 
			 
			MCQOPTIONS
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				This section includes 10 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_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. | |
| 2. | 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 | |
| 3. | Consider a characteristic equation, s4+3s3+5s2+6s+k+10=0. The condition for stability i? | 
| 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 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. | K<16 | 
| C. | 9<K<16 | 
| D. | K<9 | 
| Answer» D. K<9 | |
| 7. | Determine the condition for the stability of unity feedback control system whose open loop transfer function is given by | 
| A. | = 2e<sup>-st</sup>/s(s+2) | 
| B. | T >1 | 
| C. | T <0 | 
| D. | T <1 | 
| Answer» D. T <1 | |
| 8. | Determine the stability of closed loop control system whose characteristic equation is | 
| A. | |
| B. | Stable | 
| C. | Marginally stable | 
| Answer» C. Marginally stable | |
| 9. | The open loop transfer functions with unity feedback are given below for different systems. | 
| A. | |
| B. | G(s) =2/s+2 | 
| C. | G(s) =2/s(s+2) | 
| Answer» D. | |
| 10. | 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 | |