One Stop GATE Forum: E&E GATE Sample paper

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          1
          A hydraulic turbine having rated speed of 250
            rpm is connected to a synchronous generator. In order to produce
            power at 50 Hz, the number of poles required in the generator are
        
        
          Options
          
            
                  A) 6 
                  B) 12

                  
                  C) 16
                  D) 24

                  
          Correct Answer
          D
        
        
          2
          For the equation x(t)+3 x(t) +2x(t) = 5, the
            solution x (t) approaches which of the following values as t ® ¥ ?
        
        
          Options
          
            
                  A) 0
                  B)
                    
                        
                          5
                        
                        
                          2
                        
                      
                  C) 5
                  D) 10
                
              
          Correct Answer
          B
        
        
          3
          The following motor definitely has a permanent
            magnet rotor
        
        
          Options
          
            
                  A) DC commutator motor 
                  B) Brushless dc motor

                  
                  C) Stepper motor 
                  D) Reluctance motor
                
              
          Correct Answer
          C
        
        
          4
          A110 kV, single core coaxial, XLPE insulated
            power cable delivering power at 50Hz, has a capacitance of 125 nF/km.
            If the dielectric loss tangent of XLPE is 2 x 10^-4, the
            dielectric power loss in this cable in W/km is
        
        
          Options
          
            
                  A) 5.0
                  B) 31.7

                  
                  C) 37.8
                  D) 189.0
                
              
          Correct Answer
          D
        
        
          5
          The simultaneous application of signals x(t)
            and y(t) to the horizontal and vertical plates, respectively, of an
            oscilloscope, produces a vertical figure-of-8 display. If P and Q
            are constants, and x(t) = P sin (4t + 30), then y(t) is equal to
        
        
          Options
          
            
                  A) Q sin (4t - 30)
                  B) Q sin (2t + 15)

                  
                  C) Q sin (8t + 60)
                  D) Q sin (4t + 30)
                
              
          Correct Answer
          B
        
        
          6
          A 500 MW 3-phase Y-connected synchronous
            generator has a rated voltage of 21.5 kV at 0.85pf. The line current
            when operating at full load rated conditions will be
        
        
          Options
          
            
                  A) 13.43 kA 
                  B) 15.79 kA

                  
                  C) 23.25 kA 
                  D) 27.36 kA
                
              
          Correct Answer
          B
        
        
          7
          
            Total instantaneous power supplied by a 3-phase ac supply to a
            balanced R-L load is
          
        
          Options
          
            
                  A) zero
                  B) constant

                  
                  C) pulsating with zero average 
                  D) pulsating with non-zero average
                
              
          Correct Answer
          B
        
        
          8
          The equivalent circuit of a transformer has
            leakage reactances X₁ , X
        
        
          Options
          
            
                  A) X₁>> X
                  B) X₁<< X
                
                
                  C) X₁» X
                  D) X₁» X
                
              
          Correct Answer
          D
        
        
          9
          If P and Q are two random events, then the
            following is TRUE

          
          Options
          
            
                  A) Independence of P and Q implies that probability
                    (P  Q
                    ) = 0

                  
                  B) Probability (P 
                    Q ) 
                    Probability (P) + Probability (Q)

                  
                  C) If P and Q are mutually exclusive, then they
                    must be independent

                  
                  D) Probability (P 
                    Q ) 
                    Probability (P)

                  
          Correct Answer
          D


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