Electronics and Communication Gate 2014 Set-2 Questions with Answer

Ques 53 GATE 2014 SET-2

The total exports and revenues from the exports of a country are given in the two charts shown. The pie chart for exports shows the quantity of each item exported as a percentage of the total quantity of exports. The pie chart for the revenues shows the percentage of the total revenue generated through export of each item. The total quantity of exports of all the items is 500 thousand tonnes and the total revenues are 250 crore rupees. Which item among the following has generated the maximum revenue per kg?

Item 2

Item 3

Item 6

Item 5

(d) is the correct answer.

Ques 54 GATE 2014 SET-2

It takes 30 minutes to empty a half-full tank by draining it at a constant rate. It is decided to simultaneously pump water into the half-full tank while draining it. What is the rate at which water has to be pumped in so that it gets fully filled in 10 minutes?

4 times the draining rate

3 times the draining rate

2.5 times the draining rate

2 times the draining rate

(a) is the correct answer.

Ques 55 GATE 2014 SET-2

Norton's theorem states that a complex network connected to a load can be replaced with an equivalent impedance

in series with a current source

in parallel with a voltage source

in series with a voltage source

in parallel with a current source

(d) is the correct answer.

Ques 56 GATE 2014 SET-2

In the figure shown, the ideal switch has been open for a long time. If it is closed at t = 0, then the magnitude of the current (in mA) through the 4 kΩ resistor at t = 0⁺ is _______.

(1.25) is the correct answer.

Ques 57 GATE 2014 SET-2

A series LCR circuit is operated at a frequency different from its resonant frequency. The operating frequency is such that the current leads the supply voltage. The magnitude of current is half the value at resonance. If the values of L, C and R are 1 H, 1 F and 1 Ω, respectively, the operating angular frequency (in rad/s) is ________.

(0.46) is the correct answer.

Ques 58 GATE 2014 SET-2

In the h-parameter model of the 2-port network given in the figure shown, the value of h₂₂ (in S) is ______ .

(1.25) is the correct answer.

Ques 59 GATE 2014 SET-2

In the figure shown, the capacitor is initially uncharged. Which one of the following expressions describes the current I(t) (in mA) for t > 0?

I(t) = (5/3)(1 - e^-t/τ), τ = 2/3 msec

I(t) = (5/2)(1 - e^-t/τ), τ = 2/3 msec

I(t) = (5/3)(1 - e^-t/τ), τ = 3 msec

I(t) = (5/2)(1 - e^-t/τ), τ = 3 msec

(a) is the correct answer.

Ques 60 GATE 2014 SET-2

In the magnetically coupled circuit shown in the figure, 56 % of the total flux emanating from one coil links the other coil. The value of the mutual inductance (in H) is ______ .

(2.51) is the correct answer.

Ques 61 GATE 2014 SET-2

Consider a discrete-time signal
x[n] = n for 0 ≤ n ≤ 10
x[n] = 0 otherwise.
If y[n] is the convolution of x[n] with itself, the value of y[4] is _________.

(10) is the correct answer.

Ques 62 GATE 2014 SET-2

The input-output relationship of a causal stable LTI system is given as
y[n] = α y[n - 1] + β x[n]
If the impulse response h[n] of this system satisfies the condition Σh[n] = 2 (from n=0 to ∞), the relationship between α and β is

α = 1 - β/2

α = 1 + β/2

α = 2β

α = -2β

(a) is the correct answer.

Ques 63 GATE 2014 SET-2

The value of the integral ∫_-∞^∞ sinc²(5t) dt is ________.

(0.2) is the correct answer.

Ques 64 GATE 2014 SET-2

An FIR system is described by the system function
H(z) = 1 + (7/2) z^-1 + (3/2) z^-2
The system is

maximum phase

minimum phase

mixed phase

zero phase

Ques 65 GATE 2014 SET-2

Let x[n] = x[-n]. Let X(z) be the z-transform of x[n]. If 0.5 + j 0.25 is a zero of X(z), which one of the following must also be a zero of X(z).

0.5 - j 0.25

1/(0.5 + j 0.25)

1/(0.5 - j 0.25)

2 + j 4

(b) is the correct answer.

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