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JEE Main 202227 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
27 July
Shift
Morning Shift
Subject
Physics
Chapter
Mathematics in Physics

JEE Main 2022 · 27 July · Morning Shift · Physics · Mathematics in Physics

A torque meter is calibrated to reference standards of mass, length...

A torque meter is calibrated to reference standards of mass, length and time each with 55 % accuracy. After calibration, the measured torque with this torque meter will have net accuracy of

Options

  1. A1515 %
  2. B2525 %
  3. C7575 %
  4. D55 %

Correct answer

B. 2525 %

Step-by-step solution

Dimensional formula for Torque

[τ]=[ML2T−2]</p><p>Now\left[τ\right] = \left[{ML}^{2}{T}^{- 2}\right]</p><p>Now the percentage error in torque can be calculated by

τ % = \left(1 \times \dfrac{∆ M}{M} +2 \times \dfrac{∆ L}{L} +2 \times \dfrac{∆ T}{T}\right) \times 100 ⇒ τ % = 25 %

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