There are $10^{10}$ radioactive nuclei in a given radioactive element. Its half-life time is 1 min. How many nuclei will remain after $30\mathrm{~s}$? $(\sqrt{2} = 1.414)$\\
(1) $7 \times 10^{9}$\\
(2) $10^{5}$\\
(3) $2 \times 10^{10}$\\
(4) $4 \times 10^{10}$