JEE PHYSICS MCQ: UNITS & MEASUREMENTS

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A physical quantity is given by

X = {M^a}{L^b}{T^c}

. The percentage error in measurement of M,L and T are

\alpha ,\;\beta

and

\gamma

respectively. The maximum percentage error in the quantity X is

View answer and explanation

Correct option: A

a\alpha + b\beta + c\gamma

Option A (

a\alpha + b\beta + c\gamma

) is correct because the maximum percentage error is the sum of the absolute values of the percentage errors multiplied by their respective exponents.

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\left[ {{\mathrm{M}^{ - 1}}{\mathrm{L}^{ - 3}}{\mathrm{A}^2}{T^3}} \right]

is A quantity X is given by

{\varepsilon _0}L\frac{{\Delta V}}{{\Delta t}},\;

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{\Delta V}

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