One Stop GATE Forum: E&E GATE Sample paper

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1
          
            A 50 kW dc shunt motor is loaded to draw rated armature current
            at any given speed. When driven

            (i) at half the rated speed by armature voltage control and

            (ii) at 1.5 times the rated speed by field control, the
            respective output powers delivered by the motor are approximately.
          
        
          Options
          
            
                  A) 25kW in (i) and 75kW in (ii)    
                  B) 25kW in (i) and 50kW in (ii)

                  
                  C) 50kW in (i) and 75kW in (ii)
                  D) 50kW in (i) and 50kW in (ii)Correct Answer
          B


2
          A fair coin is tossed three times in
            succession. If the first toss poduces a head, then the probability
            of getting exactly two heads in three tosses is
        
        
          Options
          
            
                  A)
                    
                        
                          1
                        
                        
                          8
                        
                      
                  B)
                    
                        
                          1
                        
                        
                          2
                        
                      
                  C)
                    
                        
                          3
                        
                        
                          8
                        
                      
                  D)
                    Correct Answer
          D


3
          In the matrix equation Px = q, which of the
            following is a necessary condition for the existence of at least one
            solution for the unknown vector x:

          
          Options
          
            
                  A) Augmented matrix [Pq] must have the same rank as
                    matrix P

                  
                  B) Vector q must have only non-zero elements

                  
                  C) Matrix P must be singular

                  
                  D) Matrix P must be squareCorrect Answer
          A


4
          At an industrial sub-station with a 4 MW load,
            a capacitor of 2 MVAR is installed to maintain the load power factor
            at 0.97 lagging. If the capacitor goes out of serivce, the load
            power factor becomes
        
        
          Options
          
            
                  A)  0.85 
                  B) 1.00

                  
                  C) 0.80 lag 
                  D) 0.90 lagCorrect Answer
          C


5
          In  the  GH(s) plane,   the
            Nyquist plot of the  loop  transfer function

            G(s)H(s) = 
            
                
                  p e^-0.25 
                
                
                  s
                
              
            asses through the negative real axis at the point

          
          Options
          
            
                  A) (-0.25, j0) 
                  B) (-0.5, j0)

                  
                  C) (-l, j0)
                  D) (-2, j0)Correct Answer
          B


6
          If S =
            
                
                  ò
                  
                    
                          ¥
                        
                        
                          x^-3 dx, then S has the value
                        
                        
                          1
                        
                      
          Options
          
            
                  A)
                    
                        
                          -1
                        
                        
                          3
                        
                      
                  B)
                    
                        
                          1
                        
                        
                          4
                        
                      
                  C)
                    
                        
                          1
                        
                        
                          2
                        
                      
                  D) 1Correct Answer
          C


7
          The following motor definitely has a permanent
            magnet rotor
        
        
          Options
          
            
                  A) DC commutator motor 
                  B) Brushless dc motor

                  
                  C) Stepper motor 
                  D) Reluctance motorCorrect Answer
          C


8
          The conduction loss versus device current
            characteristic of a power MOSFET is best approximated by
        
        
          Options
          
            
                  A) a parabola

                  
                  B) a straight line

                  
                  C) a rectangular hyperbola

                  
                  D) an exponentially decaying functionCorrect Answer
          A


9
          A digital-to-analog converter with a full-scale
            output voltage of 3.5 V has a resolution close to 14m V. Its bit
            size is
        
        
          Options
          
            
                  A) 4
                  B) 8
                
                
                  C) 16
                  D) 32Correct Answer
          B


10
          A 50 Hz, bar primary CT has a secondary with
            500 turns. The secondary supplies 5 A current into a purely
            resistive burden of l W. The magnetizing ampere-turns is 200. The
            phase angle between the primary and secondary current is
        
        
          Options
          
            
                  A) 4.6°

                  
                  B) 85.4°
                
                
                  C) 94.6°

                  
                  D) 175.4°Correct Answer
          A


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