Question

A student finds the density of a liquid by measuring its mass and its volume. The following is a
summary of his measurements.
mass of empty beaker = (20 ± 1) g
mass of beaker + liquid = (70 ± 1) g
volume of liquid = (10.0 ± 0.6) cm3
He correctly calculates the density of the liquid as 5.0 g cm–3.
What is the uncertainty in this value?
A 0.3 g cm–3 B 0.5 g cm–3 C 0.6 g cm–3 D 2.6 g cm–3

Answer 1

Is answer B

Answer 2

(2/50+0.6/10)*5=0.5

Answer 3

density= mass/volume
when we are dividing or multiplying we add % uncertainties
so,
% uncertainty in mass= ( 2*1/70-20)*100= 4%
...................... volume= (.6/10)*100= 6%
add these two and u get 10%
Multiply it with the value of density and u get 0.5 :)