TS PGECET 2024 Instrumentation Engineering Question Paper is available for download here. Jawaharlal Nehru Technological University Hyderabad on behalf of Telangana Council of Higher Education (TGCHE) conducted TS PGECET 2024 Instrumentation Engineering on June 12 in Shift 1 from 10 AM to 12 PM. TS PGECET Question Paper 2024 consists of 120 MCQ-based questions in total carrying 1 mark each to be attempted in the duration of 2 hours.
TS PGECET 2024 Instrumentation Engineering Question Paper with Answer Key PDF
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Question 1:
The characteristic polynomial of a \(3 \times 3\) matrix \( A \) is \[ |A - \lambda I| = \lambda^3 - 9\lambda^2 + 23\lambda - 15. \]
Let \( X = trace(A) \) and \( Y = \det(A) \), then:
\(x, y, z\) are in A.P. with common difference \(d\). If the rank of the matrix \[ A = \begin{bmatrix} 4 & 5 & x
5 & 6 & y
6 & k & z \end{bmatrix} \]
is 2, then:
The maximum value of the directional derivative of \( \varphi = x^2 yz \) at the point \( (1, 4, 1) \) is:
Let \[ f(x) = \begin{cases} 1 + \dfrac{2x}{\pi}, & -\pi \le x \le 0
1 - \dfrac{2x}{\pi}, & 0 < x \le \pi \end{cases} \]
The constant term of the Fourier series of \(f(x)\) is:
The particular integral of \[ (D^2 - 6D + 13)\, y = 8e^{3x} \sin 2x \]
is:
The partial differential equation obtained by eliminating the constants \(a\) and \(b\) from \[ z = (x - a)^2 + (y - b)^2 \]
is:
Which of the following functions is not analytic?
If \( \dfrac{dy}{dx} = xy + y^2 \), \( y(0) = 1 \), and \( h = 0.1 \), then the value of \( y(0.1) \) using Euler’s method is:
The probability of getting a total of 5 at least once in three tosses of a pair of fair dice is:
The rank correlation coefficient between the marks in two subjects of a class is 0.8. The sum of the squares of the differences between the ranks is 33. Then the number of students is:
The energy stored in a capacitor \( C \) when a voltage \( V \) exists across it is:
The mechanical force per unit charge at a given point is called:
Force on a current-carrying conductor placed in a magnetic field is given by:
"Whenever magnetic flux linked with a closed coil changes, an induced emf is setup in the coil and lasts as long as the change in magnetic flux continues." This is:
Internal resistance of an ideal voltage source is:
The total inductance of two inductances \(L_1\) and \(L_2\) with series opposing connection and mutual inductance \(M\) is:
Which of the following laws states that “Algebraic sum of the currents at a node is zero”?
Voltage across a short circuit is:
If there is a common branch with a voltage source alone between two meshes, then the combination is called:
“A linear bilateral network containing several sources... the algebraic sum of the currents or voltages of each individual source considered separately with all others made inoperative” is according to:
“Any two-terminal active circuit containing voltage sources and resistances, when viewed from its output terminals, is equivalent to a constant current source and an internal resistance.” This represents:
“Any linear circuit containing several voltage sources and resistances can be reduced to an equivalent single voltage source and resistance” is according to:
The value of the alternating current which is equal to the DC current that gives the same heating effect over a fixed period of time is called:
In a parallel RC circuit, the supply current always \underline{\hspace{2cm the applied voltage.
Fractional pitch winding is used in DC machines to:
The transformation ratio in a transformer is (1-primary, 2-secondary, N-turns, E-voltage):
Pirani gauge operation is based on the following principle:
Which of the following is a derived unit in the SI system?
Among bonded metal strain gauges, the foil type is more popular than wire type because:
The output of LVDT with input mechanical motion of 10 Hz and excitation frequency of 400 Hz will contain frequencies:
Poisson’s ratio of a metal is 0.35. Neglecting the piezo resistive effect, the gauge factor of the strain gauge made up of this metal is:
The least suitable transducer for static pressure measurement is:
The primary standard instrument used for calibrating vacuum is:
Match the device with its working principle:
List-1 List-2
a. Bourdon gauge I. Thermal conductivity
b. Pirani gauge II. Thermal coefficient of expansion
c. Semiconductor strain gauge III. Piezo resistive effect
d. Bi-metallic strip IV. Piezo electric effect
V. Deformation of element
Which of the following meters has the lowest pressure drop for a given range of flow?
