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IIT JEE Advanced 2012 Paper 1

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Question : 1

Total: 60

In the determination of Young’s modulus (Y=

) 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. They have the same pitch of 0.5 mm. The number of divisions on their scale is 100. The contributions to the maximum probable error of the Y measurement

due to the errors in the measurements of d and l are the same.
due to the errors in the measurements of d is twice that due to the error in the measurement of l.
due to the errors in the measurements of l is twice that due to the error in the measurement of d.
due to the errors in the measurements of d is four times that due to the error in the measurement of l.

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