Part of JME-07 — Units, Measurements & Error Analysis

Common JEE Traps

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  • Same dimensions does NOT mean same physical quantity (work ≠ torque)
  • Dimensional correctness does NOT guarantee physical correctness
  • The argument of log, exp, sin must be dimensionless
  • Leading zeros are NEVER significant (0.0034 = 2 SF)
  • Subtracting nearly equal quantities amplifies relative error enormously
  • The variable with the HIGHEST power contributes the most error
  • Positive zero error: subtract from reading; negative: add
  • Constants (pi, 2, G) do not contribute to measurement error
  • The approximation g(1-2h/R) has nothing to do with this chapter — but dimensional analysis can check it
  • "Percentage error adds" is WRONG for sums — only for products/powers

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