Mathematics in Physics

JEE Main level, single correct, medium

78 of 121

Question 78 of 121

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

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Answer: (B) 2525%

Dimensional formula for Torque
[τ]=[ML2T−2]\left[\tau \right]=\left[{ML}^{2}{T}^{-2}\right]
Now the percentage error in torque can be calculated by
τ\tau %=\left(1\times \dfrac{∆M}{M}+2\times \dfrac{∆L}{L}+2\times \dfrac{∆T}{T}\right)\times 100 \Rightarrow \tau %=25%

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