GATE 2024 Question Paper for Biomedical Engineering (BM)

GATE
2024
Question Paper | Answer Key
Graduate Aptitude Test in Engineering
(GATE) is a prestigious national-level exam
that assesses candidates for
comprehensive understanding in various
undergraduate-level subjects in
Engineering, Technology, Science,
Architecture, and Humanities.

General Aptitude (GA)
Q.1 – Q.5 Carry ONE mark Each

Q.1 If ‘→’ denotes increasing order of intensity, then the meaning of the words

[simmer → seethe → smolder] is analogous to [break → raze → ________ ].

Which one of the given options is appropriate to fill the blank?

(A) obfuscate

(B) obliterate

(C) fracture

(D) fissure

Page 1 of 37

Q.2 In a locality, the houses are numbered in the following way:

The house-numbers on one side of a road are consecutive odd integers starting from
301, while the house-numbers on the other side of the road are consecutive even
numbers starting from 302. The total number of houses is the same on both sides of
the road.

If the difference of the sum of the house-numbers between the two sides of the road
is 27, then the number of houses on each side of the road is

(A) 27

(B) 52

(C) 54

(D) 26

Q.3 𝑝 𝑝
𝑝 𝑝 𝑞 ( −1)
For positive integers 𝑝 and 𝑞 , with ≠ 1 , ( ) = 𝑝 𝑞 . Then,
𝑞 𝑞

(A) 𝑞 𝑝 = 𝑝𝑞

(B) 𝑞𝑝 = 𝑝2𝑞

(C) √𝑞 = √𝑝

𝑝 𝑞
(D) √𝑞 = √𝑝

Page 2 of 37

Q.4 Which one of the given options is a possible value of x in the following sequence?

3, 7, 15, x, 63, 127, 255

(A) 35

(B) 40

(C) 45

(D) 31

Q.5 On a given day, how many times will the second-hand and the minute-hand of a
clock cross each other during the clock time 12:05:00 hours to 12:55:00 hours?

(A) 51

(B) 49

(C) 50

(D) 55

Page 3 of 37

Q.6 – Q.10 Carry TWO marks Each

Q.6 In the given text, the blanks are numbered (i)−(iv). Select the best match for
all the blanks.

From the ancient Athenian arena to the modern Olympic stadiums,
(i) (ii)
athletics the potential for a spectacle. The crowd with bated
breath as the Olympian artist twists his body, stretching the javelin behind him.
(iii)
Twelve strides in, he begins to cross-step. Six cross-steps in an abrupt
(iv)
stop on his left foot. As his body like a door turning on a hinge, the
javelin is launched skyward at a precise angle.

(A) (i) hold (ii) waits (iii) culminates (iv) pivot

(B) (i) holds (ii) wait (iii) culminates (iv) pivot

(C) (i) hold (ii) wait (iii) culminate (iv) pivots

(D) (i) holds (ii) waits (iii) culminate (iv) pivots

Page 4 of 37

Q.7 Three distinct sets of indistinguishable twins are to be seated at a circular table that
has 8 identical chairs. Unique seating arrangements are defined by the relative
positions of the people.

How many unique seating arrangements are possible such that each person is sitting
next to their twin?

(A) 12

(B) 14

(C) 10

(D) 28

Page 5 of 37

Q.8 The chart given below compares the Installed Capacity (MW) of four power
generation technologies, T1, T2, T3, and T4, and their Electricity Generation
(MWh) in a time of 1000 hours (h).

Installed Capacity Electricity Generation
14000 70
13000 65
12000 60
Electricity Generation (MWh)

11000 55

Installed Capacity (MW)
10000 50
9000 45
8000 40
7000 35
6000 30
5000 25
4000 20
3000 15
2000 10
1000 5
0 0
T1 T2 T3 T4
Power Generation Technology

The Capacity Factor of a power generation technology is:

Electricity Generation (MWh)
Capacity Factor =
Installed Capacity (MW) × 1000 (h)

Which one of the given technologies has the highest Capacity Factor?

(A) T1

(B) T2

(C) T3

(D) T4

Page 6 of 37

Q.9 In the 4 × 4 array shown below, each cell of the first three columns has either a
cross (X) or a number, as per the given rule.

Rule: The number in a cell represents the count of crosses around its immediate
neighboring cells (left, right, top, bottom, diagonals).

