GATE ECE format:nat PYQs & Answers — Page 4

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Questions 31–40 of 239. Imported answers require independent review unless marked reviewed.

Topic practice 239 questionsPage 4 of 24

In the circuit given below, the switch S was kept open for a sufficiently long time and is closed at time

. The time constant (in seconds) of the circuit for

is ______.

Diagram for Electronics and Communication Engineering question 32

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Suppose X and Y are independent and identically distributed random variables that are distributed uniformly in the interval [0,1]. The probability that X ≥ Y is ______ .

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A source transmits symbols from an alphabet of size 16. The value of maximum achievable entropy (in bits) is ______.

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As shown in the circuit given below, the initial voltage across the capacitor is 10 V, with the switch being open. The switch is then closed at

. The total energy dissipated in the ideal Zener diode (

V) after the switch is closed (in mJ, rounded off to three decimal places) is ________.

Diagram for Electronics and Communication Engineering question 35

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Let

be a random process, where amplitude

and phase

are independent of each other, and are uniformly distributed in the intervals

and

, respectively.

is fed to an 8-bit uniform mid-rise type quantizer. Given that the autocorrelation of

, the signal to quantization noise ratio (in dB, rounded off to two decimal places) at the output of the quantizer is __________.

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A lossless transmission line with characteristic impedance

is terminated with an unknown load. The magnitude of the reflection co-efficient is

. As one moves towards the generator from the load, the maximum value of the input impedance magnitude looking towards the load (in

) is ______.

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The relation between any N-length sequence

and its corresponding N-point discrete Fourier transform

is defined as

Another sequence

is formed as below

For the sequence

, the value of

is ______.

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For the two port network shown below, the value of the

parameter (in Siemens) is ______.

Diagram for Electronics and Communication Engineering question 60

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Consider a MOS capacitor made with p-type silicon. It has an oxide thickness of 100 nm, a fixed positive oxide charge of

at the oxide-silicon interface, and a metal work function of 4.6 eV. Assume that the relative permittivity of the oxide is 4 and the absolute permittivity of free space is

. If the flatband voltage is 0 V, the work function of the p-type silicon (in eV, rounded off to two decimal places) is ______.

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In the network shown below, maximum power is to be transferred to the load

Diagram for Electronics and Communication Engineering question 62

The value of

(in

) is ______.

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GATE ECE format:nat PYQs

Question 32

Question 33

Question 34

Question 35

Question 57

Question 58

Question 59

Question 60

Question 61

Question 62