Instructions in experiments generally say that an "approximate $0\mathrm{.}5g$ is to be weighed out accurately". It is not necessary to measure out the exact amount stated: the amount used should be within about $20\%$ of the value required, and the mass of the amount should be known to within $0\mathrm{.}000lg.$ In this circumstance, which type of balance should be used? What is the acceptable mass range?

Select one:

a$.$ triple beam balance; $0\mathrm{.}4-0\mathrm{.}6g$

b$.$ analytical balance; $0\mathrm{.}8-1\mathrm{.}2g$

c$.$ triple beam balance; $0\mathrm{.}8-1\mathrm{.}2g$

d$.$ analytical balance; $0\mathrm{.}4-0\mathrm{.}6g$