Prepare for UPSC Indian Engineering Services (IES/ESE) with verified solutions across Analog & Digital Communications, VLSI & Semiconductor Devices, Signals & Systems, Electromagnetics & Antennas, Microwave Engineering, Control Systems, Computer Organization, and Network Theory.
Marking pattern: +2.00 positive, -0.66 negative (Official UPSC ESE 1/3rd Negative Marking Scheme; 150 Questions, 300 Marks).
Which of the following properties of the circuits of a graph are correct?
Select the correct answer using the code given below.
What are the open-circuit reverse voltage gain and the short-circuit forward current gain respectively for the two-port network shown in the figure?
What are the open-circuit transfer admittance and the negative short-circuit current ratio respectively for the two-port network shown in the figure?
The dynamics of an $n^{\text{th}}$ order single-input single-output system can be written by the vector-matrix differential equation $\dot{x}=Ax+Bu$ and output $y=Cx$. What is the size of the output coupling matrix $C$?
For the state variable formulation of R-L-C network, which of the one following statements is correct?
If $i(t)=I_{0}\sin\omega t$, then the state variable formulation of the R-L-C circuit shown in the figure is
In the figure, the switch is thrown from position 1 to 2 at time $t=0\text{ (zero)}$. Just before the switch is thrown, the initial conditions are $i_{L}(0-)=2\text{ A}$, $v_{C}(0-)=2\text{ V}$. What is the current $i(t)$ after switching action?
What is the output voltage $v_{o}(t)$ of the circuit shown in the figure?
If the value of $E=100\text{ V}$, $R=10\text{ k}\Omega$ and $C=10\text{ mF}$ in the circuit shown in the figure, then the capacitor current ($i_{C}$) at $t=150\text{ ms}$ is
The capacitor of the figure shown below has 25 V on it with polarity shown at the time the switch is closed. The expression for $v_{C}$ is
Convert $(329\cdot54)_{10}$ to hexadecimal.
Represent the decimal number 396 in binary, Gray and excess-3 codes respectively.
The most personal computers (PCs)-compatible computer systems use a 20-bit address code to identify each of over 1 million memory locations. What is the 5-digit hexadecimal address of the 500th memory location?
Simplify the following Boolean function:
$$f(A,B,C)=\overline{A}BC+A\overline{B}C+AB\overline{C}+ABC$$
What is the output $Y$ for the logic circuit shown in the figure?
$A$, $B$ and $C_{\text{in}}$ are the three inputs of a full adder circuit and $D_{0}, D_{1}, \ldots, D_{7}$ are the inputs of 8:1 multiplexer. $S_{2}$ (MSB), $S_{1}$ and $S_{0}$ (LSB) are the selection lines of the multiplexer. To implement the expression of sum of full adder circuit using this multiplexer, the connections of the input ports and selection lines are
The data sheet of a certain flip-flop specifies that the minimum HIGH time $t_{w}(H)$ for the clock pulse is 16 nanoseconds and the minimum LOW time $t_{w}(L)$ is 29 nanoseconds. What is the maximum operating frequency for the given flip-flop?
The Schmitt trigger can be used as which of the following?
Select the correct answer using the code given below.
What are the approximate values of $t_{1}$, $t_{2}$, frequency and duty cycle of a 555 timer used as an astable multivibrator respectively? (Take $C=680\text{ pF}$)
A five-bit asynchronous counter is shown in the figure. If the clock input frequency is 22.4 MHz, what is the frequency at the output $E$?
A certain J-K flip-flop has propagation delay 12 picoseconds. What is the largest MOD of a counter that can be constructed from these J-K flip-flops and operates up to 10 GHz?
Simplify the following Boolean expression using the De Morgan's theorem:
$$f(A,B,C,D,E,F)=\overline{(A+B)\overline{C}\overline{D}+(E+\overline{F})}$$
The internet protocol (IP) (RFC 791) is the heart of the TCP/IP protocol suite. IP corresponds to the network layer in the OSI reference model and provides
The orbital satellites are
The requirement for reliability, long life, stability, high efficiency and suitability for space environment are met by the use of