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QJEEM22Ph41c5: JEE Main 2022 Physics - Class 11 JEEM22Ph41c5 Solution: A torque meter is calibrated to reference standards of mass,…

A torque meter is calibrated to reference standards of mass, length and time each with 5%5 \% accuracy. After calibration, the measured torque with this torque meter will have net accuracy of :

Multiple Choice Options

  • A 5%
  • B 15%
  • C 25%
  • D 75%

Step-by-Step Verified Solution

We know that, torque applied on a rotating body,

τamp;= Force × Perpendicular distance ⇒[τ]amp;=[MLT−2][L]⇒[τ]=[ML2 T−2]\begin{aligned}\tau &=\text { Force } \times \text { Perpendicular distance } \\\\\Rightarrow \quad[\tau] &=\left[\mathrm{MLT}^{-2}\right][\mathrm{L}] \Rightarrow[\tau]=\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]\end{aligned}

⇒Δττ=ΔMM+2ΔLL+2ΔTT\Rightarrow {{\Delta \tau } \over \tau } = {{\Delta M} \over M} + 2{{\Delta L} \over L} + 2{{\Delta T} \over T}

=5×5%=25%= 5 \times 5\% = 25\%

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