A mixture consists of two radioactive materials A1 and A2 with half lives of 20 s and 10 s respectively. Initially the mixture has 40 g of A1 and 160 g of A2 The amount of the two in the mixture will become equal after

Question

A mixture consists of two radioactive materials A1 and A2 with half lives of 20 s and 10 s respectively. Initially the mixture has 40 g of A1 and 160 g of A2 The amount of the two in the mixture will become equal after (A) 60 s (B) 80 s (C) 20 s (D) 40 s

Tardigrade Admin · Accepted Answer

For A, 40 g stackrel20 s longrightarrow 20 g stackrel20 s longrightarrow 10 g For B, 160 g stackrel10 s longrightarrow 80 g stackrel10 s longrightarrow 40 g stackrel10 s longrightarrow 20 g stackrel10 s longrightarrow 10 g

Q. A mixture consists of two radioactive materials $A_{1}$ and $A_{2}$ with half lives of $20 s$ and $10 s$ respectively. Initially the mixture has $40 g$ of $A_{1}$ and $160 g$ of $A_{2}$ The amount of the two in the mixture will become equal after

60 s

80 s

20 s

40 s

For $A, 40 g ⟶ 20 s 20 g ⟶ 20 s 10 g$
For $B, 160 g ⟶ 10 s 80 g ⟶ 10 s 40 g ⟶ 10 s 20 g ⟶ 10 s 10 g$

Q. A mixture consists of two radioactive materials A1​ and A2​ with half lives of 20s and 10s respectively. Initially the mixture has 40g of A1​ and 160g of A2​ The amount of the two in the mixture will become equal after