List of top Questions asked in AP EAPCET

Among the following, the incorrect statement is:
At T (K), a gaseous mixture of H$_2$ and O$_2$ containing 20% (weight/weight) of H$_2$ exerts a total pressure of 2 bar. What is the partial pressure of O$_2$ (in bar)?
The following data is obtained for one mole of a gas. The gas behaves as an ideal gas in the pressure range (in bar)
gas behaves as an ideal gas
If one litre of an ideal gas at a pressure of 20 atm expands isothermally and reversibly to a final volume of 'X' L by absorbing 92.12 L.atm heat, 'X' (in L) is
The self-inductance of a long solenoid of cross-sectional area \( A \), length \( l \) and \( n \) turns per unit length is given by:
To heat the food containing water, the frequency of the microwaves used in microwave oven is:
Eight drops of mercury, each of the same radius and same charge, combine to form a bigger drop. The ratio of the capacitance of the bigger drop to that of each smaller drop is:
Which of the following do not exist?
A straight wire carrying a current of 12 A is bent into a semi-circular arc of radius 2 cm as shown in the figure. Then the magnetic field due to the straight segments at the centre of the arc is
A straight wire carrying a current of 12 A
Choose the correct option with respect to the statements A and B.
Among the following, the charge that does not exist on any type of charged body is:
A diatomic gas has an initial internal energy of 80 cal. A work of 18 cal is done on the gas, and the gas releases heat energy of 42 J. The final internal energy of the gas is:
Three moles of a gas at a temperature \( T \) are heated to thrice its volume by keeping the pressure constant. If \( \gamma \) is the ratio of specific heats, then the increase in internal energy of the gas is:
A 20 g copper block is suspended by a vertical spring causing 1 cm elongation over the natural length of the spring. If a beaker of water is placed below the block so that the copper block is completely immersed in the liquid, the elongation of the spring is (Density of copper 9000 kg m\(^{-3}\), Density of water 1000 kg m\(^{-3}\), \( g = 10 \) ms\(^{-2}\)):
The relation between volume (V) and absolute temperature (T) of a gas in an adiabatic process is:
The vector form of the universal law of gravitation:
A truck of mass 2000 kg is moving along a circular path having a radius of curvature of 10 m. If the banking angle is 39°, then the maximum permissible speed of the truck is (Acceleration due to gravity = 10 ms\(^{-2}\), take tan 39° = 0.81):
The force required to stop a body of mass 10 kg moving along a straight line path with a velocity of 10 ms\(^{-1}\) in a time of 10 s is:
\(\int \frac{8^{1+x} + 4^{1+x}}{2^{2x}} dx =\):
If \(\int \frac{dx}{1 + \sin x} = \tan \left( \frac{x}{2} - \theta \right) + C\), then \(\theta =\):
Let \( n \in (0, \infty) \). If for all the curves \( y = x^n \log x \) for distinct values of \( n \), we have \( y = x - 1 \) as the tangent at a fixed point \((\alpha, \beta)\), then \(\alpha + \beta = \):
If all the normals drawn to the curve \( y = \frac{1 + 3x^2}{3 + x^2} \) at the points of intersection of \( y = \frac{1 + 3x^2}{3 + x^2} \) and \( y = 1 \) pass through the point \( (\alpha, \beta) \), then \( 3\alpha + 2\beta = \):
The locus of the point on the curve \( y = \sin x \) where the tangent drawn at that point always passes through the point \( (0, \pi) \) is:
\( f(x) \) and \( g(x) \) are differentiable functions such that \( \frac{f(x)}{g(x)} = \) a non-zero constant. If \( \frac{f'(x)}{g'(x)} = \alpha(x) \) and \( \left( \frac{f(x)}{g(x)} \right)' = \beta(x) \), then \( \frac{\alpha(x) - \beta(x)}{\alpha(x) + \beta(x)} = \):
Let \( S_n = 1 + 3x + 9x^2 + 27x^3 + \ldots + n \text{ terms} -\frac{1}{3}<x<\frac{1}{3} \). If \( f(x) = S_n \), then \( f(x) \) is discontinuous at the point \( x = \):