As per this rule, the maximum number of crosses possible in the empty column is

(A) 0

(B) 1

(C) 2

(D) 3

Page 7 of 37

Q.10 During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the
Moon-Earth-Sun angle at this half-moon phase is measured to be 89.85°, the ratio
of the Earth-Sun and Earth-Moon distances is closest to

(A) 328

(B) 382

(C) 238

(D) 283

Page 8 of 37

Q.11 – Q.35 Carry ONE mark Each

Q.11 What is the value of the following complex line integral counter-clockwise?

8
∮ 𝑑𝑧
|𝑧|=3 𝑧(𝑧 − 2)(𝑧 − 4)

(A) +𝑗2𝜋

(B) −𝑗2𝜋

(C) −𝑗10𝜋

(D) +𝑗10𝜋

Q.12 To solve the equation 𝑥 = 2 cos 𝑥 using Newton-Raphson’s method, which one of
the following iterations should be used?

(A) 𝑥𝑛 − 2𝑐𝑜𝑠𝑥𝑛
𝑥𝑛+1 = 𝑥𝑛 −
1 + 2𝑠𝑖𝑛𝑥𝑛

(B) 𝑥𝑛 − 2𝑐𝑜𝑠𝑥𝑛
𝑥𝑛+1 = 𝑥𝑛 +
1 + 2𝑠𝑖𝑛𝑥𝑛

(C) 1 + 2𝑠𝑖𝑛𝑥𝑛
𝑥𝑛+1 = 𝑥𝑛 +
𝑥𝑛 − 2𝑐𝑜𝑠𝑥𝑛

(D) 1 + 2𝑠𝑖𝑛𝑥𝑛
𝑥𝑛+1 = 𝑥𝑛 −
𝑥𝑛 − 2𝑐𝑜𝑠𝑥𝑛

Page 9 of 37

Q.13 During the repolarization phase of a neuron, the cell is brought back to the resting
potential by the action of a Sodium-Potassium pump. Which one of the following
statements is TRUE for the active transport of Na+ and K+ ions through the cell
membrane?

(A) For every 3 Na+ transported out of the cell 2 K+ is transported into the cell.

(B) For every 3 Na+ transported into the cell 2 K+ is transported out of the cell.

(C) For every 2 Na+ transported out of the cell 3 K+ is transported into the cell.

(D) The ratio of Na+ and K+ transport is always equal to one.

Q.14 The cardiac rhythm in a healthy human heart originates from _____.

(A) Sinu-atrial node (SA)

(B) Atrio-ventricular node (AV)

(C) Aorta

(D) Right atria

Page 10 of 37

Q.15 Which one of the following events is NOT typically encountered in diagnostic
X-ray projection radiography?

(A) Pair production

(B) Photoelectric absorption

(C) Compton scattering

(D) Characteristic radiation

Q.16 Which of the following statements is TRUE for a PET imaging system?

(A) Two coincident photons of 511 keV energy are detected 180o apart.

(B) Photons of 51.1 keV energy are detected 360o around the body.

(C) Photons of energy 511 keV are detected 360o around the body.

(D) Coincident photons with 51.1 keV energy are detected 180o apart.

Page 11 of 37

Q. 17 Consider the following layers: subcutaneous fat, viable epidermis, stratum
corneum, and dermis. Which one of the following represents the correct sequence
of the layers from skin surface to within?

(A) Dermis, subcutaneous fat, viable epidermis, stratum corneum

(B) Dermis, viable epidermis, subcutaneous fat, stratum corneum

(C) Stratum corneum, viable epidermis, dermis, subcutaneous fat

(D) Viable epidermis, stratum corneum, dermis, subcutaneous fat

Q. 18 Bioglass 45S5 has a composition of ________.

(A) 45 wt% SiO2 and 5:1 molar ratio of Calcium to Phosphorus.

(B) 45 wt% Hydroxyapatite and 5 wt% SiO2.

(C) 45 wt% Hydroxyapatite and 5:1 molar ratio of CaO and Ca3(PO4)2.

(D) 45 wt% SiO2 and 5 wt% Hydroxyapatite.

Page 12 of 37

Q. 19 Macrophages that are resident in the liver are _________________.

(A) Histiocyte cells

(B) Langerhans cells

(C) Kupffer cells

(D) Fibroblast cells

Page 13 of 37

Q. 20 Which one of the following drug release kinetic curves will be ideal for developing
an implantable slow-release drug delivery device?

