Question

The density of the material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in
measuring the mass and length are respectively 1.5% and 1%, the maximum error in determining the density is:
[JEE (Main) 2018]
(A) 4.5%
(B) 6%
(C) 2.5%
(D) 3.5%​

Answer 1

Answer:

The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively 1.5% and 1%, the maximum error in determining the density is: 3.5%

Answer 2

$\large\underline{\sf{Solution-}}$

Question:-

The density of the material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in

measuring the mass and length are respectively 1.5% and 1%, the maximum error in determining the density is:

[JEE (Main) 2018]

(A) 4.5%

(B) 6%

(C) 2.5%

(D) 3.5%

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[Ah that's not that hard to do at all!]

R€quired Answer:-

Formula:-

$\boxed{Density = \dfrac{Mass}{Volume}}$

$\sf{1 = \triangle\dfrac{d}{d} = 1\: \triangle\dfrac{M}{M} + 3 \: \triangle\dfrac{L}{L}}$

$\mathtt :\implies{1.5 + 3 × 1}$

$\mathtt :\implies{4.5\%}$

• Hence the correct option is (A)4.5%

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Hopes it helps!:)