Question papers
GATE 2024 - Q1
In the circuit shown below, the $n:1$ step-down transformer and diodes are ideal. The diodes have no voltage drop in forward biased condition. If the input voltage (in volts) is $V_s(t)=10sin(\omega t)$ and the average value of load voltage $V_L(t)$ is $2.5/\pi$, the value of $n$ is ______________
a) $8$
b) $12$
c) $4$
d) $16$
Correct Answer: A
Rank
GATE 2024 - Q2
Let $\rho(x,y,z,t)$ and $u(x,y,z,t)$ represent density and velocity respectively. at a point $(x,y,z)$ and time $t$. Assume $\frac{\partial \rho}{\partial t}$ is continuous. Let $V$ be an arbitrary volume in space enclosed by the closed surface $S$ and $\hat{n}$ be the outward unit normal of $S$. Which of the following equations is/are equivalent to $\frac{\partial \rho}{\partial t}+\nabla \cdot(\rho u)=0$?
a) $\int_v\frac{\partial \rho}{\partial t}dV=\int_v\nabla \cdot(\rho u)dV$
b) $\int_v\frac{\partial \rho}{\partial t}dV=-\oint_S \rho u \cdot\hat{ u}dS$
c) $\int_v\frac{\partial \rho}{\partial t}dV=\oint_S \rho u \cdot\hat{ u}dS$
d) $\int_v\frac{\partial \rho}{\partial t}dV=-\int_v\nabla \cdot(\rho u)dV$
Correct Answer: A
Rank
GATE 2024 - Q3
The free electron concentration profile $n(x)$ in a doped semiconductor at equilibrium is shown in the figure, where the points A, B and C mark three different positions. Which of the following statements is/are true?
a) For $x$ between B and C, the electron diffusion current is directed from C to B.
b) For $x$ between B and A, the electric field is directed from A to B.
c) For $x$ between B and C, the electron drift current is directed from B to A.
d) For $x$ between B and C, the electric field is directed from B to C.
Correct Answer: A
Rank
GATE 2024 - Q4
A machine has a $32$-bit architecture with $1$-word long instructions. It has $24$ registers and supports an instruction set of size $40$. Each instruction has five distinct fields, namely opcode, two source register identifiers, one destination register identifier, and an immediate value. Assuming that the immediate operand is an unsigned integer, its maximum value is________
Correct Answer: A
Rank
GATE 2024 - Q5
Consider a lossless transmission line terminated with a short circuit as shown in the figure below. As one moves towards the generator from the load, the normalized impedances $z_{inA}$, $z_{inB}$, $z_{inC}$ and $z_{inD}$ (indicated in the figure) are _______
a) $z_{inA}=+0.4j\Omega$, $z_{inB}=\infty$, $z_{inC}=-0.4j\Omega$, $z_{inD}=0$
b) $z_{inA}=-1j\Omega$, $z_{inB}=0$, $z_{inC}=+1j\Omega$, $z_{inD}=\infty$
c) $z_{inA}=\infty$, $z_{inB}=+0.4j\Omega$, $z_{inC}=0$, $z_{inD}=+0.4j\Omega$
d) $z_{inA}=+1j\Omega$, $z_{inB}=\infty$, $z_{inC}=-1j\Omega$, $z_{inD}=0$
Correct Answer: A
Rank