Introduction to Systems MCQ

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

Introduction to Signals 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

  1. is linear
  2. is causal
  3. have bounded input for bounded output
  4. 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

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