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JEE Main 2022 (27 Jul, Shift 1) · Errors in Measurement

Errors in Measurement question from JEE Main 2022 (27 Jul, Shift 1)

Q75JEE Main 2022 · 27 JUL · SHIFT 1Medium

Errors in Measurement

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:

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Answer: (b)

Torque has dimensions $[ML^2T^{-2}]$ .
$\frac{\Delta \tau}{\tau} = \frac{\Delta M}{M} + 2\frac{\Delta L}{L} + 2\frac{\Delta T}{T}$
$= 5\% + 10\% + 10\% = 25\%$
So the answer is (b) $25\%$ .

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