Given that, Half life \\\\({{T}_{\\frac{1}{2}}}=4.5\ imes {{10}^{9}}=4.5\ imes {{10}^{9}}\ imes 3.156\ imes {{10}^{7}}s\\\\) Avogadro number \\\\(N=6.023\ imes {{10}^{23}}\\\\) Now, the number of atoms in 1g of uranium \\\\(N=\\dfrac{6.023\ imes {{10}^{23}}}{238}\\\\)Now, the activity of the sample \\\\( =\\lambda N \\\\) \\\\( =\\dfrac{0.693}{{{T}_{\\frac{1}{2}}}}\ imes N \\\\) \\\\( =\\dfrac{0.693}{4.5\ imes {{10}^{9}}\ imes 3.15\ imes {{10}^{7}}}\ imes \\dfrac{6.023\ imes {{10}^{23}}}{238} \\\\) \\\\( =1.237\ imes {{10}^{4}}\\,d/s \\\\) Hence, the activity of the sample is \\\\(1.237\ imes {{10}^{4}}\\,d/s\\\\)