Q 11-01-166JEE MainJEE Main 2022 (27 Jul, Shift 1)Easy
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
Answer: (B) $25\%$
Torque has dimensions $[\text{ML}^2\text{T}^{-2}]$, so
$$\frac{\Delta\tau}{\tau} = \frac{\Delta M}{M} + 2\frac{\Delta L}{L} + 2\frac{\Delta T}{T} = 5\% + 10\% + 10\% = 25\%$$
Solution by Sreeraj P, M.Sc Physics