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Question

A student did an experiment to determine the Youngs modulus (Y) of a nylon thread, 2.00 m in length, using Searles 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.

Length of the thread1994 mm
Force0.32 N
Extension of the thread95 mm
Diameter of the thread0.04 mm
Choose the correct alternative(s).

A
The student reports Y to be about 5GPa
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B
The reported uncertainty in Y is 54%
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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%
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D
The stress is 1.8 GPa
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Solution

The correct options are
A The student reports Y to be about 5GPa
B The reported uncertainty in Y is 54%
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%
2052930_885101_ans_bfbec582d6e944ca930c1289ec362374.jpg

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