JEE Main 2019 — Physics solution

JEE Main2019Physics

In the density measurement of a cube, the mass and edge length are measured as (10.00 ± 0.10) kg and (0.10 ± 0.01) m, respectively. The relative error in the measurement of density is

A
0.31
B
0.01
C
0.10
D
0.07

Solution

$ρ = M / V \frac{d ρ}{ρ} = [\frac{d M}{M} + \frac{d V}{V}] \frac{d ρ}{ρ} = \frac{0.1}{10} + \frac{0.03}{0.1} \frac{d ρ}{ρ} = 0.31$

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