JEE Main | 2018Errors in measurementEasy

Question

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 :-

Options

A.

3.5 %

B.

4.5 %

C.

6 %

D.

2.5 %

Solution

Density =MassVolume
1∆dd=1∆MM+3∆LL
= 1.5 + 3(1)
= 4.5 %

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