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The density of a material in the shape of a cube is determined by measuring sides of the cube and its mass. Relative Error in measuring the mass, length are respectively 1.5% and 1% maximum error in determining the density is

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3.5%

4.5%

2.5%

answer is C.

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Detailed Solution

$ρ = \frac{m}{L^{3}}$

$\frac{Δ ρ}{ρ} \times 100 = \frac{Δ m}{m} \times 100 + \frac{3 Δ L}{L} \times 100 = 1.5 + 3 = 4.5 %$

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