Instrumentation Engineering - IN 2012 GATE Paper (Practice Test) - GATE MCQ

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

Latitude

Choose the most appropriate word from the options given below to complete the following sentence:

Given the seriousness of the situation that he had to face, his ___ was impressive.

Q. 6 - Q. 10 carry two marks each.

Q. Raju has 14 currency notes in his pocket consisting of only Rs. 20 notes and Rs. 10 notes. The total
money value of the notes is Rs. 230. The number of Rs. 10 notes that Raju has is

One of the legacies of the Roman legions was discipline. In the legions, military law prevailed and discipline was brutal. Discipline on the battlefield kept units obedient, intact and fighting, even when the odds and conditions were against them.

Which one of the following statements best sums up the meaning of the above passage?

A and B are friends. They decide to meet between 1 PM and 2 PM on a given day. There is a condition that whoever arrives first will not wait for the other for more than 15 minutes. The probability that they will meet on that day is

The data given in the following table summarizes the monthly budget of an average household.

The approximate percentage of the monthly budget NOT spent on savings is

There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balance, the minimum number of weighings required to identify the heavier bag is

Q. 1 – Q. 25 carry one mark each.

Q. If , then the value of x^x is

With initial condition x(1) = 0.5 , the solution of the differential equation,

Two independent random variables X and Y are uniformly distributed in the interval [–1, 1]. The probability that max[X, Y] is less than 1/2 is

The unilateral Laplace transform of f (t) is  . The unilateral Laplace transform of  tf(t) is

Given
 . If C is a counterclockwise path in the z-plane such that |z +1| =1, the value of
 is

The average power delivered to an impedance (4 - j3)? by a current 5cos(100πt +100) A is

In the circuit shown below, the current through the inductor is

I n the following figure, C₁ and C₂ are ideal capacitors. C₁ has been charged to 12 V before the ideal
switch S is closed at t = 0. The current i(t) for all t is

T he impedance looking into nodes 1 and 2 in the given circuit is

T he i-v characteristics of the diode in the circuit given below are

The current in the circuit is

A system with transfer function

is excited by sin(ω t) . The steady-state output of the system is zero at

The output Y of a 2-bit comparator is logic 1 whenever the 2-bit input A is greater than the 2-bit input B. The number of combinations for which the output is logic 1, is

In the sum of products function , the prime implicants are

Consider the given circuit.

In this circuit, the race around

If , then the region of convergence (ROC) of its Z-transform in the Z-plane will be

A capacitive motion transducer circuit is shown. The gap d between the parallel plates of the capacitor is varied as . If the value of the capacitance is 2pF at
t = 0 ms, the output voltage V_o at t = 2 ms is

A psychrometric chart is used to determine

A strain gauge is attached on a cantilever beam as shown. If the base of the cantilever vibrates according to the equation , then the output of the strain gauge is proportional to

T he transfer function of a Zero-Order-Hold system with sampling interval T is

A n LED emitting at 1 μm with a spectral width of 50 nm is used in a Michelson interferometer. To
obtain a sustained interference, the maximum optical path difference between the two arms of the
interferometer is