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30 Questions MCQ Test - Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz

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Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 1

A system is described by the following differential equation: 

Where x(t) and y(t) are the input and output variables respectively. The transfer function of the inverse system is

Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 1

We know for inverse system

So the transfer function of inverse system is H1 =  

It is given that 
 + zy (t) =  + x (t)
⇒ SY (S) + 2Y (S) = SX (S) + X (S)
⇒ Y (S + 2) = X (S) (S +1)
⇒  = 

*Answer can only contain numeric values
Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 2

If v is a non-zero vector of dimension  then the matrix A=vvT has a rank = _______


Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 2

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*Answer can only contain numeric values
Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 3

A periodic signal x(t) is shown in the figure. The fundamental frequency of the signal x (t) in Hz is________.


Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 3

Fince fundamental time period T0=1 so the fundamental frequency f0=1/T0=1Hz

Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 4

The silicon diode, shown in the figure, has a barrier potential of 0.7 V. There will be no forward current flow through the diode, if Vdc, in volt, is greater than

Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 4

Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 5

For a first order low pass filter with unity d.c. gain and -3 dB corner frequency of 2000π rad/s, the transfer function is

Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 5

A first order LPF that satisfy unity D.C. Gain should of forms

Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 6

A and B are the logical inputs and X is the logical output shown in the figure. The output X is related to A and B by

Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 6

Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 7

The most suitable pressure gauge to measure pressure in the range of 10-4 to10-3 torr is

Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 7

Pirani Gauge is best suitable for the above range 10-4 to 10-3 torr Application is to measure ‘‘Vacuum Pressure

Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 8

The standard for long distance analog signal transmission in process control industry is

Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 8

In process industries, the control signal used is
Current → 4-20 mA
Pressure→ 3-15 psi

Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 9

If a continuous-time signal x (t) = cos (2πt) is sampled at 4 Hz, the value of the discrete-time sequence x(n) at n = 5 is

Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 9

x (t) = cos (2πt)
If the sampling interval is Ts then the sampled signal 

Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 10

The term hysteresis is associated with

Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 10

Hyeres’s is need to be introduce in on off control to reduce the oscillation.

Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 11

A current waveform, i(t), shown in the figure, is passed through a Permanent Magnet Moving coil (PMMC) type ammeter. The reading of the ammeter up to two decimal places is 

Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 11

Consider the PMMC as zero centered meter
Average value of the above signal is 

Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 12

The connection of two 2-port networks is shown in the figure. The ABCD parameters of N1 and N2 networks are given as 

The ABCD  parameters of the combined 2-port network are

Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 12

Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 13

The figure shows a shape ABC and its mirror image A1B1C1 across the horizontal axis (X - axis). The coordinate transformation matrix that maps ABC to A1B1C1 is

Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 13

B (x y2) → (x- y2)

*Answer can only contain numeric values
Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 14

The differential amplifier, shown in the figure, has a differential gain of Ad = 100 and common mode gain of Ac = 0.1. If V1 = 5.01 V and V2 = 5.00V, then V0, in volt (up to one decimal place) is ___________.


Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 14

Given
Ac = 0.1; V1 = 5.01V; V2 = 5.00V; Ad = 100
V0 =  Ad Vd + Ac Vc

*Answer can only contain numeric values
Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 15

A circuit consisting of dependent and independent sources is shown in the figure. If the voltage at Node-1 is – 1 V, then the voltage at Node-2 is _________V.


Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 15

I2 = 1 - (-1) = 2A
 

Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 16

The eigen values of the matrix 

Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 16

*Answer can only contain numeric values
Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 17

The figure shows a phase locked loop. The output frequency is locked at f0 = 5kHz. The value of fi in kHz is __________.


Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 17

f0 = nfi
fi = 5/5 = 1kHz

Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 18

Identify the instrument that does not exist:

Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 18

To Measure power we require to coils (C.C & P.C)
→ Dynamo meter will consist two coils. So it can measure power.
→ Dynamo meter can also measure current and voltage, if we connect C.C & P.C in series.
→ Moving Iron meter will have only one coil, so it can measure current and voltage But not power.
Note: Moving Iron wattmeter doesn’t exist.

Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 19

The output Vo shown in the figure, in volt, is close to

Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 19

*Multiple options can be correct
Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 20

An 8-bit microcontroller with 16 address lines has 3 fixed interrupts i.e., Int1, Int2 and Int3 with corresponding interrupt vector addresses as 0008H. 0010H and 0018H. To execute a 32-byte long Interrupt Service Subroutine for Int1 starting at the address ISSI, The location 0008H onwards should ideally contain

*Answer can only contain numeric values
Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 21

A series R-L-C circuit is excited with a 50V, 50 Hz sinusoidal source. The voltage across the resistance and the capacitance are shown in the figure. The voltage across the inductor (VL) is __________V


Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 21

bc3 VR =  V = 50V ⇒ The circuit is at resonance
at resonance VL = Vc ⇒ VL = 50V

Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 22

The condition for oscillation in a feedback oscillator circuit is that at the frequency of oscillation, initially the loop gain is greater than unity while the total phase shift around the loop in degree is

Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 23

Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 23

Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 24

The region of Convergence (ROC) of the Z-transform of a causal unit step discrete-time sequence is

Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 24

The Z-transform of unit step sequence is 

Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 25

The pressure drop across an orifice plate for a particular flow rate is 5 kg/m2. If the flow rate is doubled (within the operating range of the orifice), the corresponding pressure drop in kg/m3 is

Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 25

In case of an orifice plate

*Answer can only contain numeric values
Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 26

The two-input voltage multiplier, shown in the figure, has a scaling factor of 1 and produces voltage output. If V1 =+15V and V2 =+3V, the value of V0 in volt is _________.


Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 26

Given V1 = 15V; V2= 3V
U sin g nodal analysis

*Answer can only contain numeric values
Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 27

For the circuit, shown in the figure, the total real power delivered by the source to the loads is _________kW


Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 27

*Answer can only contain numeric values
Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 28

The magnetic flux density of an electromagnetic flow meter is 100 mWb/m2. The electrodes are wall-mounted inside the pipe having a diameter of 0.25m. A voltage of 1V is generated when a conducting fluid is passed through the flow meter. The volumetric flow rate of the fluid in m3/s is ____________.


*Answer can only contain numeric values
Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 29

In the circuit, shown in the figure, the MOSFET is operating in the saturation zone. The characteristics of the MOSFET is given by ID = 1/2 (VGS -1)2 mA, where VGS is in V. If Vs = +5V, then the value of RS in kΩ is _________.


Detailed Solution for Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 29

Given 

*Answer can only contain numeric values
Instrumentation Engineering - IN 2017 GATE Paper MCQ Quiz - Question 30

The hot junction of a bare thermocouple, initially at room temperature (30°C), is suddenly dipped in molten metal at t = 0s. The cold junction is kept at room temperature. The thermocouple can be modeled as a first-order instrument with a time constant of 1.0s and a static sensitivity of 10 μV/°C. If the voltage, measured across the thermocouple indicates 10.0 mV at t = 1.0s, then the temperature of the molten metal in °C is __________.


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