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In the determination of Young’s modulus Y=4MLg/pi*ld^2 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. 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

In the determination of Young’s modulus Y=4MLg/pi*ld^2 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. 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

Grade:10

1 Answers

Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
9 years ago
dy/y = dm/m + dl/l + 2 d(ld)/ld is the total error using the log error formula , we can now calculate the error by putting the values of all the unkonws, since m is given dm=0, dl=.001c and so.

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