(A)
% cumulative
release

time

(B)
% cumulative
release

time

(C)
% cumulative
release

time

(D)
% cumulative
release

time

Page 14 of 37

Q.21 The circuit shown in the figure functions as which one of the following digital
circuit blocks?

1 Q
D
0

clk

(A) Negative level triggered D-latch

(B) Positive level triggered D-latch

(C) Negative edge triggered D-flip-flop

(D) Positive edge triggered D-flip-flop

Q.22 The Fourier transform of 𝑒 −|2𝑡| is _________.

(A) 4
4 − 𝜔2

(B) 4
4 + 𝜔2

(C) 2
2+𝜔

(D) 2
2−𝜔

Page 15 of 37

Q.23 The Bode plot of a 2nd order low pass filter is shown in the figure below. What is
the frequency at which the attenuation is 80 dB?

0 dB

1 kHz

(A) 10 kHz

(B) 10 MHz

(C) 100 kHz

(D) 100 MHz

Q.24 The input 𝑥(𝑡) and the output 𝑦(𝑡) of a linear time invariant system are related as
follows:

𝑑𝑦(𝑡) 𝑑 2 𝑦(𝑡) 𝑑𝑥(𝑡)
𝑦(𝑡) + + 0.5 2
= 𝑥(𝑡) + 0.1
𝑑𝑡 𝑑𝑡 𝑑𝑡
What is the Laplace transform of the impulse response of the system?

(A) 0.5𝑠 2 + 𝑠 + 1
0.1𝑠 + 1

(B) 0.1𝑠 + 1
0.5𝑠 2 + 𝑠 + 1

(C) 0.1𝑠 + 𝑠 2
𝑠 2 + 𝑠 + 0.5

(D) 𝑠 2 + 𝑠 + 0.5
0.1𝑠 2 + 𝑠

Page 16 of 37

Q.25 Match the different chambers/locations of a healthy human heart in Column-1 to
the ranges of diastolic pressures in Column-2.

Column-1 Column-2

(P) Arterial (I) 2-6 mm Hg

(Q) Pulmonary artery (II) 8-12 mm Hg

(R) Right ventricle (III) 60-80 mm Hg

(A) (P) – (II), (Q) – (III), (R) – (I)

(B) (P) – (II), (Q) – (I), (R) – (III)

(C) (P) – (III), (Q) – (II), (R) – (I)

(D) (P) – (III), (Q) – (I), (R) – (II)

Q.26 Which of the following is/are NOT TRUE about photoreceptor cells in a healthy
human retina?

(A) The distribution of rod and cone cells is uniform all over the retina.

(B) The number of rods are higher than the number of cones in the retina.

(C) Rods contain photopsin pigment.

(D) Cones are responsible for colour vision in bright light.

Page 17 of 37

Q.27 A monochromatic beam of γ-ray photons is incident on a homogenous tissue. Which
of the following relationships hold(s) TRUE for the half-value layer thickness?

(A) The first half-value layer is thicker than the second half-value layer.

(B) The second half-value layer is thicker than the first half-value layer.

(C) All the half-value layers have equal thickness.

(D) The ratio of thickness of the first and second half-value layers change based on the
intensity of the incident beam.

Q.28 A group of four people were residing together when a new virus was detected. If
the probability of each person being infected is 0.1, then the probability that at least
two of them are infected is ____. Give your answer rounded off to 3 decimal places.

Q.29 A random noise signal with Gaussian distribution has a mean of zero and a standard
deviation of 1 mV. The probability that an instantaneous measurement of this signal
is greater than 2 mV or lesser than -2 mV is ______. Give your answer as a
percentage rounded off to the nearest integer.

Page 18 of 37

Q.30 The trigonometric Fourier series expansion of the periodic function in the figure has
coefficients {𝑎𝑛 } and {𝑏𝑛 } for cosine and sine terms, respectively. The value of
𝑎1 /𝑎3 is __________. Give your answer rounded off to 1 decimal place.

+1

2 seconds
0 1 3 5
-1

Q. 31 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.

Q.32 The measured current through a device is 5 A, the voltage measured across the
device is 20 V. The ammeter and the voltmeter used for these measurements have
a measurement uncertainty of 1% each. The maximum error in estimation of
impedance of the device is _______ mΩ. Give your answer rounded to the nearest
integer.

