A chemist needs to weigh samples close to with a percentage uncertainty not exceeding

PHYSICS · Multi-part · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

A chemist needs to weigh samples close to 120 g120\,\text{g} with a percentage uncertainty not exceeding 1.0%1.0\%. The absolute uncertainty in a mass reading is taken to be half the least count of the balance being used. Answer the following. (i) Derive an inequality relating the least count LCLC of the balance to the target percentage uncertainty for a 120 g120\,\text{g} sample. (ii) Calculate the largest permissible value of LCLC that will satisfy the chemist’s requirement. (iii) Express the mass 120 g120\,\text{g} to the minimum number of significant figures that would be justified when using a balance with this least count.

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