Important Paper GATE  Instrumentation  Engineering

1. If the A-matrix of the state space model of a SISO linear time Invariant system is rank deficient, the transfer function of the system must have
(a) a pole with a positive real part
(b) a pole with a positive real part
(c) a pole with a positive imaginary part
(d) a pole at the origin
Ans. (d)
2. Two systems with impulse responses h1(t) and h2(t) are connected in cascade. Then the overall impulse response of the cascaded system is given by
(a) product of h1(t)  and  h2(t)
(b) sum of h1(t)   and h2(t)
(c) Convolution of h1(t)  and h2(t)
(d) subtraction of  h1(t)  and h2(t)
Ans. (c)
3. A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency in kHz which is not valid is
(a) 5                                       
(b) 12
(c) 15                                     
(d) 20
Ans. (a)
4. A bulb is a staircase has two switches one switch being at the ground floor and the other one at the first floor. The bulb can be turned ON and also can be turned OFF by any one of the switches irrespective of the state of the other switch. The logic of switching of the bulb resembles
(a) an AND gate                  
(b) an OR gate
(c) an XOR gate                  
(d) a NAND gate
Ans. (c)
5. An electrometer has input range of 0 to 10 g. natural frequency 30 Hz and mass 0.001 kg. The range of the secondary displacement transducer in mm required to cover the input range is
(a) 0 to 2.76                         
(b) 0 to 9.81
(c) 0 to 11.20                       
(d) 0 to 52.10
Ans. (a)
6. The thermal time constant of the hot wire under flowing air condition is ms is
(a) 24.5                                 
(b) 12.25
(c) 6.125                               
(d) 3.0625
Ans. (b)
7. At steady state, the resistance of the wire in  is
(a) 10.000                            
(b) 10.144
(c) 12.152                             
(d) 14.128
Ans. (b)
8. The maximum frequency of a force signal in Hz below the natural frequency within its useful midband range of measurement, for which the gain amplitude is less than 1.05, approximately is,
(a) 35                                    
(b) 350
(c) 3500                                
(d) 16  x 103
Ans. (d)
9. the minimum frequency of a force signal in Hz within its useful mid-band range of measurement, for which the gain amplitude is more than 095, approximately is,
(a) 16                                    
(b) 160
(c) 1600                                
(d) 16 x 103
Ans. (b)
10. They were requested not to quarrel with others Which one of the following options is the closest in meaning to the word quarrel?
(a) make out                        
(b) call out
(c) dig out                             
(d) fall out
Ans. (b)
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