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Units and Measurements question

2016 · Shift 2 · Q41
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Units and Measurements question

2016 · Shift 2 · Q41

JEE AdvancedPhysicsUnits and MeasurementsMultiple correct+4 / −2
In an experiment to determine the acceleration due to gravity g, the formula used for the time period of a periodic motion is T=2π7(R−r)5gT = 2\pi \sqrt {{{7\left( {R - r} \right)} \over {5g}}}T=2π5g7(R−r)​​. The values of R and r are measured to be (60 ±\pm± 1) mm and (10 ±\pm± 1) mm, respectively. In five successive measurements, the time period is found to be 0.52 s, 0.56 s, 0.57 s, 0.54 s and 0.59 s. The least count of the watch used for the measurement of time period is 0.01 s. Which of the following statement(s) is(are) true?
  1. A
    The error in the measurement of r is 10 %
  2. B
    The error in the measurement of T is 3.57 %
  3. C
    The error in the measurement of T is 2 %
  4. D
    The error in the determined value of g is 11 %
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