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Units and Measurements question

2012 · Shift 1 · Q45
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Units and Measurements question

2012 · Shift 1 · Q45

JEE AdvancedPhysicsUnits and MeasurementsMCQ+4 / −1
In the determination of Young's modulus (Y=4MLgπld2)\left( {Y = {{4MLg} \over {\pi l{d^2}}}} \right)(Y=πld24MLg​) 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 circular scale is 100. The contributions to the maximum probable error of the Y measurement
  1. A
    due to the errors in the measurements of d and l are the same.
  2. B
    due to the error in the measurement of d is twice that due to the error in the measurement of l.
  3. C
    due to the error in the measurement of l is twice that due to the error in the measurement of d.
  4. 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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