Physics

The density of a cube is measured by measuring its mass ad length of its side. If the maximum errors in the measurement of its mass and length are $$3\%$$ and $$2\%$$ respectively, the maximum error in the measurement of density would be:


ANSWER

$$9\%$$


SOLUTION
Density   $$d = \dfrac{Mass}{Volume}$$
Or   $$d = \dfrac{m}{a^3}$$
Percentage error in density  %$$ \ d = $$ %$$m +3\times $$ % $$a$$
$$\implies  $$ %$$d = 3+3\times 2 = 9$$ %
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Single Correct Medium Published on 18th 08, 2020
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