In the determination of Young's modulus by using Searle's method, a wire of length m and diameter mm is used. For a load kg, an extension mm in the length of the wire is observed. Quantities and are measured using a screw gauge and a micrometer, respectively. They have the same pitch of 0.5 mm. The number of divisions on their circular scale is 100. The contributions to the maximum probable error of the Y measurement is
- A.due to the errors in the measurements of and are the same
- B.due to the error in the measurement of is twice that due to the error in the measurement of
- C.due to the error in the measurement of is twice that due to the error in the measurement of
- D.due to the error in the measurement of is four times that due to the error in the measurement of
Show answer
Correct option: C
[AIEEE 2012]