101. For the system shown, the transfer function C(s) R(s) is equal to
     
     

1. 1. 	10
      	s2 + s + 10

      
      

   
   
   

   2. 	10
      	s2 + 11s + 10

      
      

   
   
   

   3. 	10
      	s2 + 9s + 10

      
      

   
   
   

   4. 	10
      	s2 + 2s + 10

      
      

   
   
   

---

1. View Hint View Answer Discuss in Forum

   C(s) =		10
   		s(s + 1)		=	10
   	1 +	10	× s		s2 + 11s
   		s(s + 1)

   
   

   	C(s)	=		10		=	10
   				s2 + 11s
   	R(s)		1 +	10			s2 + 11s + 10
   				s2 + 11s

   
   

   Correct Option: B

   C(s) =		10
   		s(s + 1)		=	10
   	1 +	10	× s		s2 + 11s
   		s(s + 1)

   
   

   	C(s)	=		10		=	10
   				s2 + 11s
   	R(s)		1 +	10			s2 + 11s + 10
   				s2 + 11s

   
   

---

102. Consider a simple mass-spring-friction system as given in the figure
     
     k₁ = spring constant f = friction
     M = mass F = force
     x = displacement
     

     The transfer function	X(s)	of the given system will be
     	F(s)

     
     

1. 1. 	1
      	Ms2 + fs + K1.K2

   
   
   

   2. 	1
      	Ms2 + fs + K1 + K2

   
   
   

   3. 	1
      	Ms2 + fs +	K1.K2
      		K1 + K2

   
   
   

   4. 	K2
      	Ms2 + fs + K1

   
   
   

---

1. View Hint View Answer Discuss in Forum

   F = M.	d2x	+ f	dx	+ (K1 + K2)x
   	dt2		dt

   
   ∴ F(s) = Ms² X(s) + f. s X(s) + (K₁ + K₂) X(s)
   

   ⇒	X(s)	=	1
   	F(s)		Ms2 + fs + (K1 + K2)

   
   

   Correct Option: B

   F = M.	d2x	+ f	dx	+ (K1 + K2)x
   	dt2		dt

   
   ∴ F(s) = Ms² X(s) + f. s X(s) + (K₁ + K₂) X(s)
   

   ⇒	X(s)	=	1
   	F(s)		Ms2 + fs + (K1 + K2)

   
   

---

---

103. The transfer function C(s)/ R(s) of the system, whose block diagram is given below is
     

1. 1. 	G1 G2
      	1 + G1H1 + G2H2 - G1G2H1H2

   
   
   

   2. 	G1 G2
      	1 + G1H1 + G2H2 + G1G2H1H2

   
   
   

   3. 	G1 G2
      	1 + G1H1 + G2H2

   
   
   

   4. 	G1(1 + G2H2) + G2(1 + G1H1)
      	1 + G1H1 + G2H2 + G1G2H1H2

   
   
   

---

1. View Hint View Answer Discuss in Forum

   NA
   

   Correct Option: B

   NA
   

---

104. The closed loop system shown in the figure is subjected to a disturbance N(s). The transfer function
     

     	C(s)	is given by
     	N(s)

     
     

1. 1. 	G1 G2
      	1 + G1 G2 H

   
   
   

   2. 	G2
      	1 + G2 H

   
   
   

   3. 	G1
      	1 + G1 H

   
   
   

   4. 	G2
      	1 + G1 G2 H

   
   
   

---

1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: D

   NA

---

---

105. The transfer function of the system shown in the given figure is
     
     

1. 1. 	1
      	1 + τ s

      
      

   
   
   

   2. 	1
      	(1 + τ s)2

      
      

   
   
   

   3. 	τ s
      	1 + τ s

      
      

   
   
   

   4. 	τ s
      	(1 + τ s)2

      
      

   
   
   

---

1. View Hint View Answer Discuss in Forum

   T(s) =	Eo(s)	=	Eo(s)		V(s)
   	Ei(s)		V(s)		Ei(s)

   
   

   =	1	.	1	=	1
   	RCs + 1		RCs + 1		(1 + τs)2

   
   

   Correct Option: B

   T(s) =	Eo(s)	=	Eo(s)		V(s)
   	Ei(s)		V(s)		Ei(s)

   
   

   =	1	.	1	=	1
   	RCs + 1		RCs + 1		(1 + τs)2

   
   

---