a straight line passing through the origin, and its slope is $ 249 \, \text{m}^2 \text{s}^{-2}\text{K}^{-1} $. What is the molar mass (in kg mol$^{-1}$) of the ideal gas? $( R = 8.3 \, \text{J mol}^{-1} \text{K}^{-1} )$

If the points with position vectors \[ (\mathbf{a}i + 10j + 13k), \quad (6i + 11j + 11k), \quad \left(\frac{9}{2}i + \beta j - 8k\right) \] are collinear, then evaluate $ (19a - 6\beta)^2 $.

Evaluate the sum: \[ \sin^2 18^\circ + \sin^2 24^\circ + \sin^2 36^\circ + \sin^2 42^\circ + \sin^2 78^\circ + \sin^2 90^\circ + \sin^2 96^\circ + \sin^2 102^\circ + \sin^2 138^\circ + \sin^2 162^\circ. \]

If $ H $ is the orthocenter of $ \triangle ABC $ and $ AH = x $, $ BH = y $, $ CH = z $, then evaluate: \[ \frac{abc}{xyz} \]

Evaluate the expression: \[ \sin^2 76^\circ + \sin^2 16^\circ - \sin 76^\circ \sin 16^\circ \]

Evaluate the expression: \[ \tan 6^\circ \tan 42^\circ \tan 66^\circ \tan 78^\circ \]

The absolute value of the difference of the coefficients of $x^4$ and $x^6$ in the expansion of
$\frac{2x^2}{(x^2+1)(x^2+2)}$
is:

When a convex lens is immersed in a liquid of refractive index equal to 80% of the refractive index of the material of the lens, the focal length of the lens increases by 100%. The refractive index of the liquid is:

While solving a system of linear equations $ AX = B $ using Cramer’s rule, if \includegraphics[]{6.png}

In a Carnot engine, the absolute temperature of the source is 25% more than the absolute temperature of the sink. The efficiency of the engine is

If $ M_1 $ and $ M_2 $ are the maximum values of $ \frac{1}{11 \cos 2x + 60 \sin 2x + 69} $ and $ 3 \cos^2 5x + 4\sin^2 5x $ respectively, then $ \frac{M_1}{M_2} = $:

5 boys and 6 girls are arranged in all possible ways. Let $X$ denote the number of linear arrangements in which no two boys sit together, and $Y$ denote the number of linear arrangements in which no two girls sit together. If $Z$ denotes the number of ways of arranging all of them around a circular table such that no two boys sit together, then $X:Y:Z$ = ?