List of top Questions asked in AP EAMCET

At 300 K, 6 g of urea was dissolved in 500 mL of water. What is the osmotic pressure (in atm) of the resultant solution? (R = 0.082 L atm K$^{-1}$ mol$^{-1}$) (C=12;N=14;O=16;H=1)
The gravitational potential energy of a body on the surface of the Earth is \(E\). If the body is taken from the surface of the Earth to a height equal to \(150%\) of the radius of the Earth, its gravitational potential energy is:

The mass of particle X is four times the mass of particle Y. The velocity of particle Y is four times the velocity of X. The ratio of de Broglie wavelengths of X and Y is: 

The focal length of a thin converging lens in air is 20 cm. When the lens is immersed in a liquid, it behaves like a concave lens of power 1 D. If the refractive index of the material of the lens is 1.5, the refractive index of the liquid is
A line \( L \) passing through the point \( P(-5,-4) \) cuts the lines \( x - y - 5 = 0 \) and \( x + 3y + 2 = 0 \) respectively at \( Q \) and \( R \) such that \[ \frac{18}{PQ} + \frac{15}{PR} = 2, \] then the slope of the line \( L \) is:

An inductor and a resistor are connected in series to an AC source of voltage \( 144\sin(100\pi t + \frac{\pi}{2}) \) volts. If the current in the circuit is \( 6\sin(100\pi t + \frac{\pi}{2}) \) amperes, then the resistance of the resistor is:

If the origin is shifted to remove the first degree terms from the equation \(2x^2 - 3y^2 + 4xy + 4x + 4y - 14 = 0\), then with respect to this new co-ordinate system, the transformed equation of \(x^2 + y^2 - 3xy + 4y + 3 = 0\) is
A wheel of angular speed 600 rev/min is made to slow down at a rate of \( 2 \) rad/s\(^2\). The number of revolutions made by the wheel before coming to rest is
A straight wire of resistance \(R\) is bent in the shape of a square. A cell of emf 12 V is connected between two adjacent corners of the square. The potential difference across any diagonal of the square is:
The mass % of urea solution is 6. The total weight of the solution is 1000 g. What is its concentration in mol L\(^{-1}\)? (Density of water = 1.0 g mL\(^{-1}\))
(Given: C = 12u, N = 14u, O = 16u, H = 1u)
An object of mass 'm' is projected with an initial velocity 'u' with an angle of '\(\theta\)' with the horizontal. The average power delivered by gravity in reaching the highest point is
Two objects having masses in \(1:4\) ratio are at rest. When both of them are subjected to the same force separately, they achieved the same kinetic energy during times \(t_1\) and \(t_2\) respectively. The ratio of \(\frac{t_2}{t_1}\) is
A boat man finds that he can save 8 s in crossing a river by quickest path than by the shortest path. If the velocity of the boat and the river flow are 13 m/s and 12 m/s respectively, then the width of the river is:
A ball falls freely from rest on to a hard horizontal floor and repeatedly bounces. If the velocity of the ball just before the first bounce is 7 m/s and the coefficient of restitution is 0.75, the total distance travelled by the ball before it comes to rest (acceleration due to gravity = 10 ms\(^{-2}\)) is
The length of a metal bar is 20 cm and the area of cross-section is \( 4 \times 10^{-4} \) m\(^2\). If one end of the rod is kept in ice at \( 0^\circ C \) and the other end is kept in steam at \( 100^\circ C \), the mass of ice melted in one minute is 5 g. The thermal conductivity of the metal in Wm\(^{-1}\)K\(^{-1}\) is (Latent heat of fusion = 80 cal/gm)
The concentration of 1L of \( CaCO_3 \) solution is 1000 ppm. What is its concentration in mol \( L^{-1} \)?
(Ca = 40 u, O = 16 u, C = 12 u)
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 \( \frac{M_1}{M_2} = \):
The number of ways in which 17 apples can be distributed among four guests such that each guest gets at least 3 apples is:
If the sum of two roots \( \alpha, \beta \) of the equation \[ x^4 - x^3 - 8x^2 + 2x + 12 = 0 \] is zero and \( \gamma, \delta \) (\( \gamma\delta \)) are its other roots, then \( 3\gamma + 2\delta \) is:

For real values of $ x $ and $ a $, if the expression $ \frac{x+a}{2x^2 - 3x + 1} $ assumes all real values, then:

If the determinant of a 3rd order matrix \( A \) is \( K \), then the sum of the determinants of the matrices \( (AA^T) \) and \( (A - A^T) \) is:
For all positive integers \( n \), if \( 3(5^{2n+1}) + 2^{3n+1 \) is divisible by \( k \), then the number of prime numbers less than or equal to \( k \) is:}
If \( f(x) = \sqrt{x - 1 \) and \( g(f(x)) = x + 2\sqrt{x} + 1 \), then \( g(x) \) is:}
If a function \( f: \mathbb{R} \to \mathbb{R} \) is defined by \( f(x) = x^3 - x \), then \( f \) is:
If \( f(x + h) = 0 \) represents the transformed equation of $$ f(x) = x^4 + 2x^3 - 19x^2 - 8x + 60 = 0 $$ and this transformation removes the term containing \( x^3 \), then \( h \) is: