One Stop GATE Forum: ECE GATE sample paper

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1
          The impurity commonly used for realizing the
            base region of a silicon n-p-n transistor is

          
        
        
          Options
          
            
                
              
                  A) Gallium 
                  B) Indium

                  
                
                
                  C) Boron 
                  D) Phosphorus
                
              
            
          
        
        
          

          

        
        
          Correct Answer
          C
        
        
          

        
        
          2
          Despite the presence of negative feedback,
            control system still have problems of instability because the
        
        
          Options
          
            
                
              
                  A) components used have nonlinearities.
                  B) dynamic equations of the subsystems are not
                    known exactly.
                
                
                  C) mathematical analysis involves approximations.
                  D) system has large negative phase angle at high
                    frequencies.
                
              
            
          
        
        
          

          

        
        
          Correct Answer
          A
        
        
          

        
        
          3
          The drain of an n-channel MOSFET is shorted to
            the gate so that V_GS = V_DS. The threshold
            voltage (V_T) of MOSFET is 1 V. If the drain current (I_D)
            is 1 mA for V_GS = 2V, then for V_GS = 3V, I_D
            is
        
        
          Options
          
            
                
              
                  A) 2 mA
                  B) 3 mA
                
                
                  C) 9 mA
                  D) 4 mA
                
              
            
          
        
        
          

          

        
        
          Correct Answer
          D
        
        
          

        
        
          4
          Let x(n) = (
            
                
              
                  1
                
                
                  2
                
              
            
            )ⁿ u(n), y(n)=x²(n) and Y(e^jw)
            be the Fourier transform of y(n). Then Y(e^j0) is
        
        
          Options
          
            
                
              
                  A)
                    
                        
                      
                          1
                        
                        
                          4
                        
                      
                    
                  
                  B) 2
                
                
                  C) 4
                  D)
                    
                        
                      
                          4
                        
                        
                          3
                        
                      
                    
                  
                
              
            
          
        
        
          

          

        
        
          Correct Answer
          A
        
        
          

        
        
          5
          Noise with uniform power spectral density of N₀W/Hz
            is passed through a filter H (w) = 2
            exp(-jwt_d) followed by an
            ideal low pass filter of bandwidth BHz. The output noise power in
            Watts is

          
        
        
          Options
          
            
                
              
                  A) 2N₀B 
                  B) 4N₀B

                  
                
                
                  C) eN₀B 
                  D) 16 N₀B
                
              
            
          
        
        
          

          

        
        
          Correct Answer
          B
        
        
          

        
        
          6
          Consider the following statements S1 and S2

            S1: At the resonant frequency the impedance of a series R-L-C
            circuit is zero.

            S2: In a parallel G-L-C circuit, increasing the conductance G
            results in increase in its Q factor.

            Which one of the following is correct?

             
        
        
          Options
          
            
                
              
                  A) S1 is FALSE and S2 is TRUE 
                  B) Both S1 and S2 are TRUE

                  
                
                
                  C) S1 is TRUE and S2 is FALSE 
                  D) Both S1 and S2 are FALSE
                
              
            
          
        
        
          

          

        
        
          Correct Answer
          D
        
        
          

        
        
          7
          A signal x(n) = sin(w₀n
            + f ) is the input to a linear
            time-invariant system having a frequency response H(e^(jw ).
            If the output of the system Ax(n – n₀), then the most
            general form of ÐH(ejw) will be
        
        
          Options
          
            
                
              
                  A) - n₀w₀ + b 
                    for any arbitrary real b.
                  B) - n₀w₀ + 2pk
                    for any arbitrary integer k.
                
                
                  C) n₀w₀ + 2pk
                    for any arbitrary integer k.
                  D) -n₀w₀ f .
                
              
            
          
        
        
          

          

        
        
          Correct Answer
          B
        
        
          

        
        
          8
          Consider a lossless antenna with a directive
            gain of +6dB. If 1 mW of power is fed to it the total power radiated
            by the antenna will be
        
        
          Options
          
            
                
              
                  A) 4 mW
                  B) 1 mW
                
                
                  C)

                    7 mW                                                      
                  D) 1/4 mW
                
              
            
          
        
        
          

          

        
        
          Correct Answer
          A
        
        
          

        
        
          9
          A MOS capacitor made using p type substrate is
            in the accumulation mode. The dominant charge in the channel is due
            to the presence of

          
        
        
          Options
          
            
                
              
                  A)  holes 
                  B)  electrons

                  
                
                
                  C)  positively charged ions 
                  D)  negatively charged ions
                
              
            
          
        
        
          

          

        
        
          Correct Answer
          B
        
        
          

        
        
          10
          
            Choose the correct one from among the alternatives A, B, C, D
            after matching an item from Group 1 with the most appropriate item
            in Group 2.
             
            

                
              
                  Group1
                  Group 2
                
                
                  1: FM

                    2: DM

                    3: PSK

                    4: PCM
                  P: Slope overload

                    Q: m -law

                    R: Envelope detector

                    S: Capture effect

                    T: Hilbert transform

                    U: Matched filter
                
              
            
          
        
        
          Options
          
            
                
              
                  A) 1-T,  2-P,   3-U,   4-S
                  B) 1-S,   2-U,   3-P,  
                    4-T
                
                
                  C) 1-S,   2-P,   3-U,  
                    4-Q
                  D) 1-U,   2-R,   3-S,  
                    4-Q
                
              
            
          
        
        
          

          

        
        
          Correct Answer
          C


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