List of practice Questions

Feedback control systems are:

Which of the test signals are best utilized by the stability analysis ____ .

What do you mean by duty cycle?

Typically oscilloscope represents _____ .

What is the primary challenge in synthesizing nanoparticles using the bottom-up approach?

The particular integral for the differential equation \( (D^2 - 2D + 1)y = x^2 e^{3x} \) is

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