List of practice Questions

The thickness of piezoelectric crystal (PZT5A) used in ultrasound applications will determine the resonant frequency of the transducer. To work at a resonance frequency of 5 MHz, the thickness of a PZT5A transducer must be ________ mm (rounded off to three decimal places).

Power consumed by the \(3\,\Omega\) resistor is \(12\ \text{W}\) in the given circuit. The value of the resistor \(R\) in the circuit is _______ \(\Omega\).

In the complex z-domain, the value of the integral \[ \oint_{C} \frac{z^{3} - 9}{3z - i} \, dz \] is

Skeletal muscles are recruited to lift loads. If the force generated in the muscle due to contraction is not sufficient to lift the load, it is known as _________ contraction.

Backscattered electron detector of a scanning electron microscope is used to

In MRI, the terms T1 and T2 time constants are crucial for obtaining suitable weighted images. Choose the correct explanation.

Given $x$ is real, identify all the even-functions among the following:

An ideal coronary stent should

Which of the following statements related to the safety of biomedical instruments are TRUE?

Which of the following statements related to the operating principle of pulse oximetry are CORRECT?

In the circuit diagram shown below, the logic gates operate with a supply voltage of 1 V. NAND and XNOR have 200 ps and 400 ps input-to-output delay, respectively.
At time \( t = T \), \( A(t) = 0 \), \( B(t) = 1 \) and \( Z(t) = 0 \). When the inputs are changed to \( A(t) = 1 \), \( B(t) = 0 \) at \( t = 2T \), a 1 V pulse is observed at \( Z \). The pulse width of the 1 V pulse is _________ ps.

Input bits X and Y are added by using the combinational logic as shown below. S represents the sum of the two bits. For a correct implementation of the sum, the signals \(D_0, D_1, D_2, D_3\) are _________, respectively.

For the balanced Owen-bridge circuit shown in the figure, the values of $L_x$ and $R_x$ are:

Myopia occurs when the focal point falls _________ the retina. This can be corrected using a _________ lens.

Choose the correct sequence for the direction of blood flow in a healthy human being starting and ending with the left ventricle.

In a healthy adult, which one of the following regions of the brain contains primarily white matter?

A plot of land must be divided between four families. They want their individual plots to be similar in shape, not necessarily equal in area. The land has equally spaced poles, marked as dots in the below figure. Two ropes, R1 and R2, are already present and cannot be moved.
What is the least number of additional straight ropes needed to create the desired plots? A single rope can pass through three poles that are aligned in a straight line.

Evaluation of the integral \[ \int \frac{dx}{\sqrt{2x - x^2}} \] results in

If \(\vec{V} = a\hat{i} + b\hat{j} + c\hat{k}\), identify the INVALID operation on \(\vec{V}\).

$x(t)$ is a real continuous-time signal whose magnitude frequency response ($|X(j\omega)|$) is shown below. After sampling $x(t)$ at $100\ \text{rad s}^{-1}$, the spectral point P is down-converted to _________ rad·s$^{-1}$ in the spectrum of the sampled signal.

Discrete signals \( x[n] \) and \( y[n] \) are shown below. The cross-correlation \( r_{xy}[0] \) is _________

Let $r$ be a root of the equation $x^2 + 2x + 6 = 0$. Then the value of the expression $(r+2)(r+3)(r+4)(r+5)$ is

Given below are four statements.
Statement 1: All students are inquisitive.
Statement 2: Some students are inquisitive.
Statement 3: No student is inquisitive.
Statement 4: Some students are not inquisitive.
From the given four statements, find the two statements that CANNOT BE TRUE simultaneously, assuming that there is at least one student in the class.

A palindrome is a word that reads the same forwards and backwards. In a game of words, a player has the following two plates painted with letters.
\[ \boxed{A} \qquad \boxed{D} \] From the additional plates given in the options, which one of the combinations of additional plates would allow the player to construct a five-letter palindrome? The player should use all the five plates exactly once. The plates can be rotated in their plane.

Some people believe that “what gets measured, improves”. Some others believe that “what gets measured, gets gamed”. One possible reason for the difference in the beliefs is the work culture in organizations. In organizations with good work culture, metrics help improve outcomes. However, the same metrics are counterproductive in organizations with poor work culture. Which one of the following is the CORRECT logical inference based on the information in the above passage?