A public park, in the form of a square, has an area of 100 ± 0.2 m 2 . The side of park is

A = l 2 l = A = 10 m Δ A A = 2 Δ l l Δ l l = 1 2 Δ A A Δ l = 1 2 ( Δ A A ) l Δ l = 1 2 ( 0.2 100 ) × 10 = 0.01 m

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Physics - Unit & Dimension Question with Solution | TestHub

PhysicsUnit & DimensionMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

A public park, in the form of a square, has an area of $(100 \pm 0.2) m^{2}$ . The side of park is

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Answer:

Solution:

$\begin{array}{l} A = l^{2} \\ l = \sqrt{A} = 10 m \\ \frac{Δ A}{A} = 2 \frac{Δ l}{l} \\ \frac{Δ l}{l} = \frac{1}{2} \frac{Δ A}{A} \\ Δ l = \frac{1}{2} (\frac{Δ A}{A}) l \\ Δ l = \frac{1}{2} (\frac{0.2}{100}) \times 10 = 0.01 m \end{array}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Unit & DimensionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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