PYQs Based Test - 03 : Signals and Systems

The highest frequency present in the signal x(t) is f${}_{max}$. The highest frequency present in the signal y(t) = x²(t) is

If a continuous-time signal x(t) = cos(2πt) is sampled at 4 Hz, the value of the discrete-time sequence x(n) at n = 5 is

An ideal square wave with period of 20 ms shown in the figure, is passed through an ideal low pass filter with cut-off frequency 120 Hz. Which of the following is an accurate description of the output?

Consider signal x≤ft( t ) = ≤ft\{ {*20c 1,&≤ft| t | ≤ 2\\ 0,&≤ft| t | > 2 } . Let 𝛿(𝑡) denote the unit impulse (Dirac-delta) function. The value of the integral $\underset{0}{\overset{5}{\int }}2x\left(t-3\right)\delta \left(t-4\right)$ dt is

A system is described by the following differential equation:

$\frac{dy\left(t\right)}{dt}+2y\left(t\right)=\frac{dx\left(t\right)}{dt}+x\left(t\right),x\left(0\right)=y\left(0\right)=0$

Where x(t) and y(t) are the input and output variables respectively. The transfer function of the inverse system is