Q.33 The Larmor frequency of a Na nucleus when placed in a magnetic field strength of
3 T is ___________. (The gyromagnetic ratio of Na is given as γ = 11.26 MHz/T.)
Give your answer in MHz rounded off to the nearest integer.

Page 19 of 37

Q.34 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 45o 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.)

Q.35 The wavelength of the peak emission from a human body at a temperature of 37oC
due to black-body radiation is ______ µm. The value of Wien’s displacement
constant is 2.898 × 10−3 m K. (Give your answer rounded off to 2 decimal places.)

Page 20 of 37

Q.36 – Q.65 Carry TWO marks each

Q.36 1 −1
If 𝐴 = ( ), the eigenvalues of 𝐴 are _____________.
2 −2

(A) −1 and 0.

(B) −1 and +1.

(C) −1 and −1.

(D) +1 and 0.

Q.37 Consider a system of the following two partial differential equations:

𝜕𝛼 𝜕𝛽
= −2
𝜕𝑥 𝜕𝑡
𝜕𝛽 𝜕𝛼
= −2
𝜕𝑥 𝜕𝑡
Which one of the following choices is a possible solution for the system?

(A) 𝛼(𝑡, 𝑥) = (𝑥 − 𝑡)2 + (𝑥 + 𝑡)2 and 𝛽(𝑡, 𝑥) = (𝑥 − 𝑡)2 − (𝑥 + 𝑡)2 .

(B) 𝛼(𝑡, 𝑥) = (𝑥 − 2𝑡)2 + (𝑥 + 2𝑡)2 and 𝛽(𝑡, 𝑥) = (𝑥 − 2𝑡)2 − (𝑥 + 2𝑡)2 .

(C) 𝑡 2 𝑡 2 𝑡 2 𝑡 2
𝛼(𝑡, 𝑥) = (𝑥 − 2) + (𝑥 + 2) and 𝛽(𝑡, 𝑥) = (𝑥 − 2) − (𝑥 + 2) .

(D) 𝑡 2 𝑡 2 𝑡 2 𝑡 2
𝛼(𝑡, 𝑥) = (𝑥 − 2) + 2 (𝑥 + 2) and 𝛽(𝑡, 𝑥) = 2 (𝑥 − 2) − (𝑥 + 2) .

Page 21 of 37

Q.38 The end-diastolic ventricular volume is found to be 125 mL and the end-systolic
ventricular volume is found to be 50 mL. If the heart rate is 65 beats/minute, what is
the cardiac output in liters per minute? (Rounded off to 2 decimal places.)

(A) 3.25

(B) 4.88

(C) 5.20

(D) 3.00

Page 22 of 37

Q.39 Which of the following waveforms represents the output Vo of the circuit given
below? The Zener diode used has a Zener breakdown voltage of 1 V and can be
assumed ideal while in forward bias.

1Ω
+
vo
Vs=2sin(2πt) V -
1V

(A)
1
1 2
vo 0 t
-1
-2

(B)

1
vo 0 1
t
2
-2

(C)
1
vo 0
t
-1 1 2

(D)
1
vo 0 t
1 2
-1

Page 23 of 37

Q.40 In magnetic resonance imaging (MRI), pulse repetition time (𝑇𝑅), time to echo (𝑇𝐸),
𝑇1 relaxation time, 𝑇2 relaxation time are some of the important pulse sequence design
parameters. Which one of the following specifications is used for proton density
weighted imaging?

(A) 𝑇𝑅 ≫ 𝑇1 , 𝑇𝐸 ≪ 𝑇2

(B) 𝑇𝑅 ≫ 𝑇1 , 𝑇𝐸 ≫ 𝑇2

(C) 𝑇𝑅 ≪ 𝑇1 , 𝑇𝐸 ≪ 𝑇2

(D) 𝑇𝑅 ≪ 𝑇1 , 𝑇𝐸 ≫ 𝑇2

Page 24 of 37

Q.41 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?

(A) Bulk erosion

(B) Surface erosion

(C) Bulk initially followed by surface erosion

(D) No erosion but mechanical breakage due to injury

Page 25 of 37

Q.42 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

(A) X with I, Y with II and Z with III

(B) X with II, Y with III and Z with I

(C) X with I, Y with III and Z with II

(D) X with III, Y with II and Z with I

Page 26 of 37

Q.43 In a catheter-sensor system to measure blood pressure (P) as shown in the below figure,
the liquid resistance (RL) of the catheter is due to friction between shearing molecules
flowing through the catheter. Which of the following is TRUE for RL if only the radius
of the catheter is doubled. Assume that the pressure difference across the catheter
segment is fixed.

