In the density measurement of a cube, the mass and edge length are measured as 10.00 ± 0.10 k g and 0.10 ± 0.01 m , respectively. The error in the measurement of density is:

Density ρ = m a s s v o l u m e ∆ ρ ρ = ∆ m m + ∆ V V = ∆ m m + 3 ∆ a a ∵ V = a 3 = 0.1 10 + 3 0.01 0.1 = 0.01 + 3 0.1 = 0.31

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Physics - Unit & Dimension Question with Solution | TestHub

PhysicsUnit & DimensionMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

In the density measurement of a cube, the mass and edge length are measured as $(10.00 \pm 0.10) k g$ and $(0.10 \pm 0.01) m,$ respectively. The error in the measurement of density is:

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Answer:

Solution:

Density $(ρ) = \frac{m a s s}{v o l u m e}$
$\frac{∆ ρ}{ρ} = \frac{∆ m}{m} + \frac{∆ V}{V}$
$= \frac{∆ m}{m} + \frac{3 ∆ a}{a}$ $(∵ V = a^{3})$
$= \frac{0.1}{10} + 3 (\frac{0.01}{0.1})$
$= 0.01 + 3 (0.1)$
$= 0.31$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Unit & DimensionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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