A student performs an experiment to determine the Young’s modulus of a wire, exactly 2 m long, by Searle’s method. In a particular reading, the student measures the extension in the length of the wire to be 0.8 mm with an uncertainty of ±0.05 mm at a load of exactly 1.0 kg. The student also measures the diameter of the wire to be 0.4 mm with an uncertainty of ±0.01 mm. Take g = 9.8 m/s^2 (exact). The Young’s modulus obtained from the reading is

Question

A student performs an experiment to determine the Young’s modulus of a  wire, exactly 2 m long, by Searle’s method. In a particular reading, the  student measures the extension in the length of the wire to be 0.8 mm  with an uncertainty of ±0.05 mm at a load of exactly 1.0 kg. The student  also measures the diameter of the wire to be 0.4 mm with an uncertainty  of ±0.01 mm. Take g = 9.8 m/s^2 (exact). The Young’s modulus obtained  from the reading is

Examsnet · Accepted Answer

Correct Answer is :  (2.0 ± 0.2) ×  1011N∕m2.

IIT JEE Advanced 2007 Question Paper 2