Question

The density of a cube is determined by measuring
its mass and length of its one side. If
maximum error in measurement of mass is
4 % and edge is measured with an error
of 3% then the percentage error in the
measurement of density will be
a) 13 %
b) 9%
c) 7 %
d) 1%​

Answer 1

Answer:

het friend here is your answer

Step-by-step explanation:

13%

Answer 2

Answer: a) 13%

Explanation:

Volumetric Density = Mass/Volume

Or, mathematically, p = m/v = m/l³

(where, l = length of edge of cube; v (cube) = l³)

Therefore,

∆p/p = ∆m/m + 3 ∆l/l

Multiplying 100 to LHS & RHS,

=> ∆p/p × 100 = 100 × ∆m/m + 3(∆l/l × 100)

Substituting the values,

=> % errror in density = (% error in mass measurement) + 3(% error in edge length measurement)

=> Per error = 4% + 3(3%) = 4% + 9% = 13%.

Keep in mind that, errors are always added. They cannot be subtracted or eliminated completely. Repeated measurements decrease error.