The thermocouple pair that gives the maximum sensitivity of around 273 K is:
A shaft encoder attached to a DC motor has a sensitivity of 500 pulses per revolution. A frequency meter connected to the encoder output indicates 5500 Hz. The speed of the motor in rpm is:
If the amplitude is proportional to the core movement, then the output of a Differential Transformer (LVDT) is a:
A forward-biased silicon diode has a voltage drop of 0.64 V at negligible current. When the current is 1 A and it dissipates 1 W, the ON resistance of the diode is:
For the given circuit, the diode \( D \) is ideal. The power dissipated by the \( 300\ \Omega \) resistor is:
In the circuit shown, the ideality factor \( \eta \) of the diode is unity and the voltage drop across it is 0.7 V. The dynamic resistance of the diode at room temperature is approximately:
The common collector transistor configuration has the following property:
If both the junctions of a transistor are forward biased, then it will be in:
For a single-stage BJT common base amplifier:
In which of the following applications is the operational amplifier used in **nonlinear mode**?
The input resistance of the op-amp circuit shown is:
The output voltage \(V_o\) of the circuit is:
The operational amplifier uses differential input stage with a constant current source mainly to obtain:
In a sample and hold circuit with two buffers, one at input and the other at output, the primary requirement for both buffers is:
The potential difference between the input terminals of an op-amp can be treated as nearly zero if:
An ideal op-amp has the characteristic of an ideal:
For the active filter shown, the DC gain and the 3 dB cutoff frequency are nearly:
\[ C_1 = 1.0\ nF,\ R_1 = 15.9\ k\Omega,\ R_2 = 159\ k\Omega \]
A Class B push-pull complementary symmetry amplifier uses:
Match amplifier class with its conduction cycle:
Class list Cycle list
A Class A P one half cycle
B Class B Q less than half cycle
C Class AB R full cycle
D Class C S more than half cycle but less than full cycle
The OPAMP shown in the figure is:
For the RC circuit shown, the condition for obtaining \( \left|\frac{V_0}{V_{in}}\right| = \frac{1}{3} \) at frequency \( \omega \) rad/sec is:
The Boolean expression \( \overline{A + B + \overline{C}} \) is equal to:
The minimal sum of products form of \( f = \overline{A}BCD + \overline{A}BCD + BCD + \overline{A}BC \) is:
The expression \( a = \overline{AB} \) is equal to:
The combinational circuit shown uses a 4x1 multiplexer. The output \( Q \) of the circuit is:
The output \( Q_{n+1} \) of a JK flip-flop for the input \( J = 1, K = 1 \) is:
The minimum number of flip-flops required to design a mod-10 counter is:
The binary representation of the decimal number 1.375 is:
The result of \( 45_{10} - 45_{16} \), expressed in 6-bit 2's complement, is:
Which of the following logic families has the highest fan-out?
Which of the following has the refreshing circuitry?
A 4-bit synchronous counter with series carry uses flip-flops and two AND gates with propagation delays of 30 ns and 10 ns respectively. The max time between successive clock pulses is:
In the JK flip-flop shown, initial Q = 0. Find output sequence at Q after each clock if \( J = K = 1 \):
In the given circuit, the race around condition:
Introducing Schottky diode between base and collector of TTL output transistor:
A computer has a memory space of \( 2^{16} \) and word length of 24 bits. Each memory chip has 10 address lines and 8 data lines. Number of chips required is:
An 8-bit microcontroller with memory map from 8000H to 9FFFH stores how many bytes?
Which of the following statement is correct?
An advantage of dual slope A/D converter is:
The stack pointer in a microprocessor is a register containing:
A \( m \)-bit microprocessor has a \( m \)-bit:
For the signal \( x(t) = [1 + 0.5 \cos(40\pi t)] \cos(200\pi t) \), find the fundamental frequency in Hz.
Which of the following is not true for a continuous-time causal and stable LTI system?
Given \( h(t) = \delta(t-1) + \delta(t-3) \), find step response at \( t = 2 \).
Which one of the following discrete-time systems is time-invariant?
Which of the following sequence \( f(n) \) has z-transform \( X(z) = e^{1/z} \)?
