JEE VELOCITY TRAINER

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Exam economics

Speed is a subject.

JEE isn't only about knowing — it's about time economics. This trainer measures what every solve costs: Time-Efficiency Ratio (TER), Topper-Velocity zones, time leaks, and guess-vs-concept diagnostics.

Front door

Crack JEE Spectroscopy in 20 Seconds

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streak 0
Session report

Your velocity map

Exam economics
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avg TER (target ÷ actual)
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time leaked on correct-but-slow solves
Greed vs concept-gap

Greed = wrong answer with a first tap faster than the question's guess threshold (a guess-flag, not a judgement). Concept-gap = wrong with a genuine attempt.

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greed flags
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concept-gap flags
Completion estimate

Per-topic
Interactive mental model

The bromine coin flip

Bromine comes in two flavors — ⁷⁹Br and ⁸¹Br — about 50/50 each. Flip a pair of bromine coins 40 times and watch the mass-spec peaks build themselves:

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Why it works

Two bromines give combinations (79,79), (79,81)/(81,79), (81,81) → peaks at M, M+2, M+4 in ratio 1 : 2 : 1. You don't memorize the table — you just built it. Same idea for chlorine: ³⁵Cl : ³⁷Cl is 3 : 1, so two chlorines square it → 9 : 6 : 1.

Symmetry

Fold the benzene

p-Dibromobenzene has a centre of symmetry: all four ring protons live identical lives → one singlet (4H) near δ 7.5. The ortho isomer is crowded and asymmetric → multiple signals. Para with different groups → two doublets (2H each).

Printable

Spectroscopy Hack Sheet

Halogen patternPeaksRatioOrigin
1 × ClM, M+23 : 1³⁵Cl : ³⁷Cl ≈ 75% : 25%
2 × ClM, M+2, M+49 : 6 : 1(3+1)² expansion
1 × BrM, M+21 : 1⁷⁹Br : ⁸¹Br ≈ 50% : 50%
2 × BrM, M+2, M+41 : 2 : 1two-coin combinations
Benzene substitution¹H NMR
1,4-disubstituted, identical groups (para)1 singlet, 4H
1,4-disubstituted, different groups2 doublets, 2H each
1,2-disubstituted (ortho)multiple signals
Examiner traps
  • Trap 1: the singlet must integrate to 4H — a 1H singlet is a different beast.
  • Trap 2: low-resolution spectra can smear ortho's mess into a fake blob.
  • Shortcut: read halogen counts from isotope ratios FIRST — it slaughters options before any arithmetic.