Instrumentation Engineering - IN 2015 GATE Paper (Practice Test) - GATE MCQ

Fill in the blank with the correct idiom/phrase.

That boy from the town was a __________in the sleepy village.

Tanya is older than Eric.

Cliff is older than Tanya.

Eric is older than Cliff.

If the first two statements are true, then the third statement is:

Q. No. 6 – 10 Carry Two Marks Each

Given below are two statements followed by two conclusions. Assuming these statements to be true decide which one logically follows.

Statement:

1. No manager is a leader.

2. All leaders are executives.

Conclusions:

1. No manager is an executive.

2. No executive is a manager.

Select the appropriate option in place of underlined part of the sentence.

Increased productivity necessary reflects greater efforts made by the employees.

In the given figure angle Q is a right angle, PS:QS = 3:1, RT:QT = 5:2 and PU:UR =1:1 

If area of triangle QTS is 20 cm², then the area of triangle PQR in cm² is _______

Right triangle PQR is to be constructed in the xy-plane so that the right angle is at P and line PR is parallel to the x-axis. The x and y coordinate of P.Q, and R are to be integers that satisfy the inequalities:

–4 < x < 5 and 6 < y < 16. How many different triangles could be constructed with these properties?

A coin is tossed thrice. Let X be the event that head occurs in each of the first two tosses. Let Y be the event that a tail occurs on the third toss. Let Z be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE? 

Q. 11 – Q. 35 carry one mark each.

A load resistor R_L is connected to a battery of voltage E with internal resistance R_i through a resistance R_S a shown in the figure. For fixed values of R_L and R_i, the value of R_S (> 0) for maximum power transfer to R_L is

A system with transfer function  has zero initial conditions. The percentage overshoot in its step response is ___________ %

(Important - Enter only the numerical value in the answer)

A light detector circuit using an ideal photodiode is shown in the figure. The sensitivity of the photo-diode is 0.5μA/μW, with V_r = 6V, the output voltage V_o = – 1.0V for 10 μw of incident light. If V_r is changed to 3 V, keeping all other parameters the same, the value of V_o in volts is ___________ V. 

(Important - Enter only the numerical value in the answer)

The figure show a half-wave rectifier circuit with input voltage V(t) = 10 sin (100 π t) volts. Assuming ideal diode characteristics with zero forward voltage drop and zero reverse current, the average power consumed in watts by the load resistance R_L is ________ w.

(Important - Enter only the numerical value in the answer)

The bridge most suited for measurement of a four-terminal resistance in the range of 0.001? to 0.1 ? is

The voltage (E_o) developed across a glass electrode for pH measurement is related to the temperature (T) by the relation

The output voltage of the ideal transformer with the polarities and dots shown in the figure is given by

Consider the logic circuit with input signal TEST shown in the figure. All gates in the figure shown have identical non-zero delay. The signal TEST which was at logic LOW is switched to logic HIGH. The output

The magnitude of the directional derivative of the function f(x,y)= x² + 3y² in a direction normal to the circle x² + y² =2, at the point (1,1), is

The logic evaluated by the circuit at the output is

The filter whose transfer function is of the form 

Let A be an n x n matrix with rank r (0 < r < n). Then AX = 0 has p independent solutions, where p is

Liquid flow rate is measured using

The double integral is equivalent to

The capacitor shown in the figure is initially charged to +10 V. The switch closes at time t = 0. Then the value of V_C(t) in volts at time t = 10 ms is _____ V.

(Important - Enter only the numerical value in the answer)

An apparatus to capture ECG signals has a filter followed by a data acquisition system. The filter best suited for this application is

Consider the ammeter-voltmeter method of determining the value of the resistance R using the circuit shown in the figure. The maximum possible errors of the voltmeter and ammeter are known to be 1% and 2% of their readings, respectively. Neglecting the effects of meter resistances, the maximum possible percentage error in the value of R determined from the measurements, is _____ %.

(Important - Enter only the numerical value in the answer)

A mass-spring-damper system with force as input and displacement of the mass as output has a transfer function G(s) = 1/(s²+24s+900). A force input F(t) = 10 sin(70t) Newton is applied at time t = 0s. a beam from an option stroboscope is focused on the mass. In steady state, the strobe frequency in hertz at which the mass appears to be stationary is 

The torque transmitted by a cylindrical shaft is to be measured by using two strain gauges. The angles for mounting the strain gauges relative to the axis of the shaft for maximum sensitivity are

(Important - Enter only the numerical value in the answer)

A p–type semiconductor strain gauge has a nominal resistance of 1000 ? and a gauge factor of +200 at 25^oC. The resistance of the strain gauge in ohms when subjected to a strain of +10^–4 m/m at the same temperature is _______ ?.

(Important - Enter only the numerical value in the answer)