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TS EAMCET · Physics · Mathematics in Physics

Consider a series of measurements of the length of a box in an experiment. The readings are \(2.4 \mathrm{~m}, 2.5 \mathrm{~m}, 2.6 \mathrm{~m}, 2.8 \mathrm{~m}\), \(3.0 \mathrm{~m}\). What would be the relative error?

  1. A 0.11
  2. B 0.089
  3. C 0.079
  4. D 0.072
Verified Solution

Answer & Solution

Correct Answer

(D) 0.072

Step-by-step Solution

Detailed explanation

Given that, number of observations, \(n=5\) \(\begin{aligned} & a_1=2.4 \mathrm{~m}, a_2=2.5 \mathrm{~m}, a_3=2.6 \mathrm{~m}, a_4=2.8 \mathrm{~m}, \\ & a_5=3.0 \mathrm{~m} \end{aligned}\) Mean value of observations,…
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