P Liquid Diaphragm

Catheter

(A) RL will decrease by 16 times

(B) RL will decrease by 8 times

(C) RL will decrease by 4 times

(D) RL will decrease by 2 times

Q.44 What is the value of the following integral using the residue integration method?
∞
𝑑𝑥
∫
1 + 𝑥4
−∞

(A) 𝜋
√2

(B) 𝜋
2√2

(C) 𝜋
4

(D) 𝜋
2

Page 27 of 37

Q.45 A neurologist needs to observe the alpha wave in EEG recordings of a patient. The
system block diagram with ideal filter blocks is shown below. Which one of the
following design choices is correct?

EEG Signal High Pass Filter Low Pass Filter
Cut Off A/D Converter
Cut-Off
fl Sampling at fs
fh

(A) fh = 8 Hz, fl = 12 Hz, fs = 12 Hz

(B) fh = 4 Hz, fl = 6 Hz, fs = 24 Hz

(C) fh = 6 Hz, fl = 4 Hz, fs = 12 Hz

(D) fh = 8 Hz, fl = 12 Hz, fs = 48 Hz

Page 28 of 37

Q.46 In the circuit below, what is the value of 𝐼𝐿 to transfer the maximum power to load?

IL
1Ω
1A

Load
5V

(A) 3A

(B) 6A

(C) 4A

(D) 2A

Q.47 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) The inspiratory time will increase.

(B) The expiratory time will increase.

(C) The tidal volume will increase.

(D) The frequency of breathing will decrease.

Page 29 of 37

Q.48 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) Bone will appear relatively brighter than DCA in 50 keV.

(B) DCA will appear relatively brighter than bone in 50 keV.

(C) Bone will appear relatively brighter than DCA in 150 keV.

(D) DCA will appear relatively brighter than bone in 150 keV.

Page 30 of 37

Q.49 Which of the following is/are TRUE for a surface electromyography (sEMG) signal
of a muscle experiencing fatigue?

(A) The median frequency of power spectral density of sEMG will decrease.

(B) The median frequency of power spectral density of sEMG will increase.

(C) The root mean square (RMS) value of sEMG will increase.

(D) The root mean square (RMS) value of sEMG will decrease.

Q.50 For 𝐹⃗ = (𝑥 + 𝑦)𝑖̂ + (𝑥 + 𝑦)𝑗̂ the value of ∮ 𝐹⃗ ∙ 𝑑𝑟⃗ along the path shown in the
figure is ______. Give your answer as an integer.

y

(0,1) (1,1)

(1,0)
x

Page 31 of 37

Q.51 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

Q.52 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.)

Q.53 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.

Page 32 of 37

Q.54 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.

Q.55 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:

𝑘𝑎2
𝑃(𝑟, 0) ∝ sin
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.

Q.56 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.

v

I=sin(t) A
1H 1F 2Ω

Page 33 of 37

Q.57 The equivalent impedance, ZAB, in the circuit given below is _____ Ω. Give your
answer rounded off to one decimal place.

1Ω 1Ω

+ ZAB
+
V 1Ω V
-
-

Q.58 The bandwidth of ECG signal ranges from 0.5 Hz to 100 Hz. If a single ADC is used
to digitize data from 8 ECG channels then the minimum ADC sampling rate is ______
Hz. Give your answer rounded off to the nearest integer.

Q.59 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 ∑∞
𝑛=−∞ 𝑦[𝑛] is ______. Give your answer rounded off to the nearest
integer.

Page 34 of 37

Q.60 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.

1H 1Ω

sin(t) V
Ammeter
1F
1Ω

Q.61 In the figure below, the Fourier series of 𝑣(𝑡), in volts, is given as:

𝑣(𝑡) = 𝑣0 + 2 cos(𝜔0 𝑡) + 5 cos(3𝜔0 𝑡) + cos (5𝜔0 𝑡)

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.

C=∞

v(t) 1Ω

Page 35 of 37

Q.62 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.

Q.63 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.

Q.64 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.

Page 36 of 37

Q.65 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.

Page 37 of 37

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