A chemist uses a beam balance whose left arm is long while the right arm is long

PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A chemist uses a beam balance whose left arm is 0.505 m0.505\,\text{m} long while the right arm is 0.495 m0.495\,\text{m} long. This defect is unnoticed. A powder sample is placed in the left pan and is balanced by 100 g100\,\text{g} of standard weights in the right pan. (i) Write the torque balance equation for the situation. (ii) Calculate the true mass of the powder sample. (iii) Determine the percentage error in the mass reported by the chemist.

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