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In the determination if Young's modulus ...

In the determination if Young's modulus `((Y = (4MLg)/(pild^(2))` by using searle's 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

A

due to the errors in the measurements of d and l are the same.

B

due to the error is 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 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 measurment of l.

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The correct Answer is:
a
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