page 1 | Signals and Systems Multiple Choice Questions

Q11. What is the other name of a Continuous Time Unit Impulse Function?

Dirac delta function

Unit function

Area function

Direct delta function

Q12. What is the rule \(hx = xh\) called?

Associativity rule

Commutativity rule

Transitive rule

Distributive rule

Q13. What is the area of a Unit Impulse function?

Zero

Half of Unity

Depends on the function

Unity

Q14. State whether the integrator system is stable or not.

Unstable

Stable

Partially Stable

All of the mentioned

Q15. In the equation \(x (t) = b\:e^{at}\). If \(a < 0\), then it is called ______.

Growing Exponential

Decaying Exponential

Complex Exponential

Both Growing and Decaying Exponential

Q16. What is the Nyquist rate for a signal \(x(t)=3\cos(1000 \pi t)+43\sin(2000\pi t)\)?

3000 HZ

1000 Hz

2000 Hz

1500 Hz

Q17. If a signal f(t) has energy ‘E’, then the energy of the signal f(2t) is equal to ______.

2E

E

4E

\(\frac{E}{2}\)

Q18. The Laplace transform of \(e^{-4t} \cos(6t)\:u(t)\) is

\(\frac{{\left( {s - 4} \right)}}{{\left( {{{\left( {s - 4} \right)}^2} + 36} \right)}}\)

\(\frac{{\left( {s + 6} \right)}}{{\left( {{{\left( {s + 6} \right)}^2} + 16} \right)}}\)

\(\frac{{\left( {s + 4} \right)}}{{\left( {{{\left( {s + 4} \right)}^2} + 16} \right)}}\)

\(\frac{{\left( {s + 4} \right)}}{{\left( {{{\left( {s + 4} \right)}^2} + 36} \right)}}\)

Q19. The average value of the signal \(2 \cos 100t\) is

\(0\)

\(2\)

\(\frac{1}{\sqrt{2}}\)

\(\sqrt{2}\)

Q20. The system function \(N(s) = \frac{V(s)}{I(s)}=\frac{s+3}{4s + 5}.\) The system is initially at rest. If the excitation \(i(t)\) is a unit step, which of the following is the final value?

\(0\)

\(1\)

\(\frac{3}{5}\)

\(\frac{1}{4}\)

MCQ

SIGNALS & SYSTEMS

Q11. What is the other name of a Continuous Time Unit Impulse Function?

Q12. What is the rule \(hx = xh\) called?

Q13. What is the area of a Unit Impulse function?

Q14. State whether the integrator system is stable or not.

Q15. In the equation \(x (t) = b\:e^{at}\). If \(a < 0\), then it is called ______.

Q16. What is the Nyquist rate for a signal \(x(t)=3\cos(1000 \pi t)+43\sin(2000\pi t)\)?

Q17. If a signal f(t) has energy ‘E’, then the energy of the signal f(2t) is equal to ______.

Q18. The Laplace transform of \(e^{-4t} \cos(6t)\:u(t)\) is

Q19. The average value of the signal \(2 \cos 100t\) is

Q20. The system function \(N(s) = \frac{V(s)}{I(s)}=\frac{s+3}{4s + 5}.\) The system is initially at rest. If the excitation \(i(t)\) is a unit step, which of the following is the final value?

MCQ

SIGNALS & SYSTEMS

Q11. What is the other name of a Continuous Time Unit Impulse Function?

Q12. What is the rule \(h*x = x*h\) called?

Q13. What is the area of a Unit Impulse function?

Q14. State whether the integrator system is stable or not.

Q15. In the equation \(x (t) = b\:e^{at}\). If \(a < 0\), then it is called ______.

Q16. What is the Nyquist rate for a signal \(x(t)=3\cos(1000 \pi t)+43\sin(2000\pi t)\)?

Q17. If a signal f(t) has energy ‘E’, then the energy of the signal f(2t) is equal to ______.

Q18. The Laplace transform of \(e^{-4t} \cos(6t)\:u(t)\) is

Q19. The average value of the signal \(2 \cos 100t\) is

Q20. The system function \(N(s) = \frac{V(s)}{I(s)}=\frac{s+3}{4s + 5}.\) The system is initially at rest. If the excitation \(i(t)\) is a unit step, which of the following is the final value?

Q12. What is the rule \(hx = xh\) called?