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Question

# The refractive index (μ) of glass is found to have the values 1.49,1.50,1.52,1.54 and 1.48. Calculate percentage error.

A
0.61%
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B
1.32%
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C
2.64%
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D
5.28%
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Solution

## The correct option is B 1.32%Given,n1=1.49n2=1.50n3=1.52n4=1.54n5=1.48Mean value, nm=n1+n2+n3+n4+n55nm=1.49+1.50+1.52+1.54+1.485=1.505nm=1.51Absolute error, |Δn1|=nm−n1=1.51−1.49=0.02|Δn2|=nm−n2=1.51−1.50=0.01|Δn3|=n3−nm=1.51−1.52=0.01|Δn4|=nm−n4=1.54−1.51=0.03|Δn5|=nm−n5=1.51−1.48=0.03The mean of absolute error, Δnm=0.02+0.01+0.01+0.03+0.035Δnm=0.02Percentage error, Δnmnm×100=0.021.51×100=1.32%The correct option is B.

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