Error Analysis with Searle's experiment

Classical Mechanics Level 3

In searle's experiment, the diameter of the wire as measured by a screw gauge of least count 0.001 cm is 0.050 cm. The length, measured by a scale of least count 0.1 cm, is 110.0 cm. When a weight of 50N is suspended from the wire, the extension is measured to be 0.125 cm by a micrometer of least count 0.001 cm.

1) The maximum percentage error in the measurement of Young's modulus of the material of the wire from these data is 4.89%

2) Measurement of length of the wire contributes least to the total percentage error.

3) Measurement of diameter of the wire contributes highest to the total percentage error.

Which of these statements are correct ?


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