Error formulas

Every formula JEE Advanced expects you to know for Error, with the variables spelled out. Free, no sign-up. Read it before a mock, not during one.

Practise these formulas

Formulas: 21
Subject: Physics
Exam: JEE Advanced
No sign-in needed: ₹0

Error, every formula

21 formulas, typeset and free. Print it, or keep it open beside your practice.

Mean value
$a_{m e an} = \frac{1}{n} i = 1 \sum n a_{i}$
Absolute error
$Δ a_{i} = ∣ a_{m e an} - a_{i} ∣$
Mean absolute error
$Δ a_{m e an} = \frac{1}{n} i = 1 \sum n ∣Δ a_{i} ∣$
Relative error
$rel. error = \frac{Δ a _{m e an}}{a _{m e an}}$
Percentage error
$δ a = \frac{Δ a _{m e an}}{a _{m e an}} \times 100%$
Error in a sum
$Z = A + B \Rightarrow Δ Z = Δ A + Δ B$
Error in a difference
$Z = A - B \Rightarrow Δ Z = Δ A + Δ B$
Error in a product
$Z = A B \Rightarrow \frac{Δ Z}{Z} = \frac{Δ A}{A} + \frac{Δ B}{B}$
Error in a quotient
$Z = \frac{A}{B} \Rightarrow \frac{Δ Z}{Z} = \frac{Δ A}{A} + \frac{Δ B}{B}$
Error in a power
$Z = A^{n} \Rightarrow \frac{Δ Z}{Z} = n \frac{Δ A}{A}$
General combination
$Z = \frac{A ^{a} B ^{b}}{C ^{c}} \Rightarrow \frac{Δ Z}{Z} = a \frac{Δ A}{A} + b \frac{Δ B}{B} + c \frac{Δ C}{C}$
Least count error
$Δ a = least count of the instrument$
Max permissible error
$Δ a = place value of the last digit$
Systematic error
$consistent bias (miscalibration, procedure)$
Random error
$scatter from fluctuations; reduced by averaging$
Precision
$small random error \Rightarrow high precision$
Accuracy
$small random + systematic error \Rightarrow high accuracy$
Sig. figs (nonzero digits)
$all nonzero digits are significant$
Sig. figs (multiplication)
$result has the least number of significant figures$
Sig. figs (addition)
$result has the least number of decimal places$
Error interval
$a \in (a_{m e an} - Δ a, a_{m e an} + Δ a)$

Know the Error formulas. Now use them.

Formulas only stick when you apply them under time. Adaptive practice picks the concept you keep dropping marks on.

Create a free account All formula sheets

Join QuestPix, Today!

Get notified first, with exam & curriculum updates, course & test series launch offers, motivation & success stories and free learning resources recommended by toppers.

Error formulas

Error, every formula

Mean value

Absolute error

Mean absolute error

Relative error

Percentage error

Error in a sum

Error in a difference

Error in a product

Error in a quotient

Error in a power

General combination

Least count error

Max permissible error

Systematic error

Random error

Precision

Accuracy

Sig. figs (nonzero digits)

Sig. figs (multiplication)

Sig. figs (addition)

Error interval

More JEE Advanced Physics formula sheets

Know the Error formulas. Now use them.

Join QuestPix, Today!