List of top Questions asked in GATE Biomedical Engineering

In the figure below, the Fourier series of v(t), in volts, is given as :
\(v(t) = v_0 + 2 cos(\omega_0t) + 5 cos(3\omega_0t) + cos (5\omega_0t)\)
The capacitor is a short circuit for all AC signals. The power absorbed by the 1Ω resistor is ________ W. Give your answer rounded off to the nearest integer.

An artificial fore-arm has a moment-of-inertia around the center of mass as 0.3kg.m². The mass of the artificial fore-arm is 3 kg. If the distance from the elbow joint to the center of mass of the fore-arm is 20 cm, the moment-of-inertia of the fore-arm about the elbow joint is ________ kg.m². Give your answer rounded off to two decimal places.

In a motor nerve conduction velocity experiment, the distance between the distal and the recording sites is 4 cm and the distance between the proximal and the recording sites is 24 cm. The distal and proximal latencies were recorded as 6 ms and 10 ms, respectively. The nerve conduction velocity is ________ meters per second. Give your answer rounded off to the nearest integer.

A bio-potential signal of 4 mV on the skin surface was fed to an amplifier with a differential gain of 2000. The noise in the signal is 1000 mV. If the amplifier output produces a noise output of 200 mV, the common mode rejection ratio of the amplifier is ________ dB. Give your answer rounded to the nearest integer.

In the figure below, the diode is ideal. The current reading shown in the ammeter is ________ A. Give your answer rounded off to the nearest integer.

A person creates an apparatus as shown in the figure to exercise the extensor muscle of the hand. It is given that OP = 0.15 m, OQ = 0.35 m, θ = 30°, the weight of the lower arm = 20 N, the center of mass of the lower arm is at point P, the magnitude of the applied tensile force F = 50 N. If the extensor muscle is acting with a moment arm of 0.25 m, the muscle force required to hold the hand at the position shown in the figure is ______ N. Give your answer rounded off to the nearest integer.

If a circular ultrasound transducer of radius a = 8 mm operating at a central frequency of 1 MHz has a pressure beam pattern in a medium as given below :
\(P(r,0) \propto\sin\frac{ka^2}{4r}\)
Here, k is the wave number, r is the axial distance from the center of aperture. The speed of sound in the medium is 1600 ms^-1.
The reduction in intensity between r = 8 cm and r = 16 cm is _______ dB. Give your answer as a positive quantity rounded off to two decimal places.

The source in the figure is a current source and the circuit is in steady state. At t = 0.5π seconds, the value of v in the circuit given below is ______ volts. Give your answer rounded off to 2 decimal digits.

If x[n] = u[n] - u[n -5], and h[n] = δ[n] - δ[n - 1] and y[n] = x[n] × h[n], then the value of \(\sum_{n=-\infin}^{\infin}\) y[n] is _________. Give your answer rounded off to the nearest integer.

A person standing one meter away from a 4000 curie radioactive source receives a lethal dose of radiation in about 5 minutes. At 3 meters away from the same source, the time in which he will receive the same lethal dose is _______ minutes. Give your answer rounded off to the nearest integer.

The approximate total cross sectional areas of various types of blood vessels are given below. It was estimated that the velocity of blood in the aorta is 30 cms^-1. The time it will take for the blood to travel through a capillary of length 0.5 mm is_______ seconds. Give your answer rounded off to two decimal places.

Vessel Type	Approximate total cross sectional area (cm2)
Aorta	4.5
Artery	20
Arteriole	400
Capillary	4500
Venule	40
Vein	15

For \(\vec{F}=(x+y)\hat{i}+(x+y)\hat{j}\) the value of \(\oint\vec{F}.d\vec{r}\) along the path shown in the figure is ________. Give your answer as an integer.

An X-ray beam of initial intensity I₀ of 70 keV imaging the chest is assumed to undergo attenuation through the muscle tissue for a thickness of 16 cm and further through the bone tissue for a thickness of 4 cm. The half value layer (HVL) thicknesses for the muscle and bone are 3.5 cm and 1.8 cm, respectively. The percentage of X-ray intensity transmitted through the body is ________.
Give your answer rounded off to 2 decimal places.

The equivalent impedance, Z_AB, in the circuit given below is ________ Ω. Give your answer rounded off to one decimal place.

A DNA extract solution with a concentration of 15 ng/μL placed in a micro-cuvette of sample thickness 0.5 mm gave an absorbance of 0.24 at a wavelength of 260 nm in a spectrophotometer. After further concentration, the sample was found to give an absorbance of 0.38 at the same wavelength under identical conditions. The final concentration of the sample is _____ ng/μL. (Give your answer rounded off to 2 decimal places.)

In a catheter-sensor system to measure blood pressure (P) as shown in the below figure, the liquid resistance (R_L) of the catheter is due to friction between shearing molecules flowing through the catheter. Which of the following is TRUE for R_L if only the radius of the catheter is doubled. Assume that the pressure difference across the catheter segment is fixed.

In an attempt to integrate engineered tissue with native tissue, three samples of engineered tissue, X, Y, Z, with identical material properties, were co-cultured adjacent to three different native tissues (bone, cartilage and liver). The adhesive strengths of X, Y, Z were observed after 8 weeks as follows.
Adhesive strength for X = 150 kPa, Y= 250 kPa, Z= 350 kPa
Match the native tissue that were used to co-culture X, Y and Z from the following.
I : Liver Tissue
II : Articular Cartilage
III: Devitalized Bone

An orthopaedic implant when monitored over 6 months showed the following normalized curves for polymer molecular weight (MW), mass of implant and mechanical strength. Among the choices, what is the most probable reason for the observed changes ?

In the circuit below, what is the value of I_L to transfer the maximum power to load ?

What is the value of the following integral using the residue integration method ?
\(\int\limits_{-\infin}^{\infin}\frac{dx}{1+x^4}\)

The X-ray attenuation coefficients as a function of photon energy for three materials are shown in the figure below. A tissue phantom containing these three materials is imaged at two different X-ray photon energies of 50 keV and 150 keV. When the developed X-ray film is viewed, which of the following statements is/are TRUE ?

A mechanical ventilator operating in volume controlled mode is set to deliver 600mL of tidal volume (TV) with a flow rate of 40 L/min. The frequency of breathing is set to 10 breaths per minute. If the flow rate is doubled which one of the following happens ?

A Doppler ultrasound transducer operating at 5 MHz gave maximum output frequency shift of 3 kHz. The velocity of sound in blood is 1500 m/s. If the probe was held at an angle of 45° to the direction of blood flow, the maximum velocity of blood flow through the artery is _______ m/s. (Give your answer rounded off to two decimal places.)

If \(A=\begin{pmatrix} 1 & -1 \\ 2 & -2 \end{pmatrix}\), the eigenvalues of A are _____

A cylindrical engineered tissue was developed with a diameter of 2 cm, height of 3 cm and Young's modulus of 20 MPa. If an axial tensile force of 10 N is applied, the percentage change in the height of the tissue is _______ %. Give your answer rounded off to 2 decimal places.