Q53 / 60 · NEST (NISER) 2016 · Physics

A student did an experiment to determine the Young's modulus $(Y)$ of a nylon thread, 2.00 m in length, using Searle's method. A Vernier callipers having a least count of 0.01 mm was used to measure the diameter of the thread. The length and extensions were measured by using a scale with a least count of 1 mm . The data obtained by the student are shown in the table below. Assume the uncertainty in force to be 0.01 N .
$\begin{array}{|l|c|} \hline \text{Length of the thread} & 1994 \text{ mm} \\ \hline \text{Force} & 0.32 \text{ N} \\ \hline \text{Extension of the thread} & 95 \text{ mm} \\ \hline \text{Diameter of the thread} & 0.04 \text{ mm} \\ \hline \end{array}$
Choose the correct alternative(s).

  • Correct answer
    A
    The student reports $Y$ to be about 5 GPa .
  • Correct answer
    B
    The reported uncertainty in $Y$ is $54 \%$.
  • Correct answer
    C
    Measuring the extension using a travelling microscope with a least count of 0.1 mm would improve the accuracy of the result by at most $1 \%$.
  • D
    The stress is 1.8 GPa .

Hence, the correct answer is options: 'A', 'B', 'C'.

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