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Operational Amplifiers & Analog Circuits

17 Official GATE PH Questions with Verified Solutions & Answer Keys

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Solved Questions for Operational Amplifiers & Analog Circuits

GATE PH 2007 • Q64 (MCQ) +2 Mark

The circuit shown is based on ideal operational amplifiers. It acts as a v,o m (A) subtractor. (B) buffer amplifier. (C) adder. (D) divider....

View Step-by-Step Derivation → • Answer Key: 0
GATE PH 2009 • Q10 (MCQ) +1 Mark

The Common Mode Rejection Ratio (CMRR) of a differential amplifier using an operational amplifier is 100 dB. The output voltage for a differential input of 200 uV is 2 V. The commo...

View Step-by-Step Derivation → • Answer Key: A
GATE PH 2013 • Q55 (NAT) +2 Mark

At 1.2kHz the closed loop gain is (A) 1 (B) 1.5 (C) 3 (D) 0.5 1kΩ 2kΩ V(out) 1000pF V(in) 10kΩ 2013 PHYSICS - PH PH 12/13 General Aptitude (GA) Questions Q. 56 - Q. 60 carry one ma...

View Step-by-Step Derivation → • Answer Key: 2.5
GATE PH 2017 • Q63 (NAT) +2 Mark

Consider an ideal operational amplifier as shown in the figure below with R1 = 5 kg, R2=1 kg, Ri =100 k. For an applied input voltage V = 10 mV, the current passing through R2 is _...

View Step-by-Step Derivation → • Answer Key: 9.80 to 10.20
GATE PH 2018 • Q30 (NAT) +1 Mark

For an operational amplifier (ideal) circuit shown below, 4 kg +10 V 0 2 kQ Viam ½am 5 kg if V1 = 1 V and V2 = 2 V, the value of Vo is -oVo RIS 010 V _V (up to one decimal place)....

View Step-by-Step Derivation → • Answer Key: ‐3.7 to ‐3.5
GATE PH 2021 • Q58 (NAT) +2 Mark

The Coulomb energy component in the binding energy of a nucleus is 18.432 MeV. If the radius of the uniform and spherical charge distribution in the nucleus is 3 fm, the correspond...

View Step-by-Step Derivation → • Answer Key: 8 to 9
GATE PH 2022 • Q20 (MSQ) +1 Mark

For an Op-Amp based negative feedback, non-inverting amplifier, which of the following statements are true?...

View Step-by-Step Derivation → • Answer Key: A, C, D
GATE PH 2023 • Q61 (NAT) +2 Mark

Consider an electromagnetic wave propagating in the z-direction in vacuum, with the magnetic field given by B⃗ = B⃗ 0ei(kz-\omegat). If B0 = 10-8 T, the average power passing throu...

View Step-by-Step Derivation → • Answer Key: 11.0 to 13.7
GATE PH 2023 • Q62 (NAT) +2 Mark

An \alpha-particle is emitted from the decay of Americium ( Am) at rest, i.e., Am94 241 → U92 237 + \alpha. The rest mass es of Am94 241 , U92 237 and \alpha are 224.544 GeV/c2, 22...

View Step-by-Step Derivation → • Answer Key: 4.90 to 4.94
GATE PH 2023 • Q63 (NAT) +2 Mark

Consider 6 identical, non-interacting, spin 1 2 atoms arranged on a crystal lattice at absolute temperature T. The z-component of the magnetic moment of each of these atoms can be ...

View Step-by-Step Derivation → • Answer Key: 15 to 15
GATE PH 2024 • Q60 (NAT) +2 Mark

Lagrangian of a particle of mass m is L = 1 2 mẋ 2 - 𝜆x4, where 𝜆 is a positive constant. If the particle oscillates with total energy E, the n the time period of oscillations i...

View Step-by-Step Derivation → • Answer Key: 4 to 4
GATE PH 2024 • Q63 (NAT) +2 Mark

Consider the operational amplifier circuit shown in figure. The output voltage V0 is _____ V (in integer)....

View Step-by-Step Derivation → • Answer Key: -12 to -12
GATE PH 2025 • Q65 (NAT) +2 Mark

The figure shows an opamp circuit with a 5.1 V Zener diode in the feedback loop. The opamp runs from ±15 V supplies. If a +1V signal is applied at the input, the output voltage (ro...

View Step-by-Step Derivation → • Answer Key: 7.0 to 7.2
GATE PH 2026 • Q27 (MSQ) +1 Mark

For which of the following functions does the Laplacian vanish?...

View Step-by-Step Derivation → • Answer Key: C;D
GATE PH 2026 • Q28 (NAT) +1 Mark

A projectile of mass m is launched from the ground with the initial speed v0 at an angle 30° from the horizontal. Take the ground to be horizontal. Ignoring the drag, the magnitude...

View Step-by-Step Derivation → • Answer Key: 0.32 to 0.34
GATE PH 2026 • Q53 (MSQ) +2 Mark

Consider the distribution of outcomes generated by N (N ≫ 1) independent throws of (i) a coin or (ii) a six-sided dice. A coin (dice) is unbiased if both (all) its sides have equal...

View Step-by-Step Derivation → • Answer Key: A;C
GATE PH 2026 • Q54 (MSQ) +2 Mark

The dispersion (E(k)) of the conduction band (CB) and valence band (VB) for a semiconductor are shown schematically in the figure. Considering the possibility of an electron making...

View Step-by-Step Derivation → • Answer Key: C;D