A sample has two isotopes \( A^{150} \) and \( B \) having masses \...

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A sample has two isotopes \( A^{150} \) and \( B \) having masses \( 50 \mathrm{~g} \) and \( 30 \mathrm{~g} \) respectively. \( A \) is radioactive and \( B \) is stable. A decays to \( A^{\prime} \) by emitting \( \alpha \) particles. The half life of \( A \) is \( 2 \mathrm{hrs} \). The mass of total sample after 4 hours is nearly \( 4 n \times 10^{-n} \mathrm{~kg} \). Find \( n \)
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