Higher Education Physics & Mathematics National Entrance Exams

Crack NET, GATE, JEST, JAM, TIFR & CUET PG With Real Exam Simulation

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CBT Exam Mode Simulation • Time Remaining: 02:44:19
Section: Physical Sciences (Part C)
CSIR NET • Quantum Mechanics Marks: +4.0 / -1.0
A particle of mass \(m\) moves in a 1D infinite potential well defined by \(V(x) = 0\) for \(0 \le x \le a\) and \(\infty\) elsewhere. A small perturbing potential \(H' = \alpha \delta(x - a/2)\) is applied. What is the first-order energy shift for the first excited state (\(n = 2\))?
\[ \Delta E_n^{(1)} = \langle \psi_n^{(0)} | H' | \psi_n^{(0)} \rangle = \int_0^a \left|\sqrt{\frac{2}{a}} \sin\left(\frac{n\pi x}{a}\right)\right|^2 \alpha \delta\left(x - \frac{a}{2}\right) dx \]
A \( \frac{2\alpha}{a} \)
\( 0 \) (Since \( \sin(2\pi \cdot \frac{1}{2}) = \sin(\pi) = 0 \))
C \( \frac{\alpha}{a} \)
D \( \frac{\alpha}{2a} \)
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From undergraduate milestone exams (JAM, CUET PG) to research fellowship and doctorate entrances (CSIR NET, GATE, JEST, TIFR), PhyLearn structures its question bank to match exact current patterns.

JRF & Assistant Prof

CSIR UGC NET

Physical Sciences • Mathematical Sciences

Rigorous preparation for Junior Research Fellowship and Lectureship. Features Part A (General Aptitude), Part B (Core), and Part C (Advanced Analytical Problems) with -25% negative marking.

Exam Pattern: Part A, B, C (MCQs)
Marking Scheme: +2, +3.5, +4 / -25% penalty
Frequency: Twice a year (June & Dec)
IITs • IISc • PSUs

GATE (PH & MA)

Physics (PH) • Mathematics (MA)

Graduate Aptitude Test in Engineering for M.Tech/PhD admissions and recruitment in BARC, DRDO, ONGC, and ISRO. Includes full support for Numerical Answer Type (NAT) and MSQs.

Question Types: MCQ, MSQ, NAT (Numerical)
Key Tools: Virtual Scientific Calculator
Score Validity: 3 Years for Higher Studies
PhD & Integrated PhD

JEST

Joint Entrance Screening Test (Physics)

Gateway to premier physics research institutes across India: TIFR, IISERs, IUCAA, HRI, SINP, RRI, IIA, and IPR. Tests deep conceptual physics intuition and mathematical rigour.

Sections: Part A, Part B, Part C
Institutes: 30+ Premier Research Centers
Difficulty: Advanced Conceptual
M.Sc. at IITs & IISc

IIT JAM

Physics (PH) • Mathematics (MA)

Joint Admission Test for M.Sc. and Integrated PhD programs at IITs, IISc, and IISERs. Thorough practice covering Section A (MCQs), Section B (MSQs), and Section C (NAT questions).

Section A: 30 MCQs (Negative marking)
Section B & C: 10 MSQs + 20 NATs (No negative)
Target Degree: M.Sc. / M.Sc.-Ph.D. Dual
National Research Fellowships

TIFR GS

Graduate School (Physics & Mathematics)

Graduate school admission examination for Tata Institute of Fundamental Research (Mumbai), ICTS (Bengaluru), NCRA (Pune), and TIFR Hyderabad. Known for original, non-trivial questions.

Programs: PhD & Integrated M.Sc.-PhD
Focus Areas: Fundamental Theoretical & Exp.
Fellowship: Full Institutional Support
Central Universities

CUET PG

Central Universities PG (M.Sc. Physics & Math)

Single entrance window for M.Sc. admissions in Delhi University (DU), Banaras Hindu University (BHU), Jawaharlal Nehru University (JNU), and Hyderabad Central University (HCU).

Pattern: 75 Domain-specific MCQs
Marking: +4 for correct, -1 for incorrect
Universities: 100+ Participating Universities

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Physics & Mathematics Disciplines Covered

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Physical Sciences

Classical Mechanics • Lagrangian & Hamiltonian Quantum Mechanics • Perturbation Theory Electromagnetic Theory • Maxwell's Equations Thermodynamics & Statistical Physics Atomic & Molecular Spectroscopy Condensed Matter Physics • Band Theory Nuclear & Elementary Particle Physics Mathematical Physics • Complex Analysis Electronics & Experimental Methods General Relativity & Astrophysics

Mathematical Sciences

Linear Algebra • Eigenvalues & Jordan Forms Real Analysis • Metric Spaces & Measure Complex Analysis • Residue Theorem Abstract Algebra • Group & Ring Theory Ordinary & Partial Differential Equations Calculus of Variations & Integral Equations Numerical Analysis • Iterative Schemes Probability & Statistics Topology • Compactness & Connectedness Classical Mechanics (Variational Principles)
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Exams Covered

PhyLearn specializes in higher education entrance and fellowship examinations for Physics and Mathematics, specifically: CSIR UGC NET (Physical Sciences & Mathematical Sciences), GATE (PH & MA), JEST (Joint Entrance Screening Test for Ph.D. & Int. Ph.D.), IIT JAM (M.Sc. admissions), TIFR GS (Tata Institute of Fundamental Research Graduate School), and CUET PG for central universities.

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