Instrumentation Engineering - IN 2013 GATE Paper (Practice Test) - GATE MCQ

They were requested not to quarrel with others.

Which one of the following options is the closest in meaning to the word quarrel?

In the summer of 2012, in New Delhi, the mean temperature of Monday to Wednesday was 41ºC and of Tuesday to Thursday was 43ºC. If the temperature on Thursday was 15% higher than that of Monday, then the temperature in ºC on Thursday was

Q. No. 6 – 10 Carry Two Marks Each

Q. Find the sum to n terms of the series 10 + 84 + 734 + …

The set of values of p for which the roots of the equation 3x² + 2x + p(p − 1) = 0 are of opposite sign is

A car travels 8 km in the first quarter of an hour, 6 km in the second quarter and 16km in the third quarter. The average speed of the car in km per hour over the entire journey is

What is the chance that a leap year, selected at random, will contain 53 Sundays?

Statement: There were different streams of freedom movements in colonial India carried out by the moderates, liberals, radicals, socialists, and so on.

Which one of the following is the best inference from the above statement?

Q. No. 11 – 35 Carry One Mark Each

The dimension of the null space of the matrix  is

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

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

The complex function tanh (s) is analytic over a region of the imaginary axis of the complex s-plane if the following is TRUE everywhere in the region for all integers n

For a vector E, which one of the following statements is NOT TRUE?

For a periodic signal v(t) = 30sin100t + 10cos300t  +  , the fundamental frequency in rad/s is

In the transistor circuit as shown below, the value of resistance R_E in kW is approximately,

A source v_s(t) = V cos100πt has an internal impedance of (4 + j3) ? . If a purely resistive load connected to this source has to extract the maximum power out of the source, its value in ? should be

Which of the following statements is NOT TRUE for a continuous time causal and stable LTI system?

The operational amplifier shown in the circuit below has a slew rate of 0.8V /μs . The input signal is 0.25sinωt . The maximum frequency of input in kHz for which there is no distortion in the output is

Assuming zero initial condition, the response y(t) of the system given below to a unit step input u(t) is

The transfer function  of the circuit shown below is 

The type of partial differential equation 

The discrete-time transfer function  

Match the following biomedical instrumentation techniques with their application.

A continuous random variable X has a probability density function

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 differential pressure transmitter of a flow meter using venture tube reads 2.5 ×10⁵ Pa for a flow rate of 0.5 m³/s. The approximate flow rate in m³/s for a differential pressure of 0.9 ×10⁵ Pa is

A bulb in 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

The impulse response of a system is h(t) = tu(t) . For an input u(t − 1) , the output is