Q1:

Which of the following system is invertible

1.y(t)=2 x(t)

2.y(t)= x⁴(t)

3. y[n]=nx[n]

4. y(t)=${\displaystyle \underset{-\infty }{\overset{t}{\int }}x(\tau )d\tau }$

Q2:

Which of the following signal are odd signal

Q3:

Given two continuous time signals x(t) = e^-t and y(t) = e^-2t which exist for t>0, the convolution z(t) =x(t) *y(t) is:

Q4:

Given the relationship between the input u(t) and the output y(t) to be

$y(t)={\displaystyle \underset{0}{\overset{t}{\int }}(2+t-\tau )e^{-3(t-\tau )}}u(\tau )d\tau$

The transfer function Y(s)/U(s) is

Q5:

The value of the integral ${\displaystyle \underset{-5}{\overset{+6}{\int }}{e}^{-2t}}\delta (t-1)dt$ is equal to

Q6:

A current impulse of 5$\delta$(t), is forced through a capacitor ‘c’. The voltage V_c(t),across the capacitor is given by

Q7:

The value of ${\displaystyle {\int }_{-\infty }^{\infty }{e}^{-t}\delta (2t-2)dt,}$where $\delta (t)$is the Dirac delta function, is

Q8:

A function is given by f(t)=sin²t+cos2t.

Which of the following is true?

Q9:

Which one of the signal is non-periodic

Q10:

y[n] = x[-n]. Comment on its causality:

Q11:

Which one of the signal is periodic

Q12:

A continuous time system is described by$y\left(t\right)=e^{-\left|x\left(t\right)\right|}$,where y(t) is the output and x(t) input. Then y(t) is bounded

Q13:

If the unit step response of a network is $(1-e^{-\alpha t})$then its unit impulse response is

Q14:

A system is defined by its impulse response

h(n) = 2ⁿu(n-2).   The system is

Q15:

Which of the following options are correct

1. $\delta$(nt) =$\frac{1}{n}$$\delta$(t)

2. $\delta$(nt)=n$\delta (t)$

3. $\delta$(nt)=$\delta$(t)

4. $\delta$[2n]=$\delta$[n]