List of practice Questions

Consider a non-pipeline processor with 2 GHz clock, average CPI of '6'. It is hence with a 5-stage pipeline processor with the same clock, consider 1 instructions per cycle and if 20% instructions have 2 cycle stalls due to control hazards and 20% of instructions have 3 cycles stalls due to data hazards. Speedup of pipeline over non-pipeline

The frequency of occurrence of 8 symbols (a-h) is shown in the table below. A symbol is chosen and it is determined by asking a series of "yes/no" questions which are assumed to be truthfully answered. The average number of questions when asked in the most efficient sequence, to determine the chosen symbol, is ___________ (rounded off to two decimal places).

In the circuit below, the voltage $V_L$ is ___________ V (rounded off to two decimal places).

In a given sequential circuit, initial states are $Q_1 = 1$ and $Q_2 = 0$. For a clock frequency of 1 MHz, the frequency of signal $Q_2$ in kHz, is ___________ (rounded off to the nearest integer).

A sample and hold circuit is implemented using a resistive switch and a capacitor with a time constant of 1 $\mu$s. The time for the sampling switch to stay closed to charge a capacitor adequately to a full scale voltage of 1 V with 12-bit accuracy is ___________ $\mu$s (rounded off to two decimal places).

In a semiconductor device, the Fermi-energy level is 0.35 eV above the valence band energy. The effective density of states in the valence band at T = 300 K is $1 \times 10^{19} \text{ cm}^{-3}$. The thermal equilibrium hole concentration in silicon at 400 K is ___________ $\times 10^{13} \text{ cm}^{-3}$ (rounded off to two decimal places).
Given kT at 300 K is 0.026 eV.

A transparent dielectric coating is applied to glass ($\epsilon_r = 4, \mu_r = 1$) to eliminate the reflection of red light ($\lambda_0 = 0.75 \mu m$). The minimum thickness of the dielectric coating, in $\mu$m, that can be used is ___________ (rounded off to two decimal places).

Let $x_1(t) = u(t+1.5) - u(t-1.5)$ and $x_2(t)$ is shown in the figure below. For $y(t) = x_1(t) x_2(t)$, the $\int_{-\infty}^{\infty} y(t)dt$ is ___________ (rounded off to the nearest integer).

The asymptotic magnitude Bode plot of a minimum phase system is shown in the figure. The transfer function of the system is $(s) = \frac{k(s+z)^a}{s^b(s+p)^c}$, where k, z, p, a, b and c are positive constants. The value of $(a+b+c)$ is ___________ (rounded off to the nearest integer).

In an extrinsic semiconductor, the hole concentration is given to be $1.5 n_i$ where $n_i$ is the intrinsic carrier concentration of $1 \times 10^{10} \text{ cm}^{-3}$. The ratio of electron to hole mobility for equal hole and electron drift current is given as ___________ (rounded off to two decimal places).

The value of the integral $\iint_R xy \,dx\,dy$ over the region R, given in the figure, is ___________ (rounded off to the nearest integer).

In the circuit shown below, switch S was closed for a long time. If the switch is opened at t = 0, the maximum magnitude of the voltage $V_R$, in volts, is ___________ (rounded off to the nearest integer).

For the circuit shown below, the propagation delay of each NAND gate is 1 ns. The critical path delay, in ns, is ___________ (rounded off to the nearest integer).

For the two port network shown below, the [Y]-parameters is given as \[ [Y] = \frac{1}{100} \begin{bmatrix} 2 & -1 \\ -1 & \frac{4}{3} \end{bmatrix} \text{ S}. \] The value of load impedance $ Z_L $, in $ \Omega $, for maximum power transfer will be ___________ (rounded off to the nearest integer).

In the circuit shown below, the current i flowing through 200 $\Omega$ resistor is ___________ mA (rounded off to two decimal places).

The signal-to-noise ratio (SNR) of an ADC with a full-scale sinusoidal input is given to be 61.96 dB. The resolution of the ADC is ___________ bits (rounded off to the nearest integer).

Let X(t) be a white Gaussian noise with power spectral density $\frac{3}{2}$ W/Hz. If X(t) is input to an LTI system with impulse response $e^{-t}u(t)$. The average power of the system output is ___________ W (rounded off to two decimal places).

In a cross between pure tall pea plants (TT) and pure dwarf pea plants (tt) the offsprings of F$_1$ generation were all tall. When F$_1$ generation was self-crossed, the gene combinations of the offsprings of F$_2$ generation will be :

When an object is placed beyond 2F of a convex lens, the nature of the image formed is :

When a narrow beam of white light passes through a glass prism it splits into its component colours. This phenomenon is called :

Which one of the following molecules is produced initially when glucose breaks down in the cytoplasm of a cell in aerobic as well as anaerobic respiration ?