JEE Main & Advanced Physics Mathematical Tools, Units & Dimensions Question Bank Self Evaluation Test - Physical World, Units and Measurements

  • question_answer
    The refractive index of water measured by the relation \[\mu =\frac{real\,depth}{apparent\,\operatorname{depth}}\]is found to have values of 1.34,1.38,1.32 and 1.36; the mean value of refractive index with percentage error is

    A) \[1.35\,\,\pm \,\,1.48%\]

    B) \[1.35\,\,\pm \,\,0%\]

    C)  \[1.36\,\,\pm \,\,6%\]

    D)  \[1.36\,\,\pm \,\,0%\]

    Correct Answer: A

    Solution :

    [a] The mean value of refractive index, \[\mu =\frac{1.34+1.38+1.32+1.36}{4}1.35\] and \[\Delta \mu =\frac{|(1.35-1.34)|+|(1.35-1.38)|+|(1.35-1.32)|+|(1.35-1.36)|}{4}\]\[=0.02\] Thus   \[\frac{\Delta \mu }{\mu }\times 100=\frac{0.02}{1.35}\times 100=1.48\]


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