Introduction to Systems MCQ
Introduction to Systems MCQ, Multiple Choice Questions on Systems, Signal & Systems MCQ, Engineering MCQ, Causal System MCQ, Non-Causal System MCQ, Discrete-Time System MCQ, Linear System MCQ, Non-Linear System MCQ
Multiple Choice Questions
Q.1. Consider the following statements regarding a discrete system with the out-put input relationship y(n)=x(n)+3. The system
- is linear
- is causal
- have bounded input for bounded output
- is non-realisable
- 1, 2, and 3 are correct
- 2 and 3 are correct
- 1 and 2 are correct
- 1, 3 and 4 are correct
Answer: 2 and 3 are correct
Q.2. Which are of the following system is nonlinear?
- y(t)=2x(t-1)-3x(t-2)+x(t-3)
- y(t)=5x(t)
- y(t)=2x(t-1)-x(t-2)+x(t-4)
- y(t)=2x(t)+3.6
Answer: y(t)=2x(t)+3.6
Q.3. Which are of the following systems are invertible?
- y(n)=nx(n)
- y(n)=x(n)x(n-1)
- y(n)=\frac{\mathrm{d} x(t)}{\mathrm{d} x}
- y(n)=x(1-n)
Answer: y(n)=x(1-n)
Q.4. Which are of the following pairs is NOT correctly matched?
- unstable system \frac{\mathrm{d}y }{\mathrm{d} x}-0.1y(t)=x(t)
- Nonlinear system \frac{\mathrm{d}y }{\mathrm{d} x}+2t^{2}y(t)=x(t)
- Noncausal system y(t)=x(t+2)
- Nondynamic system y(t)=3x^{2}(t)
Answer: Nonlinear system \frac{\mathrm{d}y }{\mathrm{d} x}+2t^{2}y(t)=x(t)
Q.5. The discrete-time equation y(n+1)+0.5ny(n)=0.5x(n+1) is not attributable to a
- memory less system
- time-varying system
- linear system
- causal system
Answer: memory less system
Q.6. A continuous-lime system is governed by the equation 3y^{3}(t)+2y^{2}(t)+y(t)=x^{2}(t)+x(t), The system is
- linear and dynamic
- linear and non-dynamic
- non-linear and dynamic
- non-linear and non-dynamic
Answer: non-linear and non-dynamic
Q.7. Which one of the following systems is a causal system
- y(t)=\sin [u(t+3)]
- y(t)=5u(t) +3u(t-1)
- y(t)=5u(t) +3u(t+1)
- y(t)=\sin [u(t-3)]+\sin [u(t+3)]
Answer: y(t)=5u(t) +3u(t-1)
Q.8. Which one of the following is the response y(t) of a causal LTI system described by H(s)=\frac{s+1}{s^{2}+2s+2}, for a given input x(t)=e^{-t}u(t)
- y(t)=e^{-t}\sin tu(t)
- y(t)=e^{-(t-1)}\sin (t-1)u(t-1)
- y(t)=\sin (t-1)u(t-1)
- y(t)=e^{-t}\cos tu(t)
Answer: y(t)=e^{-t}\sin tu(t)
Q.9. The discrete time system described by y(n)=x(n^{2}) is
- causal, linear and time variant
- causal, linear and time variant
- non-causal, linear and time invariant
- non-causal, linear and time-variant
Answer: non-causal, linear and time-variant
Q.10. The system y(n)=x(Mn), -\infty < n< \infty where M is a positive constant is
- shift variant
- shift invariant
- non-causal
- causal
Answer: shift variant & non-causal
Q.11. The system y(n+2)+y(n+1)=x(n+2) is
- causal and memory less
- causal and has memory
- is causal
- is non-causal
Answer: causal and has memory
Q.12. For the systems shown below which of the systems are linear?
- \frac{\mathrm{d}y }{\mathrm{d} x}+2y(t)=f(t)\frac{\mathrm{d} f}{\mathrm{d} x}
- \frac{\mathrm{d}y }{\mathrm{d} x}+y^{2}(t)=f(t)
- \frac{\mathrm{d}y }{\mathrm{d} x}+2y(t)=f(t)
- \frac{\mathrm{d}y }{\mathrm{d} x}+2ty(t)=f(t)
Answer: \frac{\mathrm{d}y }{\mathrm{d} x}+2y(t)=f(t) & \frac{\mathrm{d}y }{\mathrm{d} x}+2ty(t)=f(t)
Q.13. Which of the following systems is time-invariant?
- y(t)=x(2t)
- y(t)=x(t)+x(t-1)
- y(t)=x(t/2)
- y(t)=x(-t)
Answer: y(t)=x(t)+x(t-1)
Q.14. The system y(t)=x(3t-6) is
- linear, time variant
- linear, time invariant
- nonlinear, time variant
- nonlinear, time invariant
Answer: linear, time variant
Q.15. The system y(n)=x(n)x(n-1) is
- dynamic and linear
- dynamic, nonlinear
- causal and time invariant
- noncausal, time variant
- Answer: dynamic and nonlinear & causal and time invariant
Q.16. Which of the following systems is invertible?
- y(t)=\int_{-\infty }^{t}x(t)d\tau
- y(t)=x(2t-3)
- y(t)=\cos [x(t)]
- y(t)=x^{n}(t) n integer
Answer: y(t)=\int_{-\infty }^{t}x(t)d\tau & y(t)=x(2t-3)
Q.17. The system y(t)=e^{x(t)} is
- Stable, causal
- noncausal, stable
- unstable, causal
- unstable noncausal
Answer: Stable, causal
Q.18. The system y(n)=\cos [x(n)] is
- stable, linear, time variant
- stable, nonlinear, time invariant
- unstable, nonlinear, time variant
- unstable, linear, time invariant
Answer: stable, nonlinear, time invariant
Q.19. Which of the following system are BIBO stable?
- y(n)=\sum_{k=-\infty }^{\infty }x(k)
- y(n)=a^{x(n)}
- y(n)=\left|x(n) \right|
- y(n)=log_{10}[x(n)]
Answer: y(n)=a^{x(n)}, y(n)=\left|x(n) \right| & y(n)=log_{10}[x(n)]
Q.20. If x(t) is the input and y(t) is zero-state response to y(t) then the system y(t)=\int_{-\infty }^{t}tx(\lambda )d\lambda is
- causal, static
- causal, dynamic
- noncausal, dynamic
- non-causal, static
Answer: causal, dynamic