If a real function \( f(t) \) has a Fourier Transform \( F(\omega) \), then the Fourier transform of \( f(t) - f(-t) \) is:
Find the inverse Fourier transform of \( F(f) = \frac{3\pi f}{1 + j\pi f} \)
A signal \( x(t) = 5 \cos(150\pi t - 60^\circ) \) is sampled at 200 Hz. The fundamental period of the sampled sequence \( x(n) \) is:
A bandlimited signal with highest frequency content of 1000 Hz is undergoing uniform sampling. The minimum sampling frequency required to recover the original signal is:
Match the modulation (List-1) with the type of demodulator (List-2):
List-1 List-2
A AM P. Envelope detector
B FM Q. Slope detector
R. Peak detector
A phase locked loop can be employed for demodulation of
In an FM Broadcast, the maximum frequency deviation allowed is 75 kHz and the maximum modulation frequency is 15 kHz. The bandwidth is closest to
The type of A/D converter normally used in a 3 ½ digit multimeter is
The instrument that does not have any restoring torque is
An ammeter with input resistance of 50 \(\Omega\) gives full scale deflection for 50 \(\mu\)A current.
The input resistance of a 0–1 mA ammeter obtained by connecting a shunt across the 0–50 \(\mu\)A meter will be:
Match the parameter (List-1) with the type of bridge (List-2) used for measurement:
List-1 List-2
A Low value of R P. Schering bridge
B High value of Q Q. Maxwell bridge
C Inductance L R. Kelvin double bridge
D Capacitance C S. Hay’s bridge
Wien bridge is best suited for the measurement of
If the open loop transfer function of the negative feedback control system is \[ G(s)H(s) = \frac{k}{(s+1)^3}, \]
then the gain \(k\) for a closed loop pole at \[ \left( \frac{1}{2} + j\frac{\sqrt{3}}{2} \right) \]
is:
A transfer function has two zeros at infinity. Then the relation between the numerator degree (N) and the denominator degree (M) of the transfer function is:
The transfer function of the system is the Laplace transform of its
The transfer function between \( y_2 \) and \( y_1 \) in the figure shown is:
A temperature control system is usually very sluggish. To improve its dynamics:
A first order system with a proportional controller exhibits an offset to step input. The offset can be reduced by:
An integral controller is used to:
The system \( G(s) = \frac{0.8}{s^2 + s - 2} \) is subjected to a step input. The system output \( y(t) \) as \( t \rightarrow \infty \) is:
If the transfer function of a system is \( G(s) = \frac{A}{s^2 + \omega^2} \), then the steady state gain of the system to a unit step input is:
Consider a unity feedback control system whose forward path transfer function is \( G(s) = \frac{K}{s^2} \). The steady state error for a step input is:
The breakaway point of the root locus on the real axis for a closed loop system with a loop gain \( G(s) = \frac{K(s+10)}{(s+2)(s+5)} \) is:
The phase margin of the system for which the loop gain \( GH(j\omega) = \frac{A_1}{(j\omega + 1)^3} \) is:
An optical fiber is characterized by
A step index optical fiber whose refractive indices of the core and cladding are 1.44 and 1.40 respectively, is surrounded by air. Its numerical aperture is
An optical fiber has a refractive index of 1.641 for the core and 1.422 for the cladding.
The critical angle above which a ray will be totally internally reflected is
The coherence length of the He-Ne laser beam is 120 cm. Its coherence time in seconds is:
Collimated light beams from a He-Ne laser and a sodium vapor lamp are focused using a lens.
The size of the spot at the focal point due to the laser is relatively smaller because
The Geiger counter has high quantum efficiency in the wavelength range of
Match the instruments with the parameters they measure:
List-1 (Instrument) List-2 (Parameter)
A Autocollimeter Q. Angular error
B Hygrometer S. Humidity
C Nephelometer T. Density
D Mass spectrometer R. Molecular weight
A psychrometric chart is used to determine
IR spectroscopy
Gas chromatography is used for
Korotkoff sounds are used
In the standard 12-lead ECG recording system, the minimum number of electrodes required to be attached to the human subject for recording any one of the unipolar chest lead signals is
A standard three-lead frontal plane ECG is taken from a person with a normal heart. The peak amplitude of R wave is
The treadmill test is used to diagnose
In an electromagnetic blood flow meter, the induced voltage is directly proportional to the
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