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PhysicsErrorMiscellaneousEasy2 minPYQ_2020

PhysicsEasynumerical

Let $x = [\frac{a^{2} b^{2}}{c}]$ be the physical quantity. If the percentage error in the measurement of physical quantities $a$ , $b$ and $c$ are $2 %$ , $3 %$ and $4 %$ respectively then percentage error in the measurement of $x$ is

Answer:

14.00

Solution:

$\frac{Δ x}{x} = 2 \frac{Δ a}{a} + 2 \frac{Δ b}{b} + \frac{Δ c}{c}$

$\frac{Δ x}{y} = 2 \times 2 + 2 \times 3 + 4$

$= 4 + 6 + 4$

$\frac{Δ x}{x} = 14 %$

Stream:NTA_ABHYASSubject:PhysicsTopic:ErrorSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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