Q61 / 90 · JEE Main 2022 (27 Jul Shift 1) · Physics

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

A
$15 %$
Correct answer
B
$25 %$
C
$75 %$
D
$5 %$

Solution

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

Hence, the correct answer is option: 'B'.

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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

Solution

Relevant Questions

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