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Chapter 26 of 28
Formula Sheet

NucleiFormula Sheet

IISER Aptitude Test · Physics

Free Nuclei formula sheet for IISER Aptitude Test Physics 2026 — all important formulas, equations, and constants for quick reference.

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A diagram illustrating the vast difference in size between an atom and its nucleus, showing the nucleus as a tiny dot at the center of a much larger electron cloud.
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Formula Sheet — Nuclei

Important formulas and equations from Nuclei for IISER Aptitude Test Physics.

Formulas — Nuclei

Nuclear Composition and Size

R = R₀ × A^(1/3)
ρ = 2.29 × 10¹⁷ kg/m³
Volume = (4/3)πR³

Mass-Energy and Binding Energy

E = mc²
ΔM = [Z·mₚ + (A-Z)·mₙ] - M
Eᵦ = ΔM × c² = ΔM × 931 MeV
BE per nucleon = Eᵦ/A

Radioactivity and Decay

N(t) = N₀e^(-λt)
T₁/₂ = 0.693/λ = ln(2)/λ
A = λN = dN/dt
N = N₀/2^n

Nuclear Reactions

Q = (m_initial - m_final) × c² = (m_initial - m_final) × 931 MeV
For fission: Q ≈ 200 MeV per U-235
For fusion: 4¹H → ⁴He + 26.7 MeV

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Frequently Asked Questions

What topics are covered in Nuclei for IISER Aptitude Test?
Nuclei is an important chapter in IISER Aptitude Test Physics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Atomic Masses and Composition of Nucleus, Size of the Nucleus, Mass-Energy and Nuclear Binding Energy, Nuclear Force.
How important is Nuclei for IISER Aptitude Test?
Nuclei is a frequently tested chapter in IISER Aptitude Test Physics. Questions from this chapter appear regularly in previous year papers. There are 334 practice questions available for this chapter.
How to prepare Nuclei for IISER Aptitude Test?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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Get the full Nuclei chapter — for free.

Practice questions, revision notes, formula sheet and AI doubt-solver for IISER Aptitude Test Physics.