List of top Biomedical Engineering Questions asked in GATE BM

The free induction decay (FID) in the MRI of an object can be approximated as \[ s(t)=\iint m(x,y)\,e^{-j2\pi\,(K_x(t)x+K_y(t)y)}\,dx\,dy, \] where \(K_x(t)=\int_0^t G_x(\tau)\,d\tau\) and \(K_y(t)=\int_0^t G_y(\tau)\,d\tau\). Here \(G_x\) and \(G_y\) are pulses of identical period and are in–phase. By changing the amplitude of the pulses, one can obtain the two–dimensional Fourier transform of the object __________________.
In the circuit below, the two DC voltage sources have voltages of value \(V_1\) and \(V_2\). The expression for the power dissipated in the \(60\,\text{k}\Omega\) resistor is proportional to ____________________.
At time \(t\), the cardiac dipole is oriented at \(-45^\circ\) (minus forty five degrees) to the horizontal axis. The magnitude of the dipole is \(3\) mV. Assuming Einthoven frontal plane configuration, what is the magnitude (in mV) of the electrical signal in lead II? (Round off the answer to two decimal places.)
For a tissue with Young’s modulus of \(3.6\ \text{kPa}\) and Poisson’s ratio of \(0.2\), what is the value of its shear modulus (in kPa)? (Round off the answer to one decimal place.)
A 5 MHz ultrasound transducer is being used to measure the velocity of blood. When the transducer is placed at an angle of \(45^\circ\) to the direction of blood flow, a frequency shift of 200 Hz is observed in the echo. Assume that the velocity of sound is \(1500\ \text{m/s}\). What is the velocity (in cm/s) of the blood flow? (Round off the answer to one decimal place.)
In the following circuit, the switch \(S\) is open for \(t<0\) and closed for \(t\ge 0\). What is the steady state voltage (in Volts) across the capacitor when the switch is closed? (Round off the answer to one decimal place.)
In the circuit shown below, the amplitudes of the voltage across the resistor and the capacitor are equal. What is the value of the angular frequency \(\omega_0\) (in rad/s)? (Round off the answer to one decimal place.)
The time-dependent growth of a bacterial population is governed by the equation \[ \frac{dx}{dt}=x\left(1-\frac{x}{200}\right), \] where \(x\) is the population size at time \(t\). The initial population size is \(x_0=100\) at \(t=0\). As \(t\to\infty\), the population size of bacteria asymptotically approaches ________________________.
A causal, discrete time system is described by the difference equation \[ y[n] = 0.5 \, y[n-1] + x[n], \text{for all n, \] where \(y[n]\) denotes the output sequence and \(x[n]\) denotes the input sequence. Which of the following statements is/are TRUE?}
Which of the following constituents is/are NOT normally found in serum obtained from human blood?
In the human pancreas, which cell types secrete insulin and glucagon?
$Q, R, S$ are Boolean variables and $\oplus$ is the XOR operator. Select the CORRECT option(s).
Choose the option that has the biomaterials arranged in order of decreasing tensile strength. (PMMA : poly-methyl-methacrylate)
The pulmonary artery and pulmonary vein ________________________.
Which one of the following techniques makes use of Korotkoff sounds?
Which one of the following bridges CANNOT be used for measuring inductance?
A polychromatic beam of X-Rays has an energy spectrum as shown in Figure P below. Which of the following graphs (in the options A to D) depicts the energy spectrum after passing through a human body? In each figure, the horizontal axis represents Energy in keV and the vertical axis represents Relative X-ray Intensity.
In the following circuit with an ideal operational amplifier, the capacitance of the parallel plate capacitor \(C\) is given by the expression \(C=\left(\dfrac{\varepsilon A}{x}\right)\), where \(\varepsilon\) is the dielectric constant of the medium between the capacitor plates, and \(A\) is the cross-sectional area. In the above relation, \(x\) is the separation between the two parallel plates, given by \(x=x_0+kt\), where \(t\) is time; \(x_0\) and \(k\) are positive non-zero constants. If the input voltage \(v_i\) is constant, then the output voltage \(v_0\) is given by __________________.
A finite impulse response (FIR) filter has only two non-zero samples in its impulse response \(h[n]\), namely \(h[0]=h[1]=1\). The Discrete Time Fourier Transform (DTFT) of \(h[n]\) equals \(H(e^{j\omega})\), as a function of the normalized angular frequency \(\omega\). For the range \(|\omega|\leq \pi\), \(|H(e^{j\omega})|\) is equal to __________________.
For the circuit given below, choose the angular frequency \(\omega_0\) (in rad/s) at which the voltage across the capacitor has maximum amplitude?
An 8 bit successive approximation Analog to Digital Converter (ADC) has a clock frequency of 1 MHz. Assume that the start conversion and end conversion signals occupy one clock cycle each. Among the following options, what is the maximum frequency that this ADC can sample without aliasing?