Physics - Error Question with Solution | TestHub

PhysicsErrorMiscellaneousEasy2 minPYQ_2020

PhysicsEasynumerical

The lengths of sides of a cuboid are $a$ , $2 a$ and $3 a$ . If the relative percentage error in the measurement of a is $1 %$ , then what is the relative percentage error in the measurement of the volume of the cube.

Answer:

3.00

Solution:

$V = a \times 2 a \times 3 a$

$\Rightarrow V = 6 a^{3}$

$\Rightarrow \frac{ΔV}{V} = 3 \frac{Δa}{a} = 3 %$

Stream:NTA_ABHYASSubject:PhysicsTopic:ErrorSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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