In the determination of Young's modulus by using Searle's method, a wire of length L = 2m and diameter d=0.5mm is used. For a load M2.5kg, an extension 1=0.25mm in the length of the wire is observed. Quantities d and I are measured using a screw gauge and a micrometer, respectively. They have the same pitch of 0.5mm The number of divisions on their circular scale is 100. The contributions to the maximum probable error of the Y measurement

Question:

12. In the determination of Young’s modulus by using Searle’s method, a wire of length L = 2m and diameter d=0.5mm is used. For a load M2.5kg, an extension 1=0.25mm in the length of the wire is observed. Quantities d and I are measured using a screw gauge and a micrometer, respectively. They have the same pitch of 0.5mm The number of divisions on their circular scale is 100. The contributions to the maximum probable error of the Y measurement

Options :

a) Due to the errors in the measurements of d and I are the same
(b) Due to the error in the measurement of d is twice that due to the error in the measurement of I
(c) Due to the error in the measurement of is twice that due to the error in the measurement of d
(d) Due to the error in the measurement of d is four time that due to the error in the measurement of /

Answer :

a) Due to the errors in the measurements of d and I are the same

Answer Steps :

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