 
			 
			MCQOPTIONS
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				This section includes 9 Mcqs, each offering curated multiple-choice questions to sharpen your Control Systems knowledge and support exam preparation. Choose a topic below to get started.
| 1. | The characteristic equation of a system is given by3s4+10s3+5s2+2=0. This system is: | 
| A. | Stable | 
| B. | Marginally stable | 
| C. | Unstable | 
| D. | Linear | 
| Answer» D. Linear | |
| 2. | The polynomial s4+Ks3+s2+s+1=0 the range of K for stability is _____________ | 
| A. | K>5 | 
| B. | -10<K | 
| C. | K>-4 | 
| D. | K-1>0 | 
| Answer» E. | |
| 3. | Consider a characteristic equation, s4+3s3+5s2+6s+k+10=0. The condition for stability is | 
| A. | K>5 | 
| B. | -10<K | 
| C. | K>-4 | 
| D. | -10<K<-4 | 
| Answer» E. | |
| 4. | The characteristic equation of a feedback control system is s3+Ks2+9s+18. When the system is marginally stable, the frequency of the sustained oscillation: | 
| A. | 1 | 
| B. | 1.414 | 
| C. | 1.732 | 
| D. | 3 | 
| Answer» E. | |
| 5. | Consider a negative feedback system where G(s) =1/(s+1) and H(s) =K/s(s+2). The closed loop system is stable for | 
| A. | K>6 | 
| B. | 0<K<2 | 
| C. | 8<K<14 | 
| D. | 0<K<6 | 
| Answer» E. | |
| 6. | Determine the condition for the stability of unity feedback control system whose open loop transfer function is given byG(s) = 2e-st/s(s+2)a) T >1b) T | 
| A. | T >1b) T <0c) T <1d) T >0 5.Determine the value of K such that roots of characteristic equation given below lies to the left of the line s = -1. s3+10s2+18s+K.a) K>16 and K<9 | 
| B. | T <0c) T <1d) T >0 5.Determine the value of K such that roots of characteristic equation given below lies to the left of the line s = -1. s3+10s2+18s+K.a) K>16 and K<9b) K<16 | 
| C. | T <1d) T >0 5.Determine the value of K such that roots of characteristic equation given below lies to the left of the line s = -1. s3+10s2+18s+K.a) K>16 and K<9b) K<16c) 9<K<16 | 
| D. | T >0 5.Determine the value of K such that roots of characteristic equation given below lies to the left of the line s = -1. s3+10s2+18s+K.a) K>16 and K<9b) K<16c) 9<K<16d) K<9View Answer | 
| Answer» D. T >0 5.Determine the value of K such that roots of characteristic equation given below lies to the left of the line s = -1. s3+10s2+18s+K.a) K>16 and K<9b) K<16c) 9<K<16d) K<9View Answer | |
| 7. | Determine the stability of closed loop control system whose characteristic equation iss5+s4+2s3+2s2+11s+10=0. | 
| A. | Stable | 
| B. | Marginally stable | 
| C. | Unstable | 
| D. | None of the mentioned | 
| Answer» C. Unstable | |
| 8. | The open loop transfer functions with unity feedback are given below for different systems.Among these systems the unstable system is | 
| A. | G(s) =2/s+2 | 
| B. | G(s) =2/s(s+2) | 
| C. | G(s) =2/(s+2)s^2 | 
| D. | G(s) =2(s+1)/s(s+2) | 
| Answer» D. G(s) =2(s+1)/s(s+2) | |
| 9. | A system with unity feedback having open loop transfer function as G(s) = K(s+1)/s3+as2+2s+1. What values of ‘K’ and ’a’ should be chosen so that the system oscillates ? | 
| A. | K =2, a =1 | 
| B. | K =2, a =0.75 | 
| C. | K =4, a =1 | 
| D. | K =4, a =0.75 | 
| Answer» C. K =4, a =1 | |