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NEET 2020
Exam
NEET
Year
2020
Subject
Physics
Chapter
Mathematics in Physics

NEET 2020 · Physics · Mathematics in Physics

Time intervals measured by a clock give the following readings: 1 ....

Time intervals measured by a clock give the following readings: 1.25s,1.24s,1.27s,1.21s1 . 25s, 1 . 24s, 1 . 27s, 1 . 21s and 1.28s1 . 28s. What is the percentage relative error of the observations?

Options

  1. A22 %
  2. B44 %
  3. C1616 %
  4. D1.61 . 6 %

Correct answer

D. 1.61 . 6 %

Step-by-step solution

First, calculate the mean of observations,&

⇒Am=1.25+1.24+1.27+1.21+1.285=1.25sec⇒ {A}_{m} = \dfrac{1 . 25 + 1 . 24 + 1 . 27 + 1 . 21 + 1 . 28}{5}= 1 . 25sec,~
it means,& ∆ {A}_{1} = \left|1 . 25 - 1 . 25\right|s, ∆ {A}_{2} = \left|1 . 24 - 1 . 25\right|s, ∆ {A}_{3} = \left|1 . 27 - 1 . 25\right|s, ∆ {A}_{4} = \left|1 . 21 - 1 . 25\right|s & ∆ {A}_{5} = \left|1 . 28 - 1 . 25\right|s

~then calculates the mean of error,&

∆Am=0+0.01+0.02+0.04+0.035=0.15∆ {A}_{m} = \dfrac{0 + 0 . 01 + 0 . 02 + 0 . 04 + 0 . 03}{5}= \dfrac{0 . 1}{5}

%~error& ∆AmAm=0.1×1005×1.25=1.6\dfrac{∆ {A}_{m}}{Am} = \dfrac{0 . 1 \times 100}{5 \times 1 . 25} = 1 . 6 %

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