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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 =180cm and a diametre d=0.6 mm is used. For a load M =4 kg, an extension l= 0.2 mm in the length of the wire is observed. Quantities d and I are measured using a 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 measurement are

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 0.4% more than that due to the error in the measurement of l.

C

due to the error in the measurement of l is 0.83% more than 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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The correct Answer is:
C
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