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Question

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:


A
12%
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B
14%
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C
7%
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D
9%
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Solution

The correct option is D $$9\%$$
Density   $$d = \dfrac{Mass}{Volume}$$
Or   $$d = \dfrac{m}{a^3}$$
Percentage error in density  %$$ \ d = $$ %$$m +3\times $$ % $$a$$
$$\implies  $$ %$$d = 3+3\times 2 = 9$$ %

Physics

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