Quick notes · FACT exam

Forensic Physics

All eight syllabus sub-topics · definitions · formulas · memory hooks

Pair these with the FACT Forensic Physics mocks for full coverage. The mocks have detailed explanations; these notes are the cheat sheet.

01.Evidence Collection

Locard's exchange principle

Every contact leaves a trace, in both directions. Foundation of trace evidence.

Documentation order

Wide → mid → close-up (with scale) → sketch → notes. All before anything is touched.

Wet biological packaging

Air-dry first, then paper. Never plastic — moisture kills DNA in days.

Bloodstain on porous surface

Excise the substrate + a clean control patch. Air-dry. Paper bag.

Search patterns

Grid (small enclosed) · Spiral (centred outdoor) · Strip (large open) · Zone (multi-area).

Panchnama (BNSS)

Witnessed inventory: each item, location, seal number, signed by two independent panch. For digital evidence, include SHA-256 hash on the memo.

Memory hook

Life first → document the disturbance → preserve what's left.

02.Analytical Instruments

Microscopy choice

Compound (thin, transmitted) · Stereo / Comparison (3-D opaque, raking light) · PLM (birefringence) · SEM-EDX (morphology + elements).

SEM modes

SE = topography (surface). BSE = atomic-number contrast (composition).

Beer-Lambert

A = ε × c × l. Linear range 0.1–1.0 absorbance. Above 1.0 → dilute and re-measure.

FTIR vs ATR

ATR-FTIR is non-destructive on solids (paint chips, fibres, films). KBr-pellet for ground powders. Diamond / ZnSe / Ge crystal, ~0.5–2 µm penetration.

Raman vs IR (water)

Water absorbs IR strongly, scatters Raman weakly → Raman wins for aqueous samples.

ICP-MS vs ICP-AES vs AAS

ICP-MS: ppt, multi-element, isotopic. ICP-AES: ppb-ppm, multi-element. AAS: ppb, single-element.

GSR (ASTM E1588)

Pb + Sb + Ba on a 1–5 µm spheroid = GSR-consistent. SEM-EDX is the workhorse.

GC-MS confirmation (SWGDRUG Cat-A)

Library mass-spectrum match + co-injected reference retention time. Both required.

LC-MS/MS

Polar / thermolabile / non-volatile compounds. Tandem MRM for high specificity. Use deuterated internal standards for matrix-effect correction.

XRD

Bragg's law: nλ = 2d sin θ. Match d-spacings vs ICDD-PDF library. Distinguishes polymorphs (cocaine HCl vs base).

LIBS

Pulsed laser → microplasma → atomic emission. Portable, near-non-destructive, depth profiling.

TLC R_f

R_f = spot distance / solvent distance. Reproducible identifier on the same plate. For basic drugs on silica: chloroform-methanol-ammonia (90:9:1).

Memory hook

Match the technique to the sample, not the other way around.

03.Pattern Evidence

Bloodstain angle of impact

sin θ = width / length. Tail points toward direction of travel.

Velocity classification

HVIS < 1 mm (gunshot, mist) · MVIS 1–4 mm (blunt force) · cast-off ≥ 4 mm (swung weapon).

Glass: 3R rule

Radial cracks form Right angles on the Reverse side from impact.

Glass: radial-termination rule

New cracks stop at old cracks. Earlier impact's radials dominate.

Bullet through glass

Cone of debris points in the direction the bullet was travelling.

Tool-mark hierarchy

Class (type) · Sub-class (manufacturing batch — the trap) · Individual (random acquired marks).

Tyre marks

Track width + wheelbase → vehicle size class. Cuts and embedded debris individualise.

Hair DNA

Tag with tissue → nuclear STR (individualising). Shaft only → mtDNA HV1/HV2 (maternal-line).

Fibre transfer hierarchy

Primary (direct) · Secondary (one intermediate) · Tertiary (two). Each step attenuates.

Footprint stature

Foot length ≈ 0.15 × stature. Class-level evidence; report a range, not a point.

Bite marks

Now considered weak (NAS 2009, PCAST 2016). Exclusion only — never identification.

Memory hook

Pattern evidence: class first, then look for individualising features.

04.Math & Statistics

Likelihood ratio (LR)

LR = P(E | H_p) / P(E | H_d). Strength of evidence. Court owns the prior.

Bayesian combination

Posterior odds = prior odds × LR. Multiply, never divide.

Prosecutor's fallacy

LR ≠ probability of guilt. Posterior depends on prior; high LR alone doesn't convict.

Empirical rule

68% within 1 SD · 95% within 2 SD · 99.7% within 3 SD.

SEM vs SD

SD = data spread. SEM = SD / √n = mean precision. Use SD for variability, SEM for confidence in mean.

Coefficient of variation

CV = SD / mean × 100%. Dimensionless. <5% for well-developed methods.

Random match probability (RMP)

Product of per-locus match probabilities (independence + HWE). 13 CODIS loci → ~10⁻¹³.

Theta (θ) correction

Population substructure correction. 0.01 (homogeneous) to 0.03 (subdivided). Conservative default 0.03.

Type I vs Type II

Type I = false positive (α). Type II = false negative (β). Power = 1 − β.

Memory hook

Forensic stats reports the LR; the court combines with prior to reach posterior.

05.Voice Authentication

Formants

F1, F2, F3, F4 = vocal-tract resonances. Adult male: F1 ~730, F2 ~1090, F3 ~2440 Hz on /a/. Adult female: F1 ~850, F2 ~1220, F3 ~2810 Hz.

F0 (pitch)

Adult male 85–180 Hz · Adult female 165–255 Hz · Children > 250 Hz.

Pitch-shift disguise

Raises F0 but not formants → acoustic inconsistency detectable on spectrogram.

GSM codec effects

Narrowband 300–3400 Hz. F4 lost, F3 at edge. Band-limit reference recording to match.

Cepstrum + MFCCs

Separates source (F0) from filter (formants). MFCCs are the standard ASR feature.

Voice quality

H1-H2 (breathiness), spectral tilt, jitter (F0 cycle-to-cycle), shimmer (amplitude). GRBAS / CAPE-V auditory scales.

Whispered speech

No F0. Formants + voice quality + prosody + lexis still discriminate.

ASR generations

GMM-UBM → i-vector → x-vector → ECAPA-TDNN. Modern EER < 1% on clean recordings.

ASVspoof

Anti-spoofing benchmark for TTS / voice-cloning / replay attack detection.

Memory hook

Speaker comparison = F0 + formants + prosody + idiolect + voice quality, reported via LR.

06.Video Analysis

Frame-rate verification

Count frames during a known-duration event. DVR nominal ≠ actual.

H.264/H.265 frame types

I (intra, full data, best) · P (predicted from past) · B (bidirectional). Extract I-frames for analysis.

DVR clock skew

Photograph DVR display + accurate reference at seizure. Document offset. Never reset clock.

De-interlacing

Comb-tooth artefact on moving objects in interlaced video. De-interlace before plate / face analysis.

Photogrammetric height

H_actual = h_image × distance / focal_length. Use scene reference markers + lens calibration.

CCTV speed

time = Δframes / fps. speed = distance / time. Verify frame rate first.

PRNU

Sensor noise fingerprint per camera instance. High cross-correlation → camera-source match.

Lens distortion

Wide-angle = barrel distortion. Calibrate with checkerboard, undistort before measurement.

Super-resolution caveat

Multi-frame SR = legitimate. AI hallucination = invents content; not defensible without disclosure.

Deepfake detection

Pixel artefacts + temporal flow + rPPG (heart rate) + double-compression + ML classifiers.

Memory hook

Preserve original, work on a copy, document every step, never invent detail.

07.Criminalistics & Engineering

IS 269 (cement)

Insoluble residue ≤ 4% · MgO ≤ 6% · 28-day strength per grade. Failures = adulteration / unsoundness.

IS 1786 (rebar)

Fe 500 = yield ≥ 500 N/mm². Below spec → structural risk + remediation.

IS 456 (concrete)

150 mm cubes, 28-day compressive test. M20 = 20 MPa minimum.

Fire (NFPA 921)

V-pattern apex points to origin. Floor-level apex + serpentine pour + ILR (GC-MS) = arson.

Arc bead vs fire-melt

Arc: sharp boundary, dendritic, oxide enrichment (rapid cool). Fire-melt: blobby, gradual transition, oxidised throughout.

Currency (RBI)

Intaglio relief is the touch test — counterfeits use offset / inkjet without relief.

Explosives

TNT M+ at m/z 227 (GC-MS). RDX/HMX/PETN by HPLC-MS/MS. Inorganic ions by IC. NH₄NO₃ phase IV at room temp by XRD.

ASTM E1618 IL classes

Gasoline · Light/Medium/Heavy petroleum distillate · Isoparaffinic · Naphthenic-paraffinic · Normal alkane · Oxygenated · Miscellaneous.

Diatom test

Diatoms in bone marrow (femur / sternum) with water species match → ante-mortem drowning.

Palynology

Pollen species + seasonal flowering windows → location / season / PMI.

Counterfeit gold (XRF)

Cu/Zn ~4:1 + small Au = brass with thin gold plating. Density (Au 19.3 vs brass 8.5) confirms.

Memory hook

Indian Standards anchor the analysis: IS 269 / 456 / 1786 / 4151 / 4031 series.

08.Collision Investigation

Skid speed

v = √(2gμd). Dry asphalt μ ≈ 0.7. 25 m skid → ~67 km/h. Lower bound on pre-skid speed.

ABS pattern

Intermittent dotted marks. Skid formula doesn't apply; use EDR data.

Yaw mark

v = √(g × r × μ). Curved mark with cross-tyre striations. Speed at grip-loss.

Pedestrian throw

Searle: v = √(2gd × μ / (1 + μ²)). Han: v ≈ 4.06 + 0.89√d. Report range, not point.

Conservation of momentum

m_A v_A + m_B v_B = (m_A + m_B) v_f for collinear inelastic. Vector decomposition for off-axis.

EDR (SAE J1698)

Last 5–15 s pre-impact: speed, throttle, brake, steering, ABS, seat-belt, delta-v.

AEB analysis

TTC = distance / closing speed. Required braking = v² / (2a). Compare against available distance.

Static Stability Factor

SSF = (track / 2) / CG height. Sedan 1.3–1.5 · SUV 1.0–1.2 · loaded tanker 0.6–0.8.

Helmet (IS 4151)

Shell + EPS liner crush + chinstrap + certification + drop-test attenuation.

Airbag + seatbelt

Complementary, not alternative. Airbag without seatbelt → facial / chest injury from inflation.

Memory hook

Always check: ABS or not, EDR available, μ measured (not generic).

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© ForensicSpot · Quick notes for educational use. Pair with primary references (Saferstein, Sharma, NFPA 921, ASTM, ENFSI, BIS standards) for full study.