List of top Questions asked in Andhra Pradesh Post Graduate Engineering Common Entrance Test

Laplace transform of \( g(t) = \begin{cases} \cos(t-\frac{\pi}{3}), & \text{if } t>\frac{\pi}{3} \\ 0, & \text{if } t<\frac{\pi}{3} \end{cases} \) is
By eliminating a & b from z = ax + by + (a/b) then, P.D.E formed is _____
Let X be a continuous random variable denoting the temperature measured. The range of temperature is [0, 100] degree Celsius and let the probability density function of X be f(x) = 0.01 for \(0 \le X \le 100\). The mean is
The Laplace transform of the function f(t) = t sin t is
Calculate the drift velocity of the free electrons with mobility of (3)5\(\times\)10\(^{-3}\) m\(^2\)/Vs in copper for an electric field strength of 0.5 V/m.
If \(\lambda\) is an eigenvalue of a non-singular matrix A . Then the eigenvalue of (adjA) is
Let A and B be two real symmetric matrices of order n. Then which of the following is true?
If any function is even, in Fourier series it contains
Probability that a leap year has 53 Sundays is
If \( \vec{a}, \vec{b}, \vec{c} \) are unit vectors, then \( |\vec{a}-\vec{b}|^2 + |\vec{b}-\vec{c}|^2 + |\vec{c}-\vec{a}|^2 \) does not exceed
Find the greatest value of the directional derivative of the function \( f = x^2 y z^3 \) at (2,1,-1)
Which characteristic differentiates thermosetting polymers from thermoplastic polymers?
What distinguishes hard magnetic materials from soft magnetic materials in terms of their application?
What is a significant environmental challenge associated with the bottom-up approach in nanotechnology?
A block of mass 5 kg is placed on a frictionless inclined plane. The angle of inclination of the plane is 30 degrees. Calculate the force required to keep the block in equilibrium.
The velocity profile for a Bingham plastic fluid flowing (under laminar conditions) in a pipe.
Which of the following properties is typically NOT enhanced by the addition of carbon in steel?
Calculate the electrical conductivity of a copper wire if the number density of free electrons is 8.5x10\(^{28}\) electrons/m\(^3\) and the electron mobility is 0.0035 m\(^2\)/Vs.
A paramagnetic substance, in the form of a cube with sides 1 cm, has a magnetic dipole moment of 20 x 10\(^{-6}\) J/T, when a magnetic intensity of 60 x 10\(^3\) A/m is applied. Its magnetic susceptibility is
Estimate the surface area of a spherical nanoparticle with a diameter of 10 nm.
Which of the following statements best describes the effect of increasing the temperature on the conductivity of an intrinsic semiconductor?
What is the primary mechanical advantage of cross-linked polymers over linear polymers?
Which factor is most critical when selecting a matrix material for a high-temperature composite application?
Design a study to test the effectiveness of different nano-material coatings to improve the wear resistance of industrial cutting tools. What would be a key variable to control?
Which factor most significantly influences the optical properties of a material such as refractive index and absorption of light?