In an experiment the values of refractive index of glass were found to be 2.54, 2.38, 2.74, 2.49, 2.63, 1.45. The relative error and percentage error in refractive index are
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a
0.04, 4%
b
0.03, 3%
c
0.13, 13%
d
0.11, 11%
answer is C.
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Detailed Solution
μ mean=μ1+μ2+μ3+μ4+μ5+μ66 =2.54+2.38+2.74+2.49+2.63+1.456 =14.236 =2.37 Absolute errors in the measurements are ∆μ1=2.54-2.37=0.17 ∆μ2=2.38-2.37=0.01 ∆μ3=2.74-2.37=0.37 ∆μ4=2.49-2.37=0.12 ∆μ5=2.63-2.37=0.26 ∆μ6=1.45-2.37=0.92 ∆μmean=Δμ1+Δμ2+∆μ3+∆μ4+Δμ56 =0.17+0.01+0.37+0.12+0.26+0.926 =1.856 =0.31 Relative error=∆μmeanμmean=0.312.37=0.13 % Error=∆μmeanμmean×100=0.13×100=13%