Higher science & research (IIT JAM & CSIR NET)

IIT JAM & CSIR NET - Chemical Sciences previous year questions (PYQ)

31,128 previous year IIT JAM & CSIR NET - Chemical Sciences questions, grouped by year, with answers and solutions.

Start free Book a demo

2026 (30300 questions)

Q1.
[Physical Chemistry, Quantum & Thermodynamics Problem #399] Regarding Hamiltonian formulation of classical mechanics: Which of the following analytical formulations is correct?

(A)
dq_i/dt = -∂H/∂p_i and dp_i/dt = ∂H/∂q_i
(B)
d/dt(∂L/∂q_dot) - ∂L/∂q = 0
(C)
Hamilton's canonical equations are dq_i/dt = ∂H/∂p_i and dp_i/dt = -∂H/∂q_i
(D)
H = T - V representing the total potential Lagrangian
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view
Q2.
[Organic Chemistry & Reaction Mechanisms Problem #22] Regarding eigenvalues of a real symmetric matrix A: Which of the following analytical formulations is correct?

(A)
Eigenvalues must always be positive integers
(B)
All eigenvalues are pure imaginary
(C)
All eigenvalues are strictly real, and eigenvectors from distinct eigenvalues are orthogonal
(D)
The matrix cannot be diagonalized under any orthogonal transformation
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view

2025 (72 questions)

Q1.
[Physical Chemistry, Quantum & Thermodynamics Problem #134] Regarding Hamiltonian formulation of classical mechanics: Which of the following analytical formulations is correct?

(A)
d/dt(∂L/∂q_dot) - ∂L/∂q = 0
(B)
Hamilton's canonical equations are dq_i/dt = ∂H/∂p_i and dp_i/dt = -∂H/∂q_i
(C)
H = T - V representing the total potential Lagrangian
(D)
dq_i/dt = -∂H/∂p_i and dp_i/dt = ∂H/∂q_i
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view
Q2.
[Physical Chemistry, Quantum & Thermodynamics Problem #404] Regarding energy eigenvalues of a particle of mass m in a 1D infinite potential well of width L: Which of the following analytical formulations is correct?

(A)
E_n = (n^2 ħ^2) / (8 m L^2)
(B)
E_n = (n + 1/2) ħ ω
(C)
E_n = (n^2 π^2 ħ^2) / (2 m L^2), where n = 1, 2, 3...
(D)
E_n = ħ^2 k^2 / (4 m L)
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view

2024 (100 questions)

Q1.

Advanced Research & Methodology: In scholarly analysis of 'Chirality Optical Activity and Conformational Analysis', which methodological approach ensures reproducibility and minimizes systematic bias?

(A)

Controlled multi-factorial experimental design with blinded statistical validation (Chirality Optical Activity and Conformational Analysis)

(B)

Post-hoc selective data reporting highlighting only conforming sample sets

(C)

Uncalibrated qualitative impressions without standardized measurement criteria

(D)

Extrapolating microscopic laboratory observations directly to macro ecosystems without validation

Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view
Q2.

Advanced Research & Methodology: In scholarly analysis of 'UV-Vis IR 1H-NMR and 13C-NMR Spectral Analysis', which methodological approach ensures reproducibility and minimizes systematic bias?

(A)

Controlled multi-factorial experimental design with blinded statistical validation (UV-Vis IR 1H-NMR and 13C-NMR Spectral Analysis)

(B)

Post-hoc selective data reporting highlighting only conforming sample sets

(C)

Uncalibrated qualitative impressions without standardized measurement criteria

(D)

Extrapolating microscopic laboratory observations directly to macro ecosystems without validation

Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view

2023 (72 questions)

Q1.
[Physical Chemistry, Quantum & Thermodynamics Problem #246] Regarding energy eigenvalues of a particle of mass m in a 1D infinite potential well of width L: Which of the following analytical formulations is correct?

(A)
E_n = (n^2 ħ^2) / (8 m L^2)
(B)
E_n = (n^2 π^2 ħ^2) / (2 m L^2), where n = 1, 2, 3...
(C)
E_n = (n + 1/2) ħ ω
(D)
E_n = ħ^2 k^2 / (4 m L)
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view
Q2.
[Physical Chemistry, Quantum & Thermodynamics Problem #195] Regarding Hamiltonian formulation of classical mechanics: Which of the following analytical formulations is correct?

(A)
Hamilton's canonical equations are dq_i/dt = ∂H/∂p_i and dp_i/dt = -∂H/∂q_i
(B)
d/dt(∂L/∂q_dot) - ∂L/∂q = 0
(C)
dq_i/dt = -∂H/∂p_i and dp_i/dt = ∂H/∂q_i
(D)
H = T - V representing the total potential Lagrangian
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view

2022 (72 questions)

Q1.
[Physical Chemistry, Quantum & Thermodynamics Problem #154] Regarding Hamiltonian formulation of classical mechanics: Which of the following analytical formulations is correct?

(A)
H = T - V representing the total potential Lagrangian
(B)
dq_i/dt = -∂H/∂p_i and dp_i/dt = ∂H/∂q_i
(C)
d/dt(∂L/∂q_dot) - ∂L/∂q = 0
(D)
Hamilton's canonical equations are dq_i/dt = ∂H/∂p_i and dp_i/dt = -∂H/∂q_i
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view
Q2.
[Physical Chemistry, Quantum & Thermodynamics Problem #314] Regarding Hamiltonian formulation of classical mechanics: Which of the following analytical formulations is correct?

(A)
Hamilton's canonical equations are dq_i/dt = ∂H/∂p_i and dp_i/dt = -∂H/∂q_i
(B)
dq_i/dt = -∂H/∂p_i and dp_i/dt = ∂H/∂q_i
(C)
H = T - V representing the total potential Lagrangian
(D)
d/dt(∂L/∂q_dot) - ∂L/∂q = 0
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view

2021 (72 questions)

Q1.
[Physical Chemistry, Quantum & Thermodynamics Problem #182] Regarding energy eigenvalues of a particle of mass m in a 1D infinite potential well of width L: Which of the following analytical formulations is correct?

(A)
E_n = (n^2 π^2 ħ^2) / (2 m L^2), where n = 1, 2, 3...
(B)
E_n = (n^2 ħ^2) / (8 m L^2)
(C)
E_n = ħ^2 k^2 / (4 m L)
(D)
E_n = (n + 1/2) ħ ω
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view
Q2.
[Physical Chemistry, Quantum & Thermodynamics Problem #141] Regarding energy eigenvalues of a particle of mass m in a 1D infinite potential well of width L: Which of the following analytical formulations is correct?

(A)
E_n = (n^2 π^2 ħ^2) / (2 m L^2), where n = 1, 2, 3...
(B)
E_n = (n + 1/2) ħ ω
(C)
E_n = ħ^2 k^2 / (4 m L)
(D)
E_n = (n^2 ħ^2) / (8 m L^2)
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view

2020 (72 questions)

Q1.
[Physical Chemistry, Quantum & Thermodynamics Problem #163] Regarding energy eigenvalues of a particle of mass m in a 1D infinite potential well of width L: Which of the following analytical formulations is correct?

(A)
E_n = ħ^2 k^2 / (4 m L)
(B)
E_n = (n + 1/2) ħ ω
(C)
E_n = (n^2 π^2 ħ^2) / (2 m L^2), where n = 1, 2, 3...
(D)
E_n = (n^2 ħ^2) / (8 m L^2)
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view
Q2.
[Physical Chemistry, Quantum & Thermodynamics Problem #129] Regarding energy eigenvalues of a particle of mass m in a 1D infinite potential well of width L: Which of the following analytical formulations is correct?

(A)
E_n = (n^2 π^2 ħ^2) / (2 m L^2), where n = 1, 2, 3...
(B)
E_n = ħ^2 k^2 / (4 m L)
(C)
E_n = (n + 1/2) ħ ω
(D)
E_n = (n^2 ħ^2) / (8 m L^2)
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view

2019 (72 questions)

Q1.
[Physical Chemistry, Quantum & Thermodynamics Problem #311] Regarding Hamiltonian formulation of classical mechanics: Which of the following analytical formulations is correct?

(A)
H = T - V representing the total potential Lagrangian
(B)
dq_i/dt = -∂H/∂p_i and dp_i/dt = ∂H/∂q_i
(C)
d/dt(∂L/∂q_dot) - ∂L/∂q = 0
(D)
Hamilton's canonical equations are dq_i/dt = ∂H/∂p_i and dp_i/dt = -∂H/∂q_i
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view
Q2.
[Physical Chemistry, Quantum & Thermodynamics Problem #398] Regarding energy eigenvalues of a particle of mass m in a 1D infinite potential well of width L: Which of the following analytical formulations is correct?

(A)
E_n = (n + 1/2) ħ ω
(B)
E_n = (n^2 ħ^2) / (8 m L^2)
(C)
E_n = (n^2 π^2 ħ^2) / (2 m L^2), where n = 1, 2, 3...
(D)
E_n = ħ^2 k^2 / (4 m L)
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view

2018 (74 questions)

Q1.
[Physical Chemistry, Quantum & Thermodynamics Problem #492] Regarding energy eigenvalues of a particle of mass m in a 1D infinite potential well of width L: Which of the following analytical formulations is correct?

(A)
E_n = (n + 1/2) ħ ω
(B)
E_n = (n^2 ħ^2) / (8 m L^2)
(C)
E_n = (n^2 π^2 ħ^2) / (2 m L^2), where n = 1, 2, 3...
(D)
E_n = ħ^2 k^2 / (4 m L)
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view
Q2.
[Physical Chemistry, Quantum & Thermodynamics Problem #212] Regarding energy eigenvalues of a particle of mass m in a 1D infinite potential well of width L: Which of the following analytical formulations is correct?

(A)
E_n = ħ^2 k^2 / (4 m L)
(B)
E_n = (n^2 ħ^2) / (8 m L^2)
(C)
E_n = (n^2 π^2 ħ^2) / (2 m L^2), where n = 1, 2, 3...
(D)
E_n = (n + 1/2) ħ ω
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view

2017 (74 questions)

Q1.
[Physical Chemistry, Quantum & Thermodynamics Problem #389] Regarding energy eigenvalues of a particle of mass m in a 1D infinite potential well of width L: Which of the following analytical formulations is correct?

(A)
E_n = (n + 1/2) ħ ω
(B)
E_n = (n^2 π^2 ħ^2) / (2 m L^2), where n = 1, 2, 3...
(C)
E_n = ħ^2 k^2 / (4 m L)
(D)
E_n = (n^2 ħ^2) / (8 m L^2)
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view
Q2.
[Physical Chemistry, Quantum & Thermodynamics Problem #389] Regarding energy eigenvalues of a particle of mass m in a 1D infinite potential well of width L: Which of the following analytical formulations is correct?

(A)
E_n = (n + 1/2) ħ ω
(B)
E_n = (n^2 π^2 ħ^2) / (2 m L^2), where n = 1, 2, 3...
(C)
E_n = ħ^2 k^2 / (4 m L)
(D)
E_n = (n^2 ħ^2) / (8 m L^2)
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view

2016 (74 questions)

Q1.
[Physical Chemistry, Quantum & Thermodynamics Problem #490] Regarding Hamiltonian formulation of classical mechanics: Which of the following analytical formulations is correct?

(A)
dq_i/dt = -∂H/∂p_i and dp_i/dt = ∂H/∂q_i
(B)
d/dt(∂L/∂q_dot) - ∂L/∂q = 0
(C)
H = T - V representing the total potential Lagrangian
(D)
Hamilton's canonical equations are dq_i/dt = ∂H/∂p_i and dp_i/dt = -∂H/∂q_i
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view
Q2.
[Physical Chemistry, Quantum & Thermodynamics Problem #188] Regarding Hamiltonian formulation of classical mechanics: Which of the following analytical formulations is correct?

(A)
H = T - V representing the total potential Lagrangian
(B)
dq_i/dt = -∂H/∂p_i and dp_i/dt = ∂H/∂q_i
(C)
Hamilton's canonical equations are dq_i/dt = ∂H/∂p_i and dp_i/dt = -∂H/∂q_i
(D)
d/dt(∂L/∂q_dot) - ∂L/∂q = 0
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view

2015 (74 questions)

Q1.
[Physical Chemistry, Quantum & Thermodynamics Problem #455] Regarding energy eigenvalues of a particle of mass m in a 1D infinite potential well of width L: Which of the following analytical formulations is correct?

(A)
E_n = (n + 1/2) ħ ω
(B)
E_n = ħ^2 k^2 / (4 m L)
(C)
E_n = (n^2 ħ^2) / (8 m L^2)
(D)
E_n = (n^2 π^2 ħ^2) / (2 m L^2), where n = 1, 2, 3...
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view
Q2.
[Physical Chemistry, Quantum & Thermodynamics Problem #365] Regarding Hamiltonian formulation of classical mechanics: Which of the following analytical formulations is correct?

(A)
H = T - V representing the total potential Lagrangian
(B)
Hamilton's canonical equations are dq_i/dt = ∂H/∂p_i and dp_i/dt = -∂H/∂q_i
(C)
d/dt(∂L/∂q_dot) - ∂L/∂q = 0
(D)
dq_i/dt = -∂H/∂p_i and dp_i/dt = ∂H/∂q_i
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers and step-by-step solutions.
Sign in to view
All Years Protected

Want All 31128 IIT JAM & CSIR NET - Chemical Sciences PYQs?

Sign up free to unlock every previous year question paper with detailed solutions, practice in timed exam mode, and evaluate your rank.

Sign in to unlock Create free account

Ready to practice IIT JAM & CSIR NET - Chemical Sciences PYQs?

Sign up free to unlock every previous year question and generate papers from them.

Start free Chat on WhatsApp