Heat and Thermal ExpansionHard
Question
In the determination of Young′s modulus 
by using Searle′s method, a wire of length L = 2mand diameter d = 0.5 mm is used. For a load M = 2.5 kg, an extension l = 0.25 mm in the length of the wireis observed. Quantities d and l are measured using a screw gauge and a micrometer, respectively. Theyhave the same pitch of 0.5 mm. The number of divisions on their circular scale is 100. The contributions tothe maximum probable error of the Y measurement
by using Searle′s method, a wire of length L = 2mand diameter d = 0.5 mm is used. For a load M = 2.5 kg, an extension l = 0.25 mm in the length of the wireis observed. Quantities d and l are measured using a screw gauge and a micrometer, respectively. Theyhave the same pitch of 0.5 mm. The number of divisions on their circular scale is 100. The contributions tothe maximum probable error of the Y measurementOptions
A.due to the errors in the measurements of d and l are the same.
B.due to the error in the measurement of d is twice that due to the error in the measurement of l.
C.due to the error in the measurement of l is twice that due to the error in the measurement of d.
D.due to the error in the measurement of d is four times that due to the error in the measurement of l.
= 0.005 mm
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