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In the determination of Young's modulus ...

In the determination of Young's modulus `(Y = (4MLg)/(pi// d^2) )` by using Searle's method, a wire of length L= 2 m and 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 wire is observed. Quantities d and l are measured using a screw gauge and a micrometer, respectively. The 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

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.

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A
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In the determination if Youngs modulus Y = (4MLg)/(pild^(2)) by using searles method, a wire of length L=2m and diameter d=0.5mm is used. For a load M=2.5kg , an extension l=0.25mm in the length of the wire is observed. Quantites D and l 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 contrubution to the maximum probable error of the Y measurement

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