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Physics - Error Question with Solution | TestHub

PhysicsErrorMiscellaneousEasy2 minPYQ_2018

PhysicsEasysingle choice

The percentage error in measuring $M, L$ and $T$ are $1%, 1.5%$ and $3%$ respectively. Then the percentage error in measuring the physical quantity with dimensions $[ML^{- 1} T^{- 1}]$ is

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Solution:

( Let $X = [ML^{- 1} T^{- 1}]$ Percentage error in $X$ is $\frac{Δ X}{X} \times 100 = (\frac{Δ M}{M} + \frac{Δ L}{L} + \frac{Δ T}{T}) \times 100$ Here, $\frac{Δ M}{M} \times 100 = 1%, \frac{Δ L}{L} \times 100 = 1.5%$ and $\frac{Δ T}{T} \times 100 = 3% ∴ \frac{Δ X}{X} \times 100 = 1% + 1.5% + 3% = 5.5%$

Stream:AIIMSSubject:PhysicsTopic:ErrorSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2018

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