A torque meter is calibrated to reference standards of mass, length and time each with 5 % accuracy. After…

A torque meter is calibrated to reference standards of mass, length and time each with 5% accuracy. After calibration, the measured torque with this torque meter will have net accuracy of 
  1. 15%
  2. 25%
  3. 75%
  4. 5%

Solution

Dimensional formula for Torque

τ=ML2 T-2

Now the percentage error in torque can be calculated by

τ%=1×∆MM+2×∆LL+2×∆TT×100⇒τ%=25%

Asked in: JEE Main 2022 (27 Jul Shift 1)

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