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Question

Repeated observations in an experiment gave the values 1.29, 1.33, 1.34, 1.35, 1.32,1.36, 1.30 and 1.33. Find the relative error.


A

0.025

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B

0

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C

0.0175

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D

0.015

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Solution

The correct option is D

0.015


Mean = 1.29+1.33+1.34+1.35+1.32+1.36+1.30.1.338

= 1.3275

= 1.33 (Rounding off to 3 digits)

Sl.No.Observetionchange in xchange in x211.290.040.001621.330.000.00031.340.010.000141.350.020.000451.320.010.000161.360.030.000971.300.030.000981.330.000.0000
σ=Δx2n=0.0048

= 0.022

= 0.02

Absolute error = 0.02

Relative error = 0.021.33=±0.015


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