List of top Questions asked in AP EAMCET

In a meter bridge experiment, a resistance of 9 Ω is connected in the left gap and an unknown resistance greater than 9 Ω is connected in the right gap. If the resistance in the gaps are interchanged, the balancing point shifts by 10 cm. The unknown resistance is:

The angle made by the resultant vector of two vectors $ 2\hat{i} + 3\hat{j} + 4\hat{k} $ and $ 2\hat{i} - 7\hat{j} - 4\hat{k} $ with the x-axis is:

If the longest wavelength of the spectral line of the Paschen series of $ \text{Li}^{2+} $ ion spectrum is $ x $ Å, then the longest wavelength (in Å) of the Lyman series of the hydrogen spectrum is:

The percentage error in the measurement of mass and velocity are 3% and 4% respectively. The percentage error in the measurement of kinetic energy is:

A → P is a first order reaction. The following graph is obtained for this reaction. (x-axis = time; y-axis = conc. of A). The instantaneous rate of the reaction at point C is

The de Broglie wavelength of an electron with kinetic energy of $ 2.5 $ eV is (in m): \[ (1 \text{ eV} = 1.6 \times 10^{-19} \text{ J}, \quad m_e = 9 \times 10^{-31} \text{ kg}) \]

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 = $:

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: \[ \tan 6^\circ \tan 42^\circ \tan 66^\circ \tan 78^\circ \]

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}

If the number of real roots of $ x^9 - x^5 + x^4 - 1 = 0 $ is $ n $, the number of complex roots having argument on imaginary axis is $ m $, and the number of complex roots having argument in the second quadrant is $ k $, then $ m.n.k $ is:

If $ (\alpha, \beta, \gamma) $ are the direction cosines of an angular bisector of two lines whose direction ratios are (2,2,1) and (2,-1,-2), then $ (\alpha + \beta + \gamma)^2 $ is:

Which of the following, on thermal decomposition, form both acidic and basic oxides along with O$_2$?
(i) NaNO3
(ii) Ca(NO3)2
(iii) Be(NO3)2
(iv) LiNO3

Impure silver ore + CN⁻ + H₂O → [X]⁻ + OH⁻
[X]⁻ + Zn → [Y]²⁺ + Ag (pure)
The co-ordination numbers of the metals in [X], [Y